ACT Algebra Review 1

Combining Units

100

Solve: 5x-3x+8=22

x = 7

200

Solve: 3x + 4 = 7

x = 1

300

If a rectangle has sides of length 3x and x-1, then solve for x if the perimeter of the rectangle is 94.

x = 12

400

Solve: 6x-4(9-x)=71

x = 10.7

500

Solve: 1/3(27-18x) = 12 + 6(4-2x)

x = 9/2 or 4 1/2

Functions

100

Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)} 

No

200

Algebra: simplify: 3(6wd - 3) + wd3 

Algebra: 21wd - 9 

300

Algebra: Solve for a: ax + b = c 

Algebra: a = (c - b)/x 

400

f(x)=2x+3 and g(x) = 1/2(x-2) 

Find g(f(2))

5/2

500

f(x)=x+1 and g(x)= 2/(x+1)

Find g(f(x))

2/(x+2)

Simplifying

100

What property is shown:

(a*b)*c = a(b*c)

Associative Property of Multiplication

200

Solve the system:  4x + 2y = 8 and 3x + 3y = 9

(1, 2)

300

12(-x+2) = 6

x=3/2

400

Simplify: -(x + 7) -2(4x + y)

-9x -7 -2y

500

Simplify: 1/4(-4 + 16x) - 2/5(20x - 15)

5 - 4x

Black Mathematicians

100

Who was a self-educated man in mathematics and astronomy who invited America's first clock?

Benjamin Banneker

200

This "Hidden Figure" worked with NASA for 35 years and was a master of complex manual calculations. She was a super-computer who helped put John Glenn on the moon.

Katherine Johnson

300

He worked for NASA before inventing the Super Soaker.

Lonnie Johnson

400

First African American woman to earn a Ph.D. in mathematicians

Euphemia Lofton Haynes

500

Mathematician, engineer, physician, and astronaut who was the first African American woman to visit space. 

Mae Carol Jemison