Numbers and Equations Test Review

Percent Proportions, Fractions and Simplifying Expressions

100

Complete the following. When multiplying a dividing two numbers, a ...

positive and positive make a ________

positive and negative make a ________

negative and positive make a ________

negative and negative make a ________

What is positive, negative, negative, positive?

200

What is 80% of 700?

What is 560?

300

What is the common denominator of 1/2, 1/3, and 1/8?

What is 24?

400

Simplify the following expression:

75/20

What is 15/4?

500

Simplify the following:

((3/8)÷(1/4))²

What is 9/4?

Two Step Equations

100

Solving Equations

x - 2 = 6

x = 8

200

Solving Equations

-5p + 1 = 6

p = -1

300

3 = -2 – x

x= -5

400

Solving Equations

(2n)/7 = 4

n = 14

500

(x/3)+12=-3

x= -45

Multi-Step Equations (DCMAM)

100

Solving Equations

4(6 + 5x) = 124

x = 5

200

Solving Equations

-108 = -8(x + 6) - 4

x = 7

300

Solving Equations

172 = 5(4a + 6) + 2

a=7

400

Solving Equations

-5(8n - 4) - n = - 16 - 5n

n = 1

500

Solving Equations

-93 = 7(-3k - 8) + 5

k = 2

Applications

100

The monthly car payment on a 60-month loan at a 5% rate is calculated by using the formula...

P = (0.018417)L

Where P is the monthly car payment and L is the loan amount. 

If you can afford a $300 monthly car payment, what is the maximum loan amount you can afford? Round to the nearest cent.

What is 16,289.30?

200

The monthly car payment on a 60-month loan at a 5% rate is calculated by using the formula...

P = (0.018417)L

Where P is the monthly car payment and L is the loan amount. 

If you can afford a $350 monthly car payment, what is the maximum loan amount you can afford? Round to the nearest cent.

What is 19,004.18?

300

The pressure on a diver can be calculated using the formula

P=15+0.5D, where P is the pressure in pounds per square inch and D is the depth in feet.

Find the depth of a diver when the pressure on the diver is 45lb/in²

What is 60 feet?

400

The pressure on a diver can be calculated using the formula

P=15+0.5D, where P is the pressure in pounds per square inch and D is the depth in feet.

Find the depth of a diver when the pressure on the diver is 55lb/in²

What is 80 feet?

500

The formula N=7C-30 approximates N, the number of times per minute a cricket chirps when the air temperature is C degrees Celsius. 

What is the approximate air temperature when a cricket chirps 140 times per minute? Round to the nearest tenth.

What is 24.3 degrees Celsius?

Literal Equations

100

Solve P = a + b + c for the variable b

What is b = P - a - c ?

200

Solve E=IR for the variable R

What is R=E/I ?

300

Define Literal Equations and Formulas

Literal Equations are equations that include more than one variable.

Formulas are literal equations that states a relationship between two or more quantities in an application (real world) problem.

400

Solve P= (R-C)/n for the variable R

What is R= Pn + C

500

Solve A=(1/2)h(b₁+b₂) for b₂

What is b₂=(2A/h)-b₁