1.5 – solving inequalities
DESCRIPTION
1.5 – Solving Inequalities. *Just like solving equations*. 1.5 – Solving Inequalities. *Just like solving equations* Example 1. 1.5 – Solving Inequalities. *Just like solving equations* Example 1 - Solve 7 x – 5 > 6 x – 4 and graph on a number line. 1.5 – Solving Inequalities. - PowerPoint PPT PresentationTRANSCRIPT
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1.5 – Solving Inequalities
![Page 2: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/2.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
![Page 3: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/3.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1
![Page 4: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/4.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
![Page 5: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/5.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
![Page 6: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/6.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
![Page 7: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/7.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5
![Page 8: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/8.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5 > -4
![Page 9: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/9.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5 > -4
+5 +5
![Page 10: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/10.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5 > -4
+5 +5
x
![Page 11: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/11.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5 > -4
+5 +5
x >
![Page 12: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/12.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5 > -4
+5 +5
x > 1
![Page 13: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/13.jpg)
1.5 – Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5 > -4
+5 +5
x > 1
![Page 14: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/14.jpg)
1.5– Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5 > -4
+5 +5
x > 1
0
![Page 15: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/15.jpg)
1.5– Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5 > -4
+5 +5
x > 1
0 1
![Page 16: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/16.jpg)
1.5– Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5 > -4
+5 +5
x > 1
0 1
![Page 17: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/17.jpg)
1.5– Solving Inequalities
*Just like solving equations*
Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.
7x – 5 > 6x – 4
-6x -6x
x – 5 > -4
+5 +5
x > 1
0 1
![Page 18: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/18.jpg)
Example 2
![Page 19: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/19.jpg)
Example 2 – Solve –m < -m + 4 and graph. 9
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m <
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m < -m + 4
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m < -m + 4 +m +m
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m < -m + 4 +m +m –8m
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m < -m + 4 +m +m –8m <
![Page 30: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/30.jpg)
Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m < -m + 4 +m +m –8m < 4
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m < -m + 4 +m +m –8m < 4
-8 -8
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m < -m + 4 +m +m –8m < 4
-8 -8 m
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m < -m + 4 +m +m –8m < 4
-8 -8 m >
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 9
9·–m < -m + 4 ·9 9
–9m < -m + 4 +m +m –8m < 4
-8 -8 m >
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 99·–m < -m + 4 ·9 9–9m < -m + 4 +m +m –8m < 4
-8 -8 m > -½
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 99·–m < -m + 4 ·9 9–9m < -m + 4 +m +m –8m < 4
-8 -8 m > -½
![Page 37: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/37.jpg)
Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 99·–m < -m + 4 ·9 9–9m < -m + 4 +m +m –8m < 4
-8 -8 m > -½
0
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Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 99·–m < -m + 4 ·9 9–9m < -m + 4 +m +m –8m < 4
-8 -8 m > -½
0-1½ -1 -½
![Page 39: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/39.jpg)
Example 2 – Solve –m < -m + 4 and graph. 9
–m < -m + 4 99·–m < -m + 4 ·9 9–9m < -m + 4 +m +m –8m < 4
-8 -8 m > -½
0-1½ -1 -½
![Page 40: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/40.jpg)
Example 3
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Example 3 – Define a variable and write an inequality for each problem. Then solve.
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Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
![Page 43: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/43.jpg)
Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
![Page 44: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/44.jpg)
Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
-4x
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Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
-4x
![Page 46: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/46.jpg)
Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
-4x >
![Page 47: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/47.jpg)
Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
-4x >
![Page 48: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/48.jpg)
Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
-4x >
![Page 49: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/49.jpg)
Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
-4x > 35
![Page 50: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/50.jpg)
Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
-4x > 35
-4 -4
![Page 51: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/51.jpg)
Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
-4x > 35
-4 -4
x <
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Example 3 – Define a variable and write an inequality for each problem. Then solve.
The product of –4 and a number is at least 35.
-4x > 35
-4 -4
x < -8.75
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
![Page 54: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/54.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
![Page 55: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/55.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%( )
![Page 56: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/56.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%( )
![Page 57: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/57.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%( ? )
![Page 58: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/58.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%( ? )
![Page 59: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/59.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%( ? ) +
![Page 60: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/60.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%( ? ) +
![Page 61: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/61.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%( ? ) + 25%( )
![Page 62: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/62.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%( ? ) + 25%( )
![Page 63: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/63.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%( ? ) + 25%( ? )
![Page 64: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/64.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%( ? ) + 25%( ? )
![Page 65: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/65.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%( ? )
![Page 66: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/66.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%( ? )
![Page 67: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/67.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x)
![Page 68: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/68.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x)
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
![Page 70: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/70.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
0.75
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
0.75(76)
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
0.75(76) +
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
0.75(76) + 0.25
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
0.75(76) + 0.25(x)
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
0.75(76) + 0.25(x) ≥ 80
![Page 76: 1.5 – Solving Inequalities](https://reader035.vdocument.in/reader035/viewer/2022070408/568143a9550346895db03021/html5/thumbnails/76.jpg)
Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
0.75(76) + 0.25(x) ≥ 80
57
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
0.75(76) + 0.25(x) ≥ 80
57 + 0.25x
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 800.75(76) + 0.25(x) ≥ 80 57 + 0.25x ≥ 80
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 800.75(76) + 0.25(x) ≥ 80 57 + 0.25x ≥ 80
-57 -57
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
0.75(76) + 0.25(x) ≥ 80
57 + 0.25x ≥ 80
-57 -57
0.25x
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 80
0.75(76) + 0.25(x) ≥ 80
57 + 0.25x ≥ 80
-57 -57
0.25x ≥ 23
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 800.75(76) + 0.25(x) ≥ 8057 + 0.25x ≥ 80
-57 -57 0.25x ≥ 23 0.25 0.25
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 800.75(76) + 0.25(x) ≥ 8057 + 0.25x ≥ 80
-57 -57 0.25x ≥ 23 0.25 0.25
x
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 800.75(76) + 0.25(x) ≥ 8057 + 0.25x ≥ 80
-57 -57 0.25x ≥ 23 0.25 0.25
x ≥
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Ex. 4 The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need to make on the final exam to have a final grade of at least 80?
75%(76) + 25%(x) ≥ 800.75(76) + 0.25(x) ≥ 8057 + 0.25x ≥ 80
-57 -57 0.25x ≥ 23 0.25 0.25
x ≥ 92