quiz on 3.1 3.3: round 1: round 2: · round 2:_____ this packet may be used on your test and will...
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ALGEBRA 1 – UNIT 3 POWER PACKET
1
Quiz on 3.1 – 3.3: ________________
Round 1:_______________________
Round 2:_______________________
This packet may be used on your test and will be collected after Round 2.
Section 3.1: Slope and Rate of Change
Section 3.2: Graph Linear Equations Using Slope and 𝑦 − intercept
Section 3.3: Write linear equations using slope and 𝑦 −intercept
Section 3.4: Graph equations in standard form
Section 3.5: Solve literal equations
Section 3.6: Direct Variation
Section 3.7: Inverse Variation
Cumulative Review
ALGEBRA 1 – UNIT 3 POWER PACKET
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SECTION 3.1: SLOPE AND RATE OF CHANGE
Find the slope of the line.
1.
SLOPE:
Increasing or decreasing?
2.
SLOPE:
Increasing or decreasing?
3.
SLOPE:
Increasing or decreasing?
Find the slope of the line that goes through the points.
4. (4, −1), (2, −1)
5. (10, 4), (4, 15)
The points in the table form a line. Find the slope of each line.
6.
7.
ALGEBRA 1 – UNIT 3 POWER PACKET
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SECTION 3.2: GRAPH LINEAR EQUATIONS USING SLOPE AND Y-INTERCEPT
Find the slope and 𝒚- intercept of the graph of the linear equation.
8. 𝑦 = 4𝑥 − 5
Slope:_____________
Increasing or decreasing?
y-intercept:__________
9. 𝑦 = −7𝑥 + 12
Slope:_____________
Increasing or decreasing?
y-intercept:__________
10. 𝑦 = −4
5𝑥
Slope:_____________
Increasing or decreasing?
y-intercept:__________
SECTION 3.3: WRITE LINEAR EQUATIONS USING SLOPE AND Y-INTERCEPT
Write an equation of the line with the slope and y-intercept.
11.
12.
13.
Write an equation of the line.
14.
15.
16.
Slope: _____________
𝑦 −int:_____________
Equation:___________
Slope: _____________
𝑦 −int:_____________
Equation:___________
Slope: _____________
𝑦 −int:_____________
Equation:___________
ALGEBRA 1 – UNIT 3 POWER PACKET
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Write and graph each equation.
17. Given:
Slope: −3
Goes through: (0, 4)
Equation: Graph:
18. Given:
Slope: −1
2
Goes through: (4, −2)
Equation: Graph:
19. Given:
Goes through: (−3, 1)
Goes through: (0, −8)
Equation:
Graph:
20. Given:
Goes through:
(−1, −4)
Goes through: (1, − 6)
Equation: Graph:
ALGEBRA 1 – UNIT 3 POWER PACKET
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SECTION 3.4: GRAPH EQUATIONS IN STANDARD FORM
Graph each equation and find the 𝒙 and 𝒚 −intercepts.
21. 4𝑥 + 𝑦 = 4
𝑦-int:________________
𝑥-int:________________
22. 3𝑥 − 3𝑦 = 0
𝑦-int:________________
𝑥-int:________________
23. 2𝑥 − 8𝑦 = 24
𝑦-int:________________
𝑥-int:________________
SECTION 3.5: SOLVE LITERAL EQUATIONS
Solve each equation for the variable
24. 2𝑟 + 4𝑠 = 8𝑡 Solve for 𝑟. 25. 𝑥+5
𝑧= 8 Solve for 𝑥.
ALGEBRA 1 – UNIT 3 POWER PACKET
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SECTION 3.6: DIRECT VARIATION
Determine if the equation, graph, or table is direct variation.
1. 𝑦 = −5𝑥 + 4
2. 𝑦 =1
2𝑥
3.
4.
The graph and the table show direct variation. Find the constant of variation and write the direct
variation equation.
5.
6.
Constant of
variation:
Direct variation
equation:
Constant of
variation:
Direct variation
equation:
ALGEBRA 1 – UNIT 3 POWER PACKET
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SECTION 3.7: INVERSE VARIATION
Determine whether the equation is direct variation, inverse variation, or neither.
7. 𝑦 = 6𝑥 8. 𝑦 =4
𝑥 9. 𝑦 =
1
3𝑥
10. 𝑥𝑦 = 8 11. 𝑦 = 𝑥 + 7 12. 𝑦 + 3 = −7𝑥
Use the information to answer each question.
13. The points represent inverse variation.
Which equation represents this
relation.
(−1, 8), (4, −2), (2, 4)
a. 𝑦 = −3𝑥 + 5
b. 𝑦 = −2𝑥
c. 𝑦 =−𝑥
8
d. 𝑦 =−8
𝑥
14. The points represent direct variation.
Which equation represents this
relation.
(1, 4), (2, 8), (3, 12)
a. 𝑦 = 2𝑥 + 11
b. 𝑦 =4
𝑥
c. 𝑦 = 4𝑥
d. 𝑦 =1
4𝑥
ALGEBRA 1 – UNIT 3 POWER PACKET
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REVIEW FROM UNITS 1 AND 2
ALGEBRA 1 – UNIT 3 POWER PACKET
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