Equivalent Expressions
Which expression is equivalent to 4(x+6) ?
A. 4x+6
B. x+24
C. 4x+24
D. 24x
C. 4x+24
Which property allows you to rewrite x + 7 = 7 + x?
A. Associative
B. Identity
C. Commutative
D. Distributive
C. Commutative
Simplify: 6x + 3x
A. 18x
B. 9x
C. 6x
D. 3x
B. 9x
Which expression represents “five more than a number n”?
A. 5n
B. n−5
C. n+5
D. 5+1n
C. n+5
Evaluate x+6 when x=4.
A. 20
B. 14
C. 10
D. 6
C. 10
Which expression is equivalent to 10x+50?
A. 10 (x + 50)
B. 10 (x + 5)
C. x + 60
D. 5 (2x + 10)
B. 10 (x + 5)
Which property is used to rewrite 4(2x + 9) as 8x + 36?
A. Commutative
B. Associative
C. Identity
D. Distributive
D. Distributive
Simplify: 1/2x + 1/2x
A. 1/2x
B. x
C. x2
D. 1/4
B. x
Which expression represents “a number r plus twice that number”?
A. 2r
B. r+2r
C. 3+r
D. 2(r+1)
B. r+2r
Evaluate 1/2x when x=10.
A. 20
B. 5
C. 10
D. 2
B. 5
Simplify:2(3n - 4) + 4n
A. 10n - 4
B. 6n - 8
C. 10n - 8
D. 12n - 8
C. 10n - 8
Which property allows you to regroup terms without changing the value?
A. Distributive
B. Identity
C. Associative
D. Commutative
C. Associative
Simplify: 4x−y−6x+3y+10x
A. 8x+y
B. 10x+2y
C. 8x+2y
D. 8xy
C. 8x+2y
Each pack has b blue pens and twice as many black pens.
Which expression represents the total?
A. 2b
B. b+b
C. b+2b
D. 2(b+b)
C. b+2b
Evaluate 2(x+3) when x=5.
A. 11
B. 16
C. 13
D. 10
B. 16
Which expression is equivalent to 3/4x + 6?
A. 3/4(x + 6)
B. 3/4(x + 8)
C. 9/4(x + 2)
D. 3(x + 2)
B. 3/4(x + 8)
Which property is shown in
1/2(x + 10) = 1/2x + 5?
A. Associative
B. Commutative
C. Identity
D. Distributive
D. Distributive
Which pair are like terms?
A. 5x and 3y
B. x and x2
C. 5x and −2x
D. 2y and 2x
C. 5x and −2x
An item costs CC dollars and is discounted 25%.
Which expression shows the sale price?
A. C+0.25
B. 1.25C
C. C−0.25
D. (1−0.25)C
D. (1−0.25)C
Why should parentheses be used when substituting values?
A. To change the value
B. To add terms
C. To follow order of operations
D. To simplify faster
C. To follow order of operations
A student rewrites 6(2x + 5) as 12x + 5.
What is the correct expression?
A. 12x + 5
B. 6x + 30
C. 12x + 25
D. 12x + 30
D. 12x + 30
Why is the distributive property important?
A. It changes the value of the expression
B. It lets you add variables
C. It ensures every term inside parentheses is multiplied
D. It simplifies constants only
C. It ensures every term inside parentheses is multiplied
A student simplifies 2/3x + 1/3y as x + y.
What mistake was made?
A. Coefficients were added incorrectly
B. Unlike terms were combined
C. Fractions were not simplified
D. Variables were multiplied
B. Unlike terms were combined
Why does (1−0.25)C represent a discount?
A. It adds tax
B. It reduces the original price
C. It increases the value
D. It simplifies the expression
B. It reduces the original price
What is the difference between simplifying and evaluating?
A. They are the same
B. Evaluating rewrites the expression
C. Evaluating substitutes a value; simplifying rewrites the expression
D. Simplifying gives a number
C. Evaluating substitutes a value; simplifying rewrites the expression