One and Two Step Equations Quiz
Questions: 16 · 10 minutes
1. A rectangle is 3 units wide and has a perimeter of 20 units. Its length L satisfies 2L + 6 = 20. What is the rectangle's length?
5 units
13 units
10 units
7 units
2. Maya began with m dollars, spent $8, and had $17 remaining. Which equation correctly models her starting amount?
Subtracting 8 from 17 gives m
Adding 8 to m gives 17
Subtracting m from 8 gives 17
Subtracting 8 from m gives 17
3. After solving x - 5 = -2, what value should x have?
x equals negative 7
x equals negative 4
x equals 6
x equals 3
4. One equation is x/5 + 2 = 6, and another is 3y = 12. After both are solved, how do x and y compare?
The two solutions are equal
The value of y is 16 greater than x
The value of x is 16 greater than y
The value of x is 4 greater than y
5. Which value balances the equation 3x = 24?
x equals 8
x equals 21
x equals 27
x equals 72
6. What value of x makes x + 7 = 19 true?
x equals negative 10
x equals 26
x equals 11
x equals 12
7. A student solves 2(x + 3) = 14 by dividing both sides by 2. Which next step and result are correct?
Add 3, producing x = 10
Subtract 3, producing x = 4
Divide by 3, producing x = 7/3
Subtract 2, producing x = 5
8. Sam solves x/3 - 4 = 2 by adding 4 to both sides and then multiplying by 3. What result should Sam obtain?
x equals 18
x equals negative 6
x equals 9
x equals 2
9. What is the most efficient first step for solving (x - 5)/3 = 4?
Subtract 5 from both sides
Multiply both sides by 3
Add 3 to both sides
Divide both sides by 3
10. Which equation is true when x = -2?
2x + 1 = -2
x - 4 = 2
3x + 4 = -2
5 - x = 3
11. A student needs to isolate x in 4x - 7 = 13. Which sequence uses inverse operations correctly?
Subtract 7 from both sides, then divide by 4
Divide both sides by 4, then add 7 to both sides
Add 7 to both sides, then divide by 4
Add 4 to both sides, then divide by 7
12. For the equation 7 - 2x = -9, which proposed value makes both sides equal?
x equals 8
x equals 1
x equals 7
x equals negative 6
13. A number divided by 4 is 6. What is the number?
2
10
24
1.5
14. Which solution satisfies 2x + 3 = 17?
x equals 10
x equals 7
x equals 5
x equals 28
15. A bike rental costs a $5 starting fee plus $3 per hour. The total charge is $23. How long was the bike rented?
6 hours
9 hours
7 hours
4 hours
16. To solve -3x + 5 = 20, a student first subtracts 5 from both sides. What is the final solution after dividing by -3?
x equals 4
x equals negative 5
x equals negative 8
x equals 25 divided by 3