8th Grade Math Review

Linear Equations

100

Solve:
2x + 5 = 15

x = 5

200

Solve:
3x − 7 = 11

x = 6

300

Solve:

4(x − 2) = 20

x = 7

400

Solve:
5x + 3 = 2x + 18

Answer: x = 5

500

A line has slope 3 and passes through (2, 4). Find the equation.

y = 3x − 2

Functions

100

Is this a function?
(1,2), (2,3), (3,4)

Yes

200

Find f(3) if f(x) = 2x + 1

7

300

Is this a function?
(1,2), (1,5), (2,3)

No

400

Find the slope between (2,3) and (6,11)

2

500

Write a function rule for:
Input: 1,2,3 → Output: 4,7,10

f(x) = 3x + 1

Pythagorean Theorem

100

Find the hypotenuse: legs 3 and 4

5

200

Find the hypotenuse: legs 5 and 12

13

300

Find the missing leg: hypotenuse 10, one leg 6

8

400

A ladder leans against a wall. The base is 9 ft from the wall and the ladder is 15 ft long. How high does it reach?

12 ft

500

Find the distance between (1,2) and (7,10)

√(36 + 64) = √100 = 10

Exponents & Scientific Notation

100

Simplify:
2³

8

200

Simplify:
5² × 5³

5⁵ = 3125

300

Simplify:
(3²)³

3⁶ = 729

400

Write in scientific notation:
450,000

4.5 × 10⁵

500

Simplify:
(2 × 10³)(3 × 10⁴)

6 × 10⁷

Systems of Equations

100

Solve:
y = x + 2
y = x + 2

Infinite solutions

200

Solve:
y = x + 1
y = x − 3

No solution

300

Solve:
y = x + 2
y = 2x − 1

(3, 5)

400

Solve:
x + y = 10
x − y = 2

(6, 4)

500

Solve:
2x + y = 7
x + y = 5

(2, 3)