Foundations of Algebra - S1

Combining Like Terms and Standard Form

100

Rewrite the following polynomial in standard form:

5x² - 3 + 8x

5x² + 8x - 3

200

Rewrite the following polynomial in standard form:

2x + 3x² - 4 + x³

x³ + 3x² + 2x - 4

300

Write an equivalent expression by combining like terms:

-5x - 3 - 6x - 1

-11x - 4

400

Write an equivalent expression by combining like terms:

x + x + x + x

4x

500

Simplify by combining like terms:

x² + 2x² - 3x²

0

Rational or Irrational

100

1

Rational - a whole number

200

-1

Rational - an integer

300

3.25

Rational - a decimal that terminates

400

3.14159265359...

Irrational - a decimal that does not repeat or terminate

500

3/11

Rational - a fraction of integers, also makes a repeating decimal

GCF and Factoring

100

What is the GCF (Greatest Common Factor) shared between the numbers 4 and 16?

4

200

What is the GCF (Greatest Common Factor) shared between the numbers 20 and 50?

10

300

Factor the expression competely:

24 + 12k

12(2 + k)

400

Factor the expression completely:

10x - 15

5(2x - 3)

500

Factoring the expression completely:

3 - 18y

3(1 - 6y)

Exponent Rules and Translating Expressions

100

Use an exponent to condense the expression:

8 x 8 x 8

8³

200

Simplify to a single power of 5:

5² x 5⁴

5⁶

300

Simplify to a single power of 5:

5⁹ / 5⁴

5⁵

400

Translate this expression:

Five more than twice a number

5 + 2x

500

Translate this expression:

10 less than a number

x - 10

Solving Equations

100

Solving for x:

8x = 32

x = 4

200

Solve for y:

y/7 = -6

y = -42

300

Solve for c:

4c - 2 = 10

c = 3

400

Solve for a:

2(a + 6) = -24

a = -18

500

Solve for x:

x² = 100

x = +/- 10