Basic Algebra Review

Solving One-Step and Two-Step Equations

100

Solve. Show work.

x + 2 = 20

x = 18

200

Solve. Show work.

-4 + x = 32

x = 36

300

Solve. Show work. 

5x = 45

x = 9

400

Solve. Show work.

x / 4 = 10

x = 40

500

3x + 2 = 53

x = 17

Solving Multi-Step Equations

100

Solve. Show work.

2(x+4) = 28

x = 10

200

60 = 4(2x - 1)

x = 8

300

Solve. Show work.

5x + 8 - 3x = x -15

x = -23

400

Solve. Show work.

3(x - 1) + 4(x - 2) = x - 15

x = 14

500

Solve. Show work.

5(2x - 3) = 7x + 3x - 15

No Solution

Build the Function Table

100

Without a calculator, create a table of values from x = 0 - 4 for the following function:

f(x) = x + 5

x  y

0  5

1  6

2  7

3  8

4  9

200

Without a calculator create a table of values from x = 0-4 for the following function:

f(x) = 2x - 4

x   y

0   -4

1   -2

2   0

3   2

4   4

300

Using a graphing calculator, create a table of values for x = 0-4 the following function:

f(x) = 10 - 5x

x   y

0   10

1   5

2   0

3   -5

4   -10

400

Using a graphing calculator, create a table of values for x = 0-4 the following function:

f(x) = 2(x + 4)²

x    y

0    32

1    50

2    72

3    98

4    128

500

Using a graphing calculator, create a table of values for x = 0-4 the following function:

f(x) = (x + 2)³ + 10

x    y

0    18

1    37

2    74

3    135

4    226

Evaluate the Function

100

Evaluate the function for f(5). Show your work.

f(x) = 2x - 12

f(x) = - 2

200

Evaluate the function for f(-2). Show your work.

f(x) = x² - 15

f(x) = -11

300

Evaluate the function for f(4). Show your work.

f(x) = x² - 5x + 7x - x 

f(x) = 20

400

Evaluate the function for f(-1). Show your work.

f(x) = x³ - x + 2

x = 2

500

Evaluate the function for f(-6). Show your work.

f(x) = x⁴ - x³ - x -6

x = 1512

Simplify the Expression

100

Simplify.

5x - 8x

-3x

200

4x - 2 + 5x - 4

9x - 6

300

Simplify.

2x² - 4x² + 3x - 5 + 2x

-2x² + 5x - 5

400

4xy - 2x² - 7yx - 3xy - 8x²

-6xy - 10x²

500

4xyz - 2yxz - 10xzy + 8xyz

0