Equations Quiz
Questions: 16 · 10 minutes
1. Solve −2(3x − 1) = 14.
x = −8/3
x = 8
x = −2
x = 4/3
2. The area of a triangle is given by A = ½bh. Which expression correctly solves the equation for h when b is not zero?
h = A/(2b)
h = 2A/b
h = Ab/2
h = 2b/A
3. A rectangle has a perimeter of 34 units. Its length is 3 units greater than its width. What is the width?
5 units
7 units
6 units
8 units
4. A studio charges a $12 registration fee plus $5 per class. Which equation represents taking c classes for a total cost of $47?
12c + 5 = 47
5(c + 12) = 47
12(c + 5) = 47
12 + 5c = 47
5. A group buys 10 movie tickets for $104. Adult tickets cost $12 and child tickets cost $8. How many adult tickets were purchased?
4
10
8
6
6. Solve √(x + 1) = x − 1, checking any values created by squaring.
x = 3 only
x = 0 or x = 3
x = 1 only
x = 0 only
7. Solve 3x + 5 = 20.
x = 25/3
x = 15
x = 5
x = 3
8. Sam claims that x = 3 is a solution of 4x − 7 = 5. Which evaluation is correct?
Sam is incorrect because 4(3) − 7 equals 19.
Sam is correct because 4(3) − 7 equals 5.
Sam is incorrect because the equation gives x = −3.
Sam is correct because 4 + 3 − 7 equals 0.
9. Solve x/3 − 2 = 4.
x = 12
x = 6
x = 2
x = 18
10. How many solutions does 5(x + 2) = 5x + 10 have?
Infinitely many solutions
No solutions
Exactly one: x = 0
Exactly one: x = 2
11. Which ordered pair satisfies the equation y = 2x − 1?
(0, 1)
(1, 0)
(3, 5)
(4, 9)
12. Three consecutive integers have a sum of 51. What is the largest integer?
16
18
17
19
13. The equations x + y = 10 and x − y = 4 form a system. What is its solution?
x = 7, y = 3
x = 6, y = 4
x = 3, y = 7
x = 5, y = 5
14. For which value of k does 2(x − 4) = 2x + k have infinitely many solutions?
k = −8
k = 4
k = −2
k = 16
15. A number decreased by 6 equals one-third of the original number. What is the number?
6
12
9
18
16. After dividing both sides of 2(x − 3) = 10 by 2, which equivalent equation results?
x − 3 = 8
x − 6 = 5
2x − 3 = 5
x − 3 = 5