1. Kristina L. Anderson March 28, 2009

2. Objective… VA SOL A.2 - The student will represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables. Students will choose an appropriate computational technique, such as mental mathematics, calculator, or paper and pencil.

3. Some key words to remember… + Sum More Plus Add Increased – Difference Less Minus Subtract Decreased · Product Multiply Times ÷ Quotient Divide

4. Some special cases… WordTranslates to: TwiceTwo times SquaredTo the second power CubedTo the third power HalfDivided by two QuarterDivided by four

5. Instructions… Select the algebraic expression which best represents the given verbal expression.

6. Five multiplied by the sum of three and a number. A. 5 · 3 + x B. 3 + x · 5 C. (3 + x) 5 D. 5(3 + x)

7. Twice the difference of two and a number x. A. (2 – x) 2 B. 2(2 – x) C. (2 – x)(2 – x) D. (2 – x)/2

8. Five less than the product of a number and six. A. 6x - 5 B. 6(x – 5) C. (x + 6) – 5 D. (6 ÷ x) – 5

9. The sum of four and a cubed number x. A. (4 + x) 3 B. 4 + 3x C. 4 + x 3 D. 4 3 + x

10. A number increased by twelve. A. 12x B. x 12 C. x + 12 D. x + 12x

11. Four divided by the product of six and a number x. A. 4(6 ÷ x) B. (4 ÷ 6)x C. (6x) ÷ 4 D. 4 ÷ (6x)

12. Ten more than twice a number x. A. 2(x +10) B. (x + 10) 2 C. 2x + 10 D. (x + 10) ÷ 2

13. Half the sum of a number cubed and five. A. (x 3 + 5) ÷ 2 B. X 3 + 5 ÷ 2 C. (x 3 ÷ 2) + 5 D. (3x + 5) ÷ 2

14. Six less than a number x. A. 6 – x B. x – 6 C. 6 ÷ x D. x ÷ 6

15. The product of two and a number x decreased by four. A. 2(4 – x) B. (2 – 4)x C. 2(x – 4) D. 2x – 4