Equivalent Expressions: Grade 7 Math Quiz – PDF Download
Ten multiple-choice questions check your skill with equivalent expressions: combining like terms, expanding, factoring, and rewriting a price plus tax. Pick the one correct answer for each question, then read the explanation to learn from any mistake.
Grade 7Common Core: 7.EE.A.1 · 7.EE.A.2
🎯 Equivalent Expressions – Grade 7 math quiz
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Question 1
Which expression is equal to \(7x+3x-4x\)?
A\(6x\)
B\(14x\)
C\(8x\)
D\(6\)
Question 2
Which expression is equivalent to the total area of the rectangle?Rectangle for question 2.
A\(4x+5\)
B\(x+20\)
C\(4x+9\)
D\(4x+20\)
Question 3
Which expression is equivalent to \(3x-7+5x+2\)?
A\(8x+5\)
B\(8x-9\)
C\(8x-5\)
D\(-2x-5\)
Question 4
Which shows \(18x+27\) factored with the greatest common factor?
A\(3(6x+9)\)
B\(9(2x+27)\)
C\(18(x+27)\)
D\(9(2x+3)\)
Question 5
Which expression is equivalent to \(-2(x-6)\)?
A\(-2x+12\)
B\(-2x-12\)
C\(-2x+6\)
D\(2x-12\)
Question 6
Which expression equals \((6x+5)-(2x+3)\)?
A\(4x+8\)
B\(4x+2\)
C\(8x+2\)
D\(4x-2\)
Question 7
A shirt costs \(p\) dollars and sales tax is \(6\%\). Which expression gives the total cost?A shirt with 6% sales tax.
A\(0.06p\)
B\(1.06p\)
C\(p+6\)
D\(1.6p\)
Question 8
Which expression is equivalent to \(\frac{1}{2}(8x-6)+x\)?
A\(5x-6\)
B\(4x-3\)
C\(5x-3\)
D\(5x+3\)
Question 9
Which expression is NOT equivalent to \(2x+6\)?
A\(2(x+6)\)
B\(2(x+3)\)
C\(x+x+6\)
D\(6+2x\)
Question 10
Which expression gives the perimeter of the rectangle?Not drawn to scale.
A\(6x+4\)
B\(3x+4\)
C\(8x+6\)
D\(6x+8\)
🎉 Quiz complete!
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Remember:
Standards 7.EE.A.1 and 7.EE.A.2: add, subtract, factor and expand linear expressions with rational coefficients, and rewrite expressions to see meaning.
Like terms have the same variable part; combine them by adding or subtracting coefficients.
Distributive property: \(a(b+c)=ab+ac\); factoring is the same step run backward.
Subtracting a quantity changes the sign of every term inside it.
Rewriting \(p+0.05p\) as \(1.05p\) shows that a 5% increase is the same as multiplying by 1.05.