Expressions Quiz Review

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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.

(10 x 14.99) + 4.99x

Distribute: 5 (-10x + 30)

- 50x + 150

Distribute: - 2 (3x + 4.5)

- 6x + - 9

Factor using GCF: - 12 - 24x - 18y

-3 (4 + 8x + 6y)

Factor using GCF: - 24 - 8x - 12y

-4 (6 + 2x + 3y)

Factor using GCF: -15 - 35x - 25y

-5 (3 + 7x + 5y)

Factor using GCF: - 35 - 15x

-5 (7 + 3x)

Combine like terms: m - 10 + 20 - 7.5m

-6.5m + 10

Factor using GCF: - 18 - 81x - 27y

-9 (2 + 9x + 3y)

The sum of ten and a number.

10 + n

The quotient of 10 and the sum of a number and 3.

10 ÷ ( n + 3 )

Write an equivalent expression by factoring. 30xy + 20x

10x(3y + 2)

Combine like terms: -7 (2g - 9) + 15g + 10g - 13

11g + 50

Write an equivalent expression by factoring. 12x + 12y

12(x + y)

Write an equivalent expression using the distributive property. 2x(6y - 4)

12xy - 8x

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?

14.68

Write an equivalent expression by factoring. 15y - 15z

15(y - z)

Write an equivalent expression using the distributive property. 5x(3x - 4)

15x² - 20x

Write an equivalent expression by factoring. 6a + 8b

2(3a + 4b)

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.

20 - 2x

Twenty less the product of 4 and a number.

20 - 4n

Combine like terms: -9g + 7 + 4g + 32g - 14

27g + - 7

Write an equivalent expression using the distributive property. 4(7 - 5)

28 - 20

Write an equivalent expression by factoring. 10n³ + 2n

2n(5n² + 1)

The product of 3 and the sum of three times a number and five.

3 ( 3n + 5 )

Write an equivalent expression by factoring. 21x - 15

3(7x - 5)

Combine like terms: 10g - 14 + 24g + (-23)

34g - 37

Write an equivalent expression by factoring. 9xy - 15xz

3x(3y - 5z)

Four times the sum of two times a number and three.

4 ( 2n + 3 )

The product of 4 and the sum of a number and 3.

4 ( n + 3 )

Three more than the quotient of four and a number.

4 ÷ n + 3

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.

45 + 3.5x

Write an equivalent expression by factoring. 16xy - 20x

4x(4y - 5)

Factor using GCF: 25x + 10

5 (5x + 2)

Write an equivalent expression using the distributive property. 10(5a + 2b)

50a + 20b

Twenty more than then the product of 5 and a number.

5n + 20

Write an equivalent expression by factoring. 40x² - 25x

5x(8x - 5)

Write an equivalent expression by factoring. 5x² - 50x

5x(x - 10)

Write an equivalent expression by factoring. 12ab + 30b

6b(2a + 5)

The sum of the product of 6 and a number and seven of the same number.

6n + 7n

Factor using GCF: 21x + 7

7 (3x + 1)

Write an equivalent expression by factoring. 14ab + 7b

7b(2a + 1)

Write an equivalent expression by factoring. 24rs + 80s

8s(3r + 10)

Write an equivalent expression by factoring. 24x² - 16x

8x(3x - 2)

Write an equivalent expression by factoring. 27x² + 63

9x (3x + 7)

The quotient of a number and the difference of 3 and 5.

n ÷ (3 - 5)

Ten more than the quotient of a number and three.

n ÷ 3 + 10

Five less than the quotient of a number and 3.

n ÷ 3 - 5

Write an equivalent expression by factoring. 17xy -23x

x(17y - 23)


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