Rational Numbers

Distributive Property

100

4(x+3)

What is 4x + 12

200

6(2w+4)

What is 12w + 24

300

5(2k - 3)

What is 10k - 15

400

-7(z + 2)

What is -7z + (-14) or -7z - 14

500

-2(x - 3)

What is -2x + 6 remember - - turns into +

Simplify Expressions

100

2x + 3y -2 -6x +7

-4x + 3y +5

200

Simplify: (y-3)-(-3y+4)

4y-7

300

Simplify: (y+7) - (-4y+8)

5y-1

400

Simplify: -8y-16(3/8y-1)

-14y+16

500

Simplify: 10(4/5x+3)-2x

-10x+30

Operations

100

2.6 + (-3.7-(-1.5))

0.4

200

(-6) x 5 / 8 x (-1/3)

1/24

300

3 x (-4) +(-1.3)

-13.3

400

Solve: 5.5 x (6.8-81.6)

-411.4 

500

Solve: 4 x (-6) / 7 x (1/3)

-1 1/7

Word Problems

100

Leon orders sheets of metal for an art class he teaches. He needs 12 sheets for his Tuesday night class and 8 sheets for his Thursday night class. There is also a $7.95 delivery fee. Write an expression that represent the total cost of Leon’s order, if x is the cost of one sheet.

12x+8x+7.95

200

A square has a perimeter represented by the expression 8.8s - 20. Write an expression to represent the length of one side of the square.

2.2s-5

300

This morning, the temperature was 13 1/2 °F. During the day, the temperature increased by 5.6 °F. At night, the temperature decreased by 23.8 °F. What was the temperature after it decreased?

-4.7 degrees

400

While Jackie was in Hawaii, she dove for shells. One afternoon she dove 7.8 feet. Her next two dives were each 2 1/8 feet deeper than the dive before it. What were the elevations relative to sea level of her second and third dives?

-9.925 ft. and -12.05 ft. 

500

A new mobile device has a value of $256.25. Its value changes by -$57.65 each year for the next two years. What is the value of the phone after two years?

$140.95