Review Multi-step Equations and Scientific Notation

Scientific Notation

100

Convert to standard notation: 4.7 X 10⁴

47,000

200

Convert to scientific notation: 25,360

2.536 X 10⁴

300

Convert to standard notation: 9.87 X 10⁷

98,700,000

400

Convert to scientific notation: 734,000

7.34 X 10⁵

500

Convert to standard notation: 3.425 X 10⁸

342,500,000

Operations with Scientific Notation

100

(3.2 × 10⁵) + (4.7 × 10⁵)

7.9 × 10⁵

200

(2.0 × 10³)(3.0 × 10⁴)

6.0 × 10⁷

300

(3.4 x 10²) + (4.57 x 10³)

4.91 x 10³

400

(7.1 × 10⁸)(4.0 × 10^-3)

2.84 × 10⁶

500

(4.8 x 10^-3) ÷ (1.2 x 10¹)

4 x 10^-4

1-2 Step Equations

100

-7m = 63

-7m = 63 m=-9

200

n ÷ 7 = -8

n= -56

300

-2k-4=8

k=-6

400

(h ÷ -3) + 6 = -4

h=30

500

2x + 6 = 6

x = 0

Types of Solutions

100

How many solutions does this problem have?

2x = 2

one solution

200

How many solutions does this problem have?

2x = 2x

infinitely many solutions

300

How many solutions does this problem have?

7x - 35 = 0

one solution

400

How many solutions does this problem have?

4x = 4x + 1

no solution

500

How many solutions does this problem have?

2(3x + 4) - 11= 7x - 13 - x + 14

infinitely many solutions

Harder Multi-step Equations

100

3(2x - 9) = 3

x = 5

200

3x + 4 + x + 2 = -30

x = -9

300

2 +9(x-1) = 2

x = 1

400

2(x + 3) + 1 = 31

x = 12

500

2x - 1 +2(x - 1) = - 7

x = -1