Semester 1 Test Review

Solving Equations

100

2x + 7 + 2x = 23

x = 4

200

61 = 6 - 8x - 3x

x = -5

300

[3(x - 5)]/2 = 9 

x = 11

400

2(x - 1) + 3 = 2x + 1 

infinite solutions 

500

6(x + 5) - 10 = 3(2x - 3)

no solutions 

Solve in terms of..

100

p = 2a + b 

Solve a in terms of p and b.

a = (p - b) / 2

200

C = 2*pi*r

Solve for Pi in terms of C and r. 

pi = C/(2r)

300

5x - y = 3(x + y) 

Solve for x in terms of y. 

x = 2y

400

4x + 2y = 8 

Solve for y in terms of x. 

y = -2x + 4

500

4x - 1/2y = 9

Solve for y in terms of x. 

y = 8x - 18

Slope

100

What is the formula to find the slope from two points? 

m = (y - y)/(x - x)

200

What slope does a horizontal line have? 

m = 0

300

Find the slope between the two points: 

(4, 5) & (0, -3)

m = 2

400

Find the slope between the two lines: 

(-8, 2) & (-3, -3) 

m = -1

500

Find the slope between the two points:

(9, -2) & (9, 8)

m is undefined 

Rules of Exponents

100

Simplify: 

(p⁴ * p²)³

p¹⁸

200

Simplify: 

2x²*4x⁵

8x⁷

300

Simplify: 

[(b*b⁴)⁵] / (b²)³

b¹⁹

400

Simplify: 

(b⁴*5a⁴*10a³) / (2a²*b²)

25b²*a⁵

500

Write the algebraic rules to ALL of the following: 

1. Product of Power

2. Quotient of Power

3. Power of Power

1. Product of Power: xⁿ*x^m=x^n+m

2. Quotient of Power: x^n/x^m=x^n-m

3. Power of Power: (xⁿ)^m=x^n*m

Scientific Notation

100

Write 40,102 in scientific notation.

4.0102*10⁴

200

Write 0.000057 in scientific notation.

5.7*10^-5

300

Multiply and properly write in scientific notation: 

(8*10^-8)*(4*10³)

3.2*10^-4

400

Add: 

5*10^-5 + 1.3*10^-4

1.8*10^-4

500

Subtract and write in proper scientific notation: 

4.3*10⁵ - 2.0*10⁴

4.1*10⁵