Grade 6 Math Practice Test: Writing and Reading Algebraic Expressions
- Writing and Reading Algebraic Expressions
- 10 questions
- 12 minutes
This test practices writing expressions with variables from words and real situations, and using words like term, coefficient and constant. Tip: "less than" and "fewer than" reverse the order: "6 fewer than x" is x − 6.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
Which expression means "the sum of 8 and a number n"?
Correct answer: D
"Sum" means addition, so the expression is 8 + n. 8n means 8 times n, which is a product.
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Question 2
Which expression means "6 fewer than twice a number x"?
Correct answer: D
Twice x is 2x, and 6 fewer than that is 2x − 6. 6 − 2x reverses the order of the subtraction.
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Question 3
Which expression means "the quotient of y and 4"?
Correct answer: C
"The quotient of y and 4" divides y by 4, in that order: y ÷ 4. 4 ÷ y divides in the opposite order.
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Question 4
In the expression 5a + 3b + 7, what is the coefficient of b?
Correct answer: A
The coefficient is the number multiplied by the variable, and 3 is multiplied by b. 7 is the constant term.
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Question 5
How many terms does the expression 4x + 9 − 2y have?
Correct answer: A
Terms are the parts separated by + or − signs: 4x, 9 and 2y. That is 3 terms.
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Question 6
What is the constant term in the expression 7m + 12?
Correct answer: B
A constant term has no variable, so it is 12. 7 is the coefficient of m.
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Question 7
Which phrase describes the expression 3(n + 5)?
Correct answer: D
The parentheses group n + 5 first, and then that sum is multiplied by 3. "The sum of 3 times n and 5" would be 3n + 5.
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Question 8
Movie tickets cost $9 each, and one bag of popcorn costs $6. Which expression gives the total cost, in dollars, of t tickets and one bag of popcorn?
Correct answer: C
t tickets cost 9t dollars, and the popcorn adds $6 once: 9t + 6. 15t would charge for popcorn with every ticket.
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Question 9
Ana has d dollars. She gives $4 to her brother and then spends half of the money she has left. Which expression shows the amount she spends?
Correct answer: A
She has d − 4 left, and half of that is (d − 4) ÷ 2. Without parentheses, d − 4 ÷ 2 would divide only the 4 by 2.
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Question 10
The perimeter of a square with side length s is 4s. What is the perimeter when s = 2.5 cm?
Correct answer: B
4s means 4 × s, so 4 × 2.5 = 10 cm. 6.5 adds 4 and 2.5, and 42.5 reads 4s as the digits 4 and 2.5 side by side.
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