eoc practice #3 spi 3102.1.3. eoc practice #3 apply properties to evaluate expressions, simplify...
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![Page 1: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/1.jpg)
EOC Practice #3SPI 3102.1.3
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EOC Practice #3
• Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems.
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1. Simplify:
3(x – 2y) + 7(x + 3y) – 3y
A. 4x – 30y
B. 10x + 12y
C. –6x + 12y
D. 7x – 10y
![Page 4: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/4.jpg)
2. Simplify:
–4(2x – 3y) + 4x – 2(x + 6)
A. –6x
B. –6x + 24y
C. 12y – 12
D. –6x + 12y – 12
![Page 5: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/5.jpg)
3. If x = –2, y = 5, and z = 3, evaluate the following expression.
x4 – 5y + 2(x – z)2
A. 50
B. –41
C. 41
D. 63
![Page 6: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/6.jpg)
4. Simplify:
5x6(2x4 – x3 + 7x2 – 4x)
A. 10x10 – 5x9 + 35x8 – 20x7
B. 10x24 – 5x18 + 35x12 – 20x6
C. 7x24 – 4x18 + 12x12 + x6
D. 20x34
![Page 7: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/7.jpg)
5. If x = –4 and y = 8, evaluate the
following expression.
32
32
yx
A. 1544
B. –1500
C. –200
D. 1540
![Page 8: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/8.jpg)
6. Identify the property used to simplify the following expression.
3(x – 7) = 3x – 21
A. Associative Property of Addition
B. Commutative Property of Addition
C. Distributive Property
D. Identity Property of Addition
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7. What is the value of the expression when x = 6 and y = –4?
8xy2 – 5x2
A. –948
B. 588
C. 324
D. 35,964
![Page 10: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/10.jpg)
8. David wants to buy a new bicycle that cost $295 before a 40% discount. He finds the cost after the discount, in dollars, by evaluating 295 – 295(0.40). His brother Michael finds the same cost by evaluating 295(1 – 0.40). What property can be used to justify that these two expressions represent the same cost after the discount?
![Page 11: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/11.jpg)
A. associative property
B. commutative property
C. distributive property
D. subtraction property of equality
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The Answers
![Page 13: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/13.jpg)
1. Simplify:
3(x – 2y) + 7(x + 3y) – 3y
A. 4x – 30y
B. 10x + 12y
C. –6x + 12y
D. 7x – 10y
![Page 14: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/14.jpg)
2. Simplify:
–4(2x – 3y) + 4x – 2(x + 6)
A. –6x
B. –6x + 24y
C. 12y – 12
D. –6x + 12y – 12
![Page 15: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/15.jpg)
3. If x = –2, y = 5, and z = 3, evaluate the following expression.
x4 – 5y + 2(x – z)2
A. 50
B. –41
C. 41
D. 63
![Page 16: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/16.jpg)
4. Simplify:
5x6(2x4 – x3 + 7x2 – 4x)
A. 10x10 – 5x9 + 35x8 – 20x7
B. 10x24 – 5x18 + 35x12 – 20x6
C. 7x24 – 4x18 + 12x12 + x6
D. 20x34
![Page 17: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/17.jpg)
5. If x = –4 and y = 8, evaluate the
following expression.
32
32
yx
A. 1544
B. –1500
C. –200
D. 1540
![Page 18: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/18.jpg)
6. Identify the property used to simplify the following expression.
3(x – 7) = 3x – 21
A. Associative Property of Addition
B. Commutative Property of Addition
C. Distributive Property
D. Identity Property of Addition
![Page 19: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/19.jpg)
7. What is the value of the expression when x = 6 and y = –4?
8xy2 – 5x2
A. –948
B. 588
C. 324
D. 35,964
![Page 20: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/20.jpg)
8. David wants to buy a new bicycle that cost $295 before a 40% discount. He finds the cost after the discount, in dollars, by evaluating 295 – 295(0.40). His brother Michael finds the same cost by evaluating 295(1 – 0.40). What property can be used to justify that these two expressions represent the same cost after the discount?
![Page 21: EOC Practice #3 SPI 3102.1.3. EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems](https://reader034.vdocument.in/reader034/viewer/2022042504/56649d945503460f94a7c9fe/html5/thumbnails/21.jpg)
A. associative property
B. commutative property
C. distributive property
D. subtraction property of equality