Two Step Equation Quiz
Questions: 16 · 10 minutes
1. A student buys a $5 folder and several notebooks costing $2 each. The total is $17. How many notebooks did the student buy?
5 notebooks
7 notebooks
6 notebooks
11 notebooks
2. Solve 3x + 5 = 20.
x = 45
x = 15
x = 25/3
x = 5
3. Solve 4x - 7 = 21.
x = 3.5
x = 7
x = 14
x = 112
4. A student claims that x = 3 solves 5x + 2 = 17. Which calculation correctly verifies the claim?
Replace x with 3: 5 × 3 + 2 = 17
Reverse the sign: 5 × 3 - 2 = 17
Move the constant: 5 × 3 = 17 + 2
Multiply the entire sum: 3 × (5 + 2) = 17
5. What value of x makes 18 - 2x = 8 true?
Negative five
Thirteen
Five
Ten
6. A number is doubled, and then 9 is added. The result is 25. What is the number?
17
32
7
8
7. Concert tickets cost $8 each, plus a one-time $6 service fee. A purchase totals $46. How many tickets were bought?
4 tickets
5 tickets
6 tickets
7 tickets
8. To undo the +4 before isolating x in x/3 + 4 = 10, what should you do first?
Add 4 to both sides
Subtract 4 from both sides
Divide both sides by 4
Subtract 3 from both sides
9. A rectangle has width x and length x + 3. Its perimeter is 26 units. What is its width?
10 units
6.5 units
5 units
8 units
10. Which equation is produced by correctly subtracting 4 from both sides of 3x + 4 = 19?
3x - 4 = 19
x + 4 = 19
3x = 23
3x = 15
11. A student writes: 2x - 6 = 10, then 2x = 10, then x = 5. What error did the student make?
The student divided by 2 before combining like terms
The student should have subtracted 6 from both sides
The student failed to add 6 to the right side when removing -6 from the left
The student should have changed 2x to -2x
12. A taxi ride costs a $4 starting fee plus $3 per mile. The total is $19. How many miles were traveled?
7 miles
5 miles
15 miles
23 miles
13. A tank starts with 50 liters of water. Water drains at 6 liters per minute until 20 liters remain. For how many minutes did it drain?
5 minutes
8 minutes
10 minutes
3 minutes
14. Solve x/5 + 3 = 7.
x = 20
x = 10
x = 2
x = 50
15. Maya already has $12 and saves $7 each week. After how many weeks will she have $47?
5 weeks
6 weeks
7 weeks
4 weeks
16. Which equation represents the statement “seven less than four times a number is 29”?
7x - 4 = 29
4(x - 7) = 29
7 - 4x = 29
4x - 7 = 29