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Expressions and Equations Practice Questions

Common Core (US) · Common Core Math Grade 7 · 137 free MCQs with instant results and detailed explanations.

137
Total
36
Easy
79
Medium
22
Hard

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Sample Questions from Expressions and Equations

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Q1
Easy
Which expression represents the total cost of buying x apples at $2 each and y oranges at $3 each?
A. 2x + 3y
B. 3x + 2y
C. 5xy
D. x + y
Show Answer & Explanation
Correct Answer: A
The total cost combines the cost of apples and oranges. Apples cost $2 each, so it's 2x, and oranges cost $3 each, giving 3y. Therefore, the expression is 2x + 3y.
Q2
Easy
What is the value of the expression 3x + 5 when x = 2?
A. 11
B. 10
C. 6
D. 7
Show Answer & Explanation
Correct Answer: A
Substituting x with 2 gives 3(2) + 5 = 6 + 5 = 11.
Q3
Easy
Which of the following represents the expression 'the product of 4 and a number n decreased by 6'?
A. 4n - 6
B. 4n + 6
C. 6 - 4n
D. n - 4 + 6
Show Answer & Explanation
Correct Answer: A
The phrase 'the product of 4 and a number n' translates to 4n, and 'decreased by 6' means we subtract 6, resulting in 4n - 6.
Q4
Medium
What is the value of 3x + 5 when x = 4?
A. 17
B. 20
C. 12
D. 15
Show Answer & Explanation
Correct Answer: A
Substituting x = 4 into the expression: 3(4) + 5 = 12 + 5 = 17.
Q5
Medium
If 2(y - 3) + 4 = 10, what is the value of y?
A. 8
B. 7
C. 6
D. 5
Show Answer & Explanation
Correct Answer: B
Solving the equation: 2(y - 3) = 6 implies y - 3 = 3, thus y = 6 + 3 = 7.
Q6
Medium
If 5x + 3 = 23, what is the value of x?
A. 2
B. 4
C. 5
D. 6
Show Answer & Explanation
Correct Answer: B
To find x, first subtract 3 from both sides to get 5x = 20, then divide both sides by 5 to get x = 4.
Q7
Medium
Which of the following expressions is equivalent to 4(2 + x) - 6?
A. 8 + 4x
B. 4x - 2
C. 8 - 4x
D. 10 - 4x
Show Answer & Explanation
Correct Answer: B
Distributing 4 gives 8 + 4x. Then subtracting 6 results in 4x + 2, which simplifies to 4x - 2.
Q8
Hard
A number is decreased by 12 and then multiplied by 4 to give 20. What is the number?
A. 8
B. 14
C. 7
D. 11
Show Answer & Explanation
Correct Answer: B
Let the number be n. The equation is 4(n - 12) = 20. Solving this gives n = 14. Therefore, the correct answer is option B.
Q9
Hard
If 3x + 4 = 19, what is the value of x?
A. 3
B. 5
C. 7
D. 9
Show Answer & Explanation
Correct Answer: B
To find the value of x, first subtract 4 from both sides to get 3x = 15, then divide by 3 to find x = 5.
Q10
Hard
A rectangle has a length that is twice its width. If the perimeter of the rectangle is 48 cm, what is the width?
A. 8 cm
B. 12 cm
C. 10 cm
D. 6 cm
Show Answer & Explanation
Correct Answer: A
Let the width be w, then the length is 2w. The perimeter P of a rectangle is given by P = 2(length + width). Therefore, 48 = 2(2w + w). Simplifying gives 48 = 6w, leading to w = 8 cm. Hence, the correct option is A.

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More Common Core Math Grade 7 Chapters

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Expressions and Equations — Common Core (US) Common Core Math Grade 7 Practice Questions Online

This page contains 137 practice MCQs for the chapter Expressions and Equations in Common Core (US) Common Core Math Grade 7. The questions are organized by difficulty — 36 easy, 79 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.