Quiz: Variables and Algebraic Expressions

1. What are variables used for?
a. to represent a person, place, or thing
b. to represent a numerical value
c. either A or B

Use the letter x as the variable for questions 2 through 8.

2. Give the algebraic expression for the product of a number and 4 more than the number.
a. x( x + 4)
b. x – ( x + 4)
c. x + x + 4
3. Give the algebraic expression for the result of 12 minus a number, divided by 3.
a. equation
b. equation
c. equation
4. Which of the following expressions represents the statement “a number x increased by the product of 3 and x”?
a. equation
b. x + 3x
c. x + 3 + x
5. Which of the following expressions represents the statement “12 less than the sum of x and 2”?
a. 12 – ( x + 2)
b. 12 – x + 2
c. ( x + 2) – 12
6. Which of the following expressions represents the statement “twice the sum of x and 3”?
a. 2 x + 3
b. 2( x + 3)
c. ( x + 3)2
7. The expression equation is best represented by which statement?
a. the sum of 5 times a number and 2, divided by 3
b. the product of 5 and a number increased by 2, divided by 3
c. 2 more than 5 times a number divided by 3
8. The expression equation is best represented by which statement?
a. One-third the difference of 5 and x.
b. The product of 5 and x divided by equation
c. The product of 5 and x divided by 3.
9. Evaluate (–4 a2) for a = –3.
a. 144
b. –144
c. –36
10. Evaluate 6 x2 y for x = 5 and y = 2.
a. 60
b. 300
c. 1800
11. Evaluate xy – z if x = –3, y = 4, and z = 5
a. –17
b. –5
c. 7
12. Evaluate 2 x2 – 3 y – z if x = –2, y = –3, and z = –1.
a. 18
b. 16
c. 2
13. Evaluate a(4 – b) if a = 2 and equation.
a. 1
b. 7
c. 9
14. If x = 3 and y = 4, then equation
a. 1
b. –1
c. –7
15. If x = 16 and y = 9, then equation
a. 30
b. 20
c. 12
16. What value of x makes equation?
a. 0
b. 24
c. 36
17. Evaluate equation if x = –2 and y = 3.
a. –5
b. equation
c. equation
18. Which expression does NOT have the value 1 when x = 2, y = 3, and z = –4?
a. equation
b. equation
c. equation
19. If g = –3, then which expression has a value of 12?
a. 7 g(–1 – 3 g)
b. 7 g(–1) – 3 g
c. 7 g(–1) + 3 g

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