Fundamentals of Math II: Units 1-3 Review

Solving Equations

100

2x=-18

x=-9

200

5x+9=34

x=5

300

2(x+3)=6

x=0

400

45=-3(2x-7)

x=-4

500

50=2(x-7)-10

x=37

Scientific Notation

100

Write 0.0007 in scientific notation.

7.0 x 10^-4

200

Write 8.097x10³ in standard form (include the correct placement of commas if needed).

8,097

300

1.2x10⁶ + 2.4x10⁶

3.6x10⁶

400

7.35x10⁵ - 9.1x10⁴

6.44x10⁵

500

6.5x10⁵ x 9.8x10⁴

6.37x10¹⁰

Algebraic Properties/Simplify

100

Identify the property modeled by the following:

(2+6)+8=2+(6+8)

associative property

200

Simplify by combining like terms: 3x-5x-7+27

-2x+20

300

Simplify:

-2(12x-7)-30x

-54x+14

400

What property is illustrated below?

(8.2+7)+10=10+(8.2+7) 

commutative property

500

Simplify: 

-1(-x+9)-7(x-10)

-6x+61

Square & Cube Roots

100

What is the principle (positive) square root of 196?

14

200

What is the cube root of -216?

-6

300

If the volume of a cube is 729 inches², what is the length of the cube?

9 inches

400

Solve:

x²=16

x= 4, -4

500

Solve:

x²=-289

no solution/not possible

Exponents

100

Simplify:

(x²)(x³)

x⁵

200

Simplify:

(x⁴)²

x⁸

300

Simplify. Express your answer with positive exponents.

a^-12

1/a¹²

400

Simplify. Express your answer with positive exponents.

4r^-12s¹⁰x

4s¹⁰x/r¹²

500

Simplify. Express your answer with positive exponents.

5^-2w^-7s⁴/w⁶s^-8

s¹²/25w¹³