Name _________________________________________________ Period ________ Date ____________ Unit 8 Expressions Test Review #2 Evaluate each expression using the information provided. + 4 when = 6 + 4(x3 ÷ 8) when x = x 1. −3x2 2. −12 −2 3. + 6 + when n = 4. 48 ÷ 6 × 2 when m = 7 n2 m2 −9 – 5. The square of the sum of 6 and 3 6. Triple the difference of and 12, when x = 5 x Write and evaluate each expression. 7 . Isabella has three more than twice as many crayons as Abby. a. Write an algebraic expression to represent the number of crayons that Isabella has. b. Evaluate the expression when Abby has 15 crayons. 8. The skating rink charges $100 to reserve the place and then $5 per person. a. Write an expression to represent the cost for any number of people. Use = the number of people. n b. Evaluate the expression for = 24 people. n 9. The small square below has a side length of The large square has a side length of a. 3a. a. Write an expression to represent the perimeter of the small square. b. Write an expression to represent the area of the small square. c. Write an expression to represent the perimeter of the large square. d. Write an expression to represent the area of the large square. 10. Draw a rectangle that has an area of 16a2 and a perimeter of 16a. - Label the length and width of your rectangle on the drawing. - Prove (in words and/or numbers) that the area is 16a2 and the perimeter is 16a.
Name _________________________________________________ Period ________ Date ____________ Unit 8 Expressions Test Review #2 Evaluate each expression using the information provided. 1. −3x2 + 4 when x = 6 2. −12 + 4(x3 ÷ 8) when x = −2 3. + 6 + n2 when n = −9 4. m2 – 48 ÷ 6 × 2 when m = 7 5. The square of the sum of 6 and 3 6. Triple the difference of x and 12, when x = 5 Write and evaluate each expression. 7 . Isabella has three more than twice as many crayons as Abby. a. Write an algebraic expression to represent the number of crayons that Isabella has. b. Evaluate the expression when Abby has 15 crayons. 8. The skating rink charges $100 to reserve the place and then $5 per person. a. Write an expression to represent the cost for any number of people. Use n = the number of people. b. Evaluate the expression for n = 24 people. 9. The small square below has a side length of a. The large square has a side length of 3a. a. Write an expression to represent the perimeter of the small square. b. Write an expression to represent the area of the small square. c. Write an expression to represent the perimeter of the large square. d. Write an expression to represent the area of the large square. 10. Draw a rectangle that has an area of 16a2 and a perimeter of 16a. - Label the length and width of your rectangle on the drawing. - Prove (in words and/or numbers) that the area is 16a2 and the perimeter is 16a.
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