Pre-Algebra Final Review

Operations with Rational Numbers

100

What is −8+13?

5

200

What is −7−12?

-19

300

What is 3/4 + 1/2?

5/4 or 0.75

400

What is (-5)(-9)+3

48

500

What is (-15) divided by 3/5?

-25

Expressions, Equations, and Inequalities

100

Simplify 5x+2x

7x

200

Solve: x + 9 = 17

x = 8

300

Evaluate 4a - 3 when a=5

17

400

Solve: 3x-7=20

x = 9

500

Solve the inequality 2x + 5 < 17

x < 6

Proportion, ratios, and Rates

100

A recipe uses 2 cups of flour for 3 cups of sugar. What is the ratio of flour to sugar?

2:3

200

If notebooks cost $10, what is the unit rate?

$2 per notebook

300

Solve the proportion x/4 = 6/8

3

400

A car travels 180 miles in 3 hours. What is its average speed?

60mph

500

If 8 pencils cost $3.20, how much do 15 pencils cost?

$6.00

Pythagorean Theorem

100

In a right triangle, which side is represented by c in a² + b² = c²?

The hypotenuse (or the long side)

200

Find the hypotenuse when the legs are 3 and 4.

5

300

Find the hypotenuse when the legs are 5 and 12.

13

400

A right triangle has a hypotenuse of 10 and one leg of 6. Find the other leg.

8

500

A ladder is 15 feet long and reaches 12 feet up a wall. How far is the base of the ladder from the wall?

9 feet

Area, Perimeter, Circumference, Volume, and Surface Area

100

Find the perimeter of a rectangle with length 8 cm and width 5 cm.

26 cm

200

Find the area of a rectangle with length 12 m and width 7 m.

84m²

300

Find the circumference of a circle with radius 7 cm to the nearest cm. Use pi key or pi = 3.14

44cm

400

Find the volume of a rectangular prism with dimensions 4 m, 3 m, and 5 m.

60m³

500

Find the surface area of a cube with side length 6 cm.

216cm2