MTH 005 Unit 2 Review

Solving Equations

100

The solution of the equation 20 - x = -12?

What is 32?

200

A replacement that makes an equation true.

What is a solution?

300

Solve:

6 - 4(3x - 2) = -34

What is 4?

400

What principle we use to isolate x in x - 5 = 14.

What is the addition principle?

500

5/6 + 1/7 t = 3

What is

91/6 ?

Formulas

100

Solve for t.

C = dt

What is 

C/d

200

Solve for k.

q = 3k = 3u

What is 

(q-3u)/3

300

Solve the equation for y.

What is 

(45-5x)/9

400

Solve for y.

wy + yx - 6

What is 

(x+6)/(w+z)

500

Solve for x.

z = 12 + 2(x + y)

What is 

x = (z - 2y - 12)/2

Ratios/Proportions

100

A ratio is a comparison of two quantities with different units:

TRUE OR FALSE

What is FALSE?

200

Write as a ratio on lowest form.

4 gallons to 20 gallons

What is 

1/5

300

The cost of building a shed was $1,500 for labor and $1,800 for materials.  What is the ratio of labor to materials?

What is 

5/6

400

Solve. 

1/2 = 4/n

What is 8?

500

If 15 inches represents 8 feet on a scale drawing, how long will a line segment be that represents 12 feet?

What is 22.5 feet?

Applications with Percents

100

Convert to decimal notation.

56%

What is 0.56

200

Convert to percent notation.

3/8

What is 

 37 1/2 %

300

9 is 12% of what?

What is 75%?

400

27 is what percent of 60?

What is 45%?

500

Dave left a 20% tip on a meal that cost $34.00.  How much did Dave spend in total?

What is $40.80?

$34.00 meal + $6.80 tip

Inequalities

100

Classify the following as equivalent or inequivalent.

x < -11 ;  -11 > x

What are equivalent?

200

Solve. 

4x - 9 <= 11

What is 

x<= 5

300

Type of notation:

{x|x>3}

What is set-builder notation?

400

Solve.

 -12x > 36

What is x < -3?

500

Solve.

y + 1/7 <= 7/14

What is 

y <= 5/14

Problem Solving

100

Write as an inequality.

Georgiana runs at least 5 miles a day.

What is 

x >= 5

200

The maximum fine for smoking is $1500.

What is 

y <= 1500

300

Ayesha’s financial aid stipulates that her tuition not exceed $2500. If her local community college charges a $95 registration fee plus $675 per course, what is the greatest number of courses for which Ayesha can register?

 What is 3 courses?

400

Rod’s quiz grades are 73, 75, 89, and 

91. What scores on a fifth quiz will make his average 

quiz grade at least 85?

What is 97?

500

Iris can be paid in one of two ways:

Plan A: A salary of $400 per month, plus a commission of 8% gross sales;

Plan B: a salary of 610 per month, plus a commission of 5% gross sales.

For what amount of gross sales should Toni select Plan A?

When are gross sales higher than $7000?