Expressions & Equations
Identify the coefficient in the expression 24y + 18.
24
A rectangle has a width of x units. The length is 8 units longer than the width. What expression represents the perimeter?
2x + 16
Which expression is equivalent to 4(x + 2y)?
4x + 8y
Evaluate 5(25 - 8w) + 20w for w = 2.
45
Which expression is equivalent to 4x + 3y + 2x - y?
6x + 2y
What can be represented by the expression x² + 8?
x squared plus 8
Which expression represents the perimeter of a triangle with side lengths 9k + 12, 8k + 13, and 3k + 11?
20k + 25
Which of the following is equivalent to 24x + 32y using the distributive property?
8(3x + 4y)
Evaluate 3a - 2b + 4 when a = 8 and b = 4.
20
Simplify: 6a - 4b + 3a + 5b.
9a + b
Which expression is equivalent to 5y + 2y + 6x + 2y - x?
5x + 9y
Mrs. Rogers plans a party at an ice rink. It costs $75 for the room plus $8.25 per person. If 9 people attend, what is the total cost?
$149.25
Factor out the greatest common factor from 12x + 18y.
6(2x + 3y)
Solve for x: 2x + 6 = 18.
x = 6
Which expression is equivalent to 2(x + 3) + 4(x - 2)?
6x - 2
Which expression below is equivalent to 3(x + 4) + 2(x - 2) and only has 2 terms?
5x + 8
Factor out the GCF for the expression 30x + 18y.
6(5x + 3y)
Which expression is equivalent to 3(2x + 4) + 5(4x - 3)?
26x - 3
What is the value of (1/2)x² - 3x + 4 when x = 4?
2
Combine like terms in 7x - 3y + 5x + 2y.
12x - y
What is the value of (1/3)x² + 2, when x = 3?
3
Translate: "The difference between 17 and twice a number x."
17 - 2x
Rewrite 6x² + 9x by factoring out the GCF.
3x(2x + 3)
If x = 5 and y = 3, find the value of 4x² - 2y + 7. (Answer: 93)
93
Simplify 8a - 3b + 5c - 4a + 2b - c.
4a - b + 4c