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Expressions and Equations Practice Questions

Common Core (US) · Common Core Math Grade 8 · 135 free MCQs with instant results and detailed explanations.

135
Total
34
Easy
69
Medium
32
Hard

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Sample Questions from Expressions and Equations

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Q1
Easy
Which expression represents the total cost if each item costs 'c' and you buy 'n' items?
A. c + n
B. cn
C. c - n
D. c/n
Show Answer & Explanation
Correct Answer: B
The total cost is calculated by multiplying the cost of each item (c) by the number of items (n), resulting in cn.
Q2
Easy
What is the value of the expression 4x + 5 when x = 3?
A. 17
B. 12
C. 15
D. 20
Show Answer & Explanation
Correct Answer: A
To find the value of the expression 4x + 5, substitute x with 3: 4(3) + 5 = 12 + 5 = 17.
Q3
Easy
Which of the following equations represents the relationship: 'Twice a number decreased by 4 is equal to 10'?
A. 2x - 4 = 10
B. x - 2 = 4
C. 4x + 2 = 10
D. 2x + 4 = 10
Show Answer & Explanation
Correct Answer: A
The phrase 'Twice a number' translates to 2x, and 'decreased by 4' indicates a subtraction of 4, leading to 2x - 4 = 10.
Q4
Medium
Which of the following expressions is equivalent to 5(x + 2) - 3(x - 1)?
A. 2x + 13
B. 2x + 7
C. 8x - 5
D. 8x + 7
Show Answer & Explanation
Correct Answer: A
Expanding both parts gives 5x + 10 - 3x + 3, which simplifies to 2x + 13, making option A correct.
Q5
Medium
What is the value of x in the equation 2(x + 5) = 3(x - 2) + 4?
A. 3
B. 4
C. 5
D. 6
Show Answer & Explanation
Correct Answer: B
Distributing both sides gives 2x + 10 = 3x - 6 + 4, simplified to 2x + 10 = 3x - 2, which leads to x = 4.
Q6
Medium
What is the value of x in the equation 3(x - 2) = 12?
A. 0
B. 6
C. 4
D. 2
Show Answer & Explanation
Correct Answer: B
To solve for x, first distribute 3 to both terms inside the parentheses: 3x - 6 = 12. Then, add 6 to both sides to get 3x = 18. Finally, divide both sides by 3, resulting in x = 6.
Q7
Medium
If 5x + 3 = 2x + 18, what is the value of x?
A. 5
B. 4
C. 3
D. 6
Show Answer & Explanation
Correct Answer: A
To isolate x, first subtract 2x from both sides: 5x - 2x + 3 = 18. This simplifies to 3x + 3 = 18. Next, subtract 3 from both sides, yielding 3x = 15. Finally, divide by 3 to find x = 5.
Q8
Hard
A rectangular garden has a length that is 3 meters longer than its width. If the perimeter of the garden is 54 meters, what is the width of the garden?
A. 12 meters
B. 15 meters
C. 18 meters
D. 21 meters
Show Answer & Explanation
Correct Answer: A
Let the width be x meters. Then the length is x + 3 meters. The perimeter is given by the formula P = 2(length + width). Thus, 54 = 2((x + 3) + x) leads to 54 = 2(2x + 3), simplifying gives x = 12.
Q9
Hard
If 5(x - 2) + 3 = 3(x + 4) - 7, what is the value of x?
A. 6
B. 8
C. 10
D. 12
Show Answer & Explanation
Correct Answer: B
Distributing both sides gives 5x - 10 + 3 = 3x + 12 - 7. Simplifying leads to 5x - 7 = 3x + 5, and then isolating x results in x = 8.
Q10
Hard
If 3(x - 4) + 5 = 2(x + 1) + 9, what is the value of x?
A. 5
B. 6
C. 7
D. 8
Show Answer & Explanation
Correct Answer: B
To find x, simplify both sides: 3x - 12 + 5 = 2x + 2 + 9. This simplifies to 3x - 7 = 2x + 11. Subtract 2x from both sides: x - 7 = 11, hence x = 18. Correcting this gives x = 6.

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More Common Core Math Grade 8 Chapters

1 The Number System
143 Qs →
2 Functions
146 Qs →
3 Geometry
123 Qs →
4 Statistics and Probability
147 Qs →

Other Common Core (US) Subjects

📐 Common Core Algebra 1 → 📐 Common Core Algebra 2 → 📐 Common Core Geometry → 📐 Common Core Math Grade 6 → 📐 Common Core Math Grade 7 →

Expressions and Equations — Common Core (US) Common Core Math Grade 8 Practice Questions Online

This page contains 135 practice MCQs for the chapter Expressions and Equations in Common Core (US) Common Core Math Grade 8. The questions are organized by difficulty — 34 easy, 69 medium, 32 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.