7th Grade Math Quiz with Mixed DOK Levels

MATH QUIZ: Solving Equations
Grade 7 | Standards: 7.EE.A.1, 7.EE.B.4a | Total: 100 points

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Name: _________________________ Date: _____________ Period: _____

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SECTION A: MULTIPLE CHOICE (60 points – 10 points each)

Choose the BEST answer for each question.

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1. Solve: x + 14 = 23

a) x = 37
b) x = 9
c) x = -9
d) x = 7

[DOK 1 – Recall]

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2. What is the first step to solve the equation 4x - 8 = 20?

a) Divide both sides by 4
b) Subtract 8 from both sides
c) Add 8 to both sides
d) Multiply both sides by 4

[DOK 2 – Application]

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3. Which equation represents the statement: “Three times a number decreased by 7 equals 14”?

a) 3x + 7 = 14
b) 7 - 3x = 14
c) 3x - 7 = 14
d) 3(x - 7) = 14

[DOK 2 – Application]

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4. Solve: 2x + 5 = x + 12

a) x = 17
b) x = 7
c) x = -7
d) x = 5

[DOK 2 – Application]

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5. Maria has $15 more than twice the amount of money that Jake has. If Maria has $47, which equation can be used to find how much money Jake has?

a) 15 + 2x = 47
b) 2x - 15 = 47
c) 15x + 2 = 47
d) 2(x + 15) = 47

[DOK 3 – Analysis]

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6. Solve: 5(x - 3) = 25

a) x = 8
b) x = 4
c) x = 10
d) x = 2

[DOK 3 – Analysis]

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SECTION B: SOLVE FOR X (40 points – 10 points each)

Solve each equation. SHOW ALL WORK for full credit.

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7. 6x = 54

Work:

Answer: x = __________

[DOK 1 – Recall]

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8. x - 17 = 25

Work:

Answer: x = __________

[DOK 1 – Recall]

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9. 3x + 9 = 36

Work:

Answer: x = __________

[DOK 2 – Application]

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10. 4(x + 2) = 28

Work:

Answer: x = __________

[DOK 3 – Analysis]

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ANSWER KEY

SECTION A: MULTIPLE CHOICE

Question	Answer	Explanation
1	B	Subtract 14 from both sides: 23 - 14 = 9. Common error: Adding instead of subtracting (choice A).
2	C	To isolate the variable term, first undo the subtraction by adding 8 to both sides. Students often incorrectly try to divide first (choice A) or subtract (choice B).
3	C	“Three times a number” = 3x; “decreased by 7” = - 7; “equals 14” = = 14. Common error: Confusing “decreased by” with addition (choice A) or misapplying parentheses (choice D).
4	B	Subtract x from both sides: x + 5 = 12. Then subtract 5: x = 7. Common error: Not correctly combining like terms.
5	A	“Twice the amount Jake has” = 2x; “$15 more than that” = 15 + 2x; “equals $47” = = 47. Common error: Subtracting 15 instead of adding (choice B).
6	A	Distribute: 5x - 15 = 25. Add 15: 5x = 40. Divide by 5: x = 8. Common error: Forgetting to distribute to both terms inside parentheses.

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SECTION B: SOLVE FOR X

7. x = 9

Work:

6x = 54
6x ÷ 6 = 54 ÷ 6
x = 9

Grading:

• 10 points: Correct answer with work shown
• 7 points: Correct answer, work incomplete
• 3 points: Correct process, arithmetic error
• 0 points: Incorrect or no work

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8. x = 42

Work:

x - 17 = 25
x - 17 + 17 = 25 + 17
x = 42

Grading:

• 10 points: Correct answer with work shown
• 7 points: Correct answer, work incomplete
• 3 points: Correct process, arithmetic error (e.g., x = 8 from subtracting)
• 0 points: Incorrect or no work

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9. x = 9

Work:

3x + 9 = 36
3x + 9 - 9 = 36 - 9
3x = 27
3x ÷ 3 = 27 ÷ 3
x = 9

Grading:

• 10 points: Correct answer with both steps shown
• 7 points: Correct answer, only final step shown
• 5 points: Correct first step (3x = 27), division error
• 3 points: Shows understanding but multiple errors
• 0 points: Incorrect or no work

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10. x = 5

Work:

4(x + 2) = 28
4x + 8 = 28          (distribute)
4x + 8 - 8 = 28 - 8
4x = 20
4x ÷ 4 = 20 ÷ 4
x = 5

Alternative Method:

4(x + 2) = 28
(x + 2) = 28 ÷ 4
x + 2 = 7
x = 5

Grading:

• 10 points: Correct answer with complete work (either method)
• 7 points: Correct answer, work incomplete
• 5 points: Correct distribution but arithmetic error
• 3 points: Shows understanding of distribution or inverse operations
• 0 points: Incorrect or no work

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GRADING SUMMARY

Section	Points Possible
Section A: Multiple Choice (6 questions × 10 pts)	60 points
Section B: Solve for X (4 questions × 10 pts)	40 points
TOTAL	100 points

Grade Scale:

• A: 90-100 points
• B: 80-89 points
• C: 70-79 points
• D: 60-69 points
• F: Below 60 points

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DOK DISTRIBUTION

DOK Level	Questions	Percentage
DOK 1 (Recall)	1, 7, 8	30%
DOK 2 (Application)	2, 3, 4, 9	40%
DOK 3 (Analysis)	5, 6, 10	30%

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TIME ESTIMATE: 30-35 minutes

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TEACHER NOTES

Standards Coverage:

• 7.EE.A.1: Apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients
• 7.EE.B.4a: Solve word problems leading to equations of the form px + q = r and p(x + q) = r

Common Errors to Watch:

• Performing inverse operations incorrectly (adding when should subtract)
• Forgetting to distribute to all terms inside parentheses
• Dividing before subtracting in two-step equations
• Translating word problems incorrectly (especially “more than” vs “less than”)

Partial Credit Guidelines:

• Award partial credit for correct process with arithmetic errors
• Give credit for showing understanding of inverse operations even if final answer is wrong
• On Section B, require work to be shown for full credit

Sources:

• Common Core State Standards - Grade 7 Expressions & Equations
• Fishtank Learning - 7th Grade Equations & Inequalities