Fundamentals of Algebra

Combining Like Terms

100

Simplify the expression:

9x + 3x

12x

200

Simplify the expression:

4a - 2b + 4a

8a -2b

300

Simplify the expression:

5j - 3k + j + 6k

6j + 3k

400

Simplify the expression:

x² + 7x - 4x - 13

x² + 3x - 13

500

Simplify the expression:

3(2b - 1) + b

7b - 3

Adding and Subtracting Negative Numbers

100

Evaluate:

5 + (-2)

3

200

Evaluate:

-4 - 7

-11

300

Evaluate:

24 - (-6)

30

400

Evaluate:

-8 - (-12)

4

500

Evaluate:

4 - 10 + (-3)

-9

Multiplying and Dividing By Negative Numbers

100

Evaluate:

2 x (-7)

-14

200

Evaluate:

-25 ÷ -5

5

300

Evaluate:

(-6)(-6)

36

400

Evaluate:

12 ÷ (-4)

-3

500

Evaluate:

(-14)(-0.5) ÷ (-7)

-1

Solving Equations

100

Solve for x:

x + 9 = 14

x = 5

200

Solve for t:

6t = 36

t = 6

300

Solve for y:

12y - 7 = 101

y = 9

400

Solve for b:

b/5 + 14 = 79

b = 325

500

Solve for x:

4(x - 7) + 2x = 2

x = 5

Evaluating Expressions

100

Evaluate the expression:

y - 7

when y = 10

3

200

Evaluate the expression:

3x + 12

when x = 3

21

300

Evaluate the expression:

6e - 12f

when e = 4 and f = 2

0

400

Evaluate the expression:

2(x+2) - 3y

when x = 8 and y = 10

-10

500

Evaluate the expression:

4 + 2(x - 3y)² + z

when x = 16, y = 4, and z = 7

43