EOC Practice #3 SPI 3102.1.3.

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Presentation transcript:

EOC Practice #3 SPI 3102.1.3

EOC Practice #3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems.

Simplify: 3(x – 2y) + 7(x + 3y) – 3y A. 4x – 30y B. 10x + 12y C. –6x + 12y D. 7x – 10y

Simplify: –4(2x – 3y) + 4x – 2(x + 6) A. –6x B. –6x + 24y C. 12y – 12 D. –6x + 12y – 12

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

Simplify: 5x6(2x4 – x3 + 7x2 – 4x) A. 10x10 – 5x9 + 35x8 – 20x7 B. 10x24 – 5x18 + 35x12 – 20x6 C. 7x24 – 4x18 + 12x12 + x6 D. 20x34

5. If x = –4 and y = 8, evaluate the following expression. A. 1544 B. –1500 C. –200 D. 1540

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

What is the value of the expression when x = 6 and y = –4? 8xy2 – 5x2 A. –948 B. 588 C. 324 D. 35,964

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?

A. associative property B. commutative property C. distributive property D. subtraction property of equality

The Answers

Simplify: 3(x – 2y) + 7(x + 3y) – 3y A. 4x – 30y B. 10x + 12y C. –6x + 12y D. 7x – 10y

Simplify: –4(2x – 3y) + 4x – 2(x + 6) A. –6x B. –6x + 24y C. 12y – 12 D. –6x + 12y – 12

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

Simplify: 5x6(2x4 – x3 + 7x2 – 4x) A. 10x10 – 5x9 + 35x8 – 20x7 B. 10x24 – 5x18 + 35x12 – 20x6 C. 7x24 – 4x18 + 12x12 + x6 D. 20x34

5. If x = –4 and y = 8, evaluate the following expression. A. 1544 B. –1500 C. –200 D. 1540

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

What is the value of the expression when x = 6 and y = –4? 8xy2 – 5x2 A. –948 B. 588 C. 324 D. 35,964

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?

A. associative property B. commutative property C. distributive property D. subtraction property of equality