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Expressions and Equations Practice Questions

Common Core (US) · Common Core Algebra 1 · 133 free MCQs with instant results and detailed explanations.

133
Total
38
Easy
73
Medium
22
Hard

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Sample Questions from Expressions and Equations

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Q1
Easy
If 3(2x - 4) = 12, what is the value of x?
A. 2
B. 4
C. 6
D. 1
Show Answer & Explanation
Correct Answer: B
First, divide both sides by 3 to get 2x - 4 = 4, then add 4 to both sides for 2x = 8, and finally divide by 2 to find x = 4.
Q2
Easy
What is the simplified form of the expression 4(a + 2) - 3a?
A. a + 8
B. a + 2
C. 8 - 3a
D. 8 - 4a
Show Answer & Explanation
Correct Answer: D
Distribute 4 into (a + 2) to get 4a + 8, then subtract 3a to obtain 8 - 4a.
Q3
Easy
If 2y - 3 = 7, what is the value of y?
A. 5
B. 3
C. 10
D. 8
Show Answer & Explanation
Correct Answer: A
Adding 3 to both sides gives 2y = 10. Dividing both sides by 2 results in y = 5.
Q4
Medium
Which expression is equivalent to 2(3x + 4) - 5?
A. 6x + 8 - 5
B. 6x + 3
C. 6x + 2
D. 6x + 5
Show Answer & Explanation
Correct Answer: B
Distributing 2 gives: 6x + 8 - 5. Combining the constants results in 6x + 3, which matches option B.
Q5
Medium
If 3x - 5 = 16, what is x?
A. 7
B. 5
C. 3
D. 8
Show Answer & Explanation
Correct Answer: A
To isolate x, add 5 to both sides (3x = 21), then divide by 3, resulting in x = 7.
Q6
Medium
Which of the following is a solution to the inequality 2x + 3 < 11?
A. x = 4
B. x = 5
C. x = 3
D. x = 6
Show Answer & Explanation
Correct Answer: C
To solve the inequality, subtract 3 from both sides: 2x < 8. Then divide by 2, giving x < 4. Hence, x = 3 is valid.
Q7
Medium
Which expression represents the perimeter of a rectangle with length l and width w?
A. 2l + 2w
B. lw
C. l + w
D. 2(l + w)
Show Answer & Explanation
Correct Answer: D
The perimeter of a rectangle is calculated by adding the lengths of all sides, which is 2(l + w).
Q8
Hard
If 5x - 3 = 2x + 12, what is the value of x?
A. 5
B. 3
C. -5
D. -3
Show Answer & Explanation
Correct Answer: A
To solve for x, we first simplify the equation by moving all x terms to one side and constant terms to the other. Rearranging gives us 5x - 2x = 12 + 3, which simplifies to 3x = 15. Dividing both sides by 3 results in x = 5, which is the correct answer.
Q9
Hard
If 3x - 5 = 2(x + 1), what is the value of x?
A. 1
B. 2
C. 3
D. 4
Show Answer & Explanation
Correct Answer: A
To solve for x, first simplify the equation: 3x - 5 = 2x + 2. Then, subtract 2x from both sides: 3x - 2x = 2 + 5, resulting in x = 7. Thus, x = 1 is the correct answer.
Q10
Hard
If 3x - 5 = 16, what is the value of x?
A. 7
B. 8
C. 9
D. 11
Show Answer & Explanation
Correct Answer: A
To solve for x, first add 5 to both sides of the equation: 3x = 16 + 5, which simplifies to 3x = 21. Next, divide both sides by 3 to isolate x: x = 21 / 3, therefore x = 7.

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More Common Core Algebra 1 Chapters

1 Relationships Between Quantities
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2 Linear Relationships
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4 Descriptive Statistics
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Expressions and Equations — Common Core (US) Common Core Algebra 1 Practice Questions Online

This page contains 133 practice MCQs for the chapter Expressions and Equations in Common Core (US) Common Core Algebra 1. The questions are organized by difficulty — 38 easy, 73 medium, 22 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.