GED Math

Polynomials

100

Simplify.

(3x² + 2x) + (5x² - x)

8x² + x

200

Multiply: (x + 4)(x - 2)

x² + 2x - 8

300

Factor: (x² - 16)

(x - 4)(x + 4)

400

What is the degree of the polynomial 7x⁵ - 2x³ + 9?

5

500

Factor completely: (2x² + 7x + 3)

(2x + 1)(x + 3)

Algebra

100

x + 9 = 15

x = 6

200

3x = 27

x = 9

300

2x - 7 = 15

x = 11

400

Solve the system:

x + y = 10

x - y = 2

x = 6; y = 4

500

A number is multiplied by 5 and then decreased by 12 to get 28. What is the number?

8

Equations of Lines

100

What is the slope of a line passing through (2,3) and (6,11)?

2

200

Write the equation of a line with slope 3 and y-intercept -4.

y = 3x - 4

300

What is the slope of the line 2x + 5y = 10?

-²/₅

400

Find the equation of the line through (1,2 and (4, 8).

y = 2x

500

Are the lines y = 4x + 1 and y = -1/4x + 7 parallel, perpendicular, or neither?

What is perpendicular?

Geometry

100

What is the formula for the area of a triangle?

A = 1/2(b)(h)

200

A circle has a radius of 6. What is its circumference? Express in terms of pi.

What is 12pi?

300

A rectangular prism has length 4, width 3, and height 5. What is its volume?

60 cubic units

400

A right triangle has legs of 8 and 15. What is the hypotenuse?

What is 17?

500

The area of a circle is 49pi. What is the radius?

7