Expressions Quiz Review
Variable
A letter or symbol that stands for an unknown number
14.68
At the grocery store Kevin buys bread for $2.50 and Gatorade for $0.88. If Kevin purchased two loaves of bread and eleven bottles of Gatorade, how much did Kevin spend?
Associative Property
Changing the grouping of numbers will NOT change the value For example: (7 + 4) + 8 = 7 + (4 + 8) *also works with multiplication
18 + 15x
Combine Like Terms: - 2 + 5(4 + 3x)
5x + 6
Combine like terms 9 - 6 + 7x - 2x + 3
-6x + -22
Combine like terms: - 3(5 + 2x) - 7
- x - 2
Combine like terms: -(-x + 2) - 2x
3x + 11
Combine like terms: -1 + 3(x + 4)
6x + -15
Combine like terms: -2 (-3x + 4) - 7
-3 + 11x
Combine like terms: -3 (1 - 3x) + 2x
11g + 50
Combine like terms: -7 (2g - 9) + 15g + 10g - 13
27g + - 7
Combine like terms: -9g + 7 + 4g + 32g - 14
34g - 37
Combine like terms: 10g - 14 + 24g + (-23)
5x + 17
Combine like terms: 2x + 9 + 8 + 3x
12x - 7
Combine like terms: 3x - 7 + 9x
3x + 2
Combine like terms: 4x - 8 + 10 - x
14x + 7
Combine like terms: 5x + 7 + 9x
-6.5m + 10
Combine like terms: m - 10 + 20 - 7.5m
2x + 3
Combine like terms: x + 5 + x - 2
- 6x + - 9
Distribute: - 2 (3x + 4.5)
- 50x + 150
Distribute: 5 (-10x + 30)
-3 (4 + 8x + 6y)
Factor using GCF: - 12 - 24x - 18y
-9 (2 + 9x + 3y)
Factor using GCF: - 18 - 81x - 27y
-4 (6 + 2x + 3y)
Factor using GCF: - 24 - 8x - 12y
-5 (7 + 3x)
Factor using GCF: - 35 - 15x
-5 (3 + 7x + 5y)
Factor using GCF: -15 - 35x - 25y
7 (3x + 1)
Factor using GCF: 21x + 7
5 (5x + 2)
Factor using GCF: 25x + 10
n ÷ 3 - 5
Five less than the quotient of a number and 3.
4 ( 2n + 3 )
Four times the sum of two times a number and three.
45 + 3.5x
Kent spends $45 a month on a monthly pass for the train. He then spends $3.50 per metro ride from the train station to work. Write an algebraic expression to represent the total amount of money Kent spends on his commute in one month.
Terms
Part(s) of an algebraic expression of equation that are separated by operations (always include the sign in front of the term)
(10 x 14.99) + 4.99x
Sandy purchased 10 bags of mulch for her flower garden. Each bag of mulch costs $14.99. She paid $4.99 for each flower she planted. Write an algebraic expression to represent how much money Sandy spent on her flower garden.
Combining Like Terms
Simplifying an expression by collecting similar terms
24
Solve when a = 3 and b = -4 -2ab
-25
Solve when d = -9 and w = -7 5 (6d - 7w)
76
Solve when d = 9 and f = 5 9d - f
-24
Solve when g = -3 and h = -4 -2gh
-142
Solve when k = 9 and b = 5 -2 (4k + 7b)
-9
Solve when n = 6 and x = 8 3n - 4x + 5
340
Solve when s = -9 and d = -2 -5(-2d + 8s)
-48
Solve when w = -8 and x = 8 w - 5x
33
Solve when w = 5 and b = 2 3w + 9b
104
Solve when w = 7 and x = 8 7w + 8x - 9
27
Solve when x = -4 and k = 5 5x + 2 + 9k
49
Solve when x = -8 and c = 9 8 + 5x + 9c
414
Solve when x = 8 and d = 9 9 (-2d + 8x)
n ÷ 3 + 10
Ten more than the quotient of a number and three.
20 - 2x
The local carnival charges $2 per ride ticket. Josie had $14. Write an algebraic expression to represent the amount of money that she has left after rides.
3 ( 3n + 5 )
The product of 3 and the sum of three times a number and five.
4 ( n + 3 )
The product of 4 and the sum of a number and 3.
Communitive Property
The property that says that two or more numbers can be added or multiplied in any order without changing the result
10 ÷ ( n + 3 )
The quotient of 10 and the sum of a number and 3.
n ÷ (3 - 5)
The quotient of a number and the difference of 3 and 5.
10 + n
The sum of ten and a number.
6n + 7n
The sum of the product of 6 and a number and seven of the same number.
Like Terms
The terms that have the same variables (constants are also like terms)
4 ÷ n + 3
Three more than the quotient of four and a number.
20 - 4n
Twenty less the product of 4 and a number.
5n + 20
Twenty more than then the product of 5 and a number.
2x (5x + 1)
Write an equivalent expression by factoring. 10x² + 2x
12(x + y)
Write an equivalent expression by factoring. 12x + 12y
6xy (2x + 5)
Write an equivalent expression by factoring. 12xy + 30x
7x (2y + 1)
Write an equivalent expression by factoring. 14xy + 7x
15(y - z)
Write an equivalent expression by factoring. 15y - 15x
4x(4y - 5)
Write an equivalent expression by factoring. 16xy - 20x
x(17y - 23)
Write an equivalent expression by factoring. 17xy -23x
3(7x - 5)
Write an equivalent expression by factoring. 21x - 15
8x (3y + 10)
Write an equivalent expression by factoring. 24xy + 80x
8x(3x - 2)
Write an equivalent expression by factoring. 24x² - 16x
9x (3x + 7)
Write an equivalent expression by factoring. 27x² + 63
10x(3y + 2)
Write an equivalent expression by factoring. 30xy + 20x
5x(8x - 5)
Write an equivalent expression by factoring. 40x² - 25x
5x(x - 10)
Write an equivalent expression by factoring. 5x² - 50x
2(3x + 4y)
Write an equivalent expression by factoring. 6x + 8y
3x (3y - 5z)
Write an equivalent expression by factoring. 9xy - 15xz
50x + 20y
Write an equivalent expression using the distributive property. 10(5x + 2y)
12xy - 8x
Write an equivalent expression using the distributive property. 2x(6y - 4)
28x² - 20
Write an equivalent expression using the distributive property. 4x(7x - 5)
15x² - 20x
Write an equivalent expression using the distributive property. 5x(3x - 4)