Chapter 2 - Algebra

Solving Equations

100

Solve for x:

-1/3x = 7

x = -21

200

Solve for x:

14 = -4x + 6

x = -2

300

Solve for y:

2(y - 4) + 16 = 8 + 2y

All real numbers

R

400

Solve for n:

8n - (2n - 3) = 12

n = 3/2

500

Solve for g:

5g - 4(3g - 5) = 1 - g

g = 19/6

Literal Equations

100

Solve for W:

A = LW

W = A/L

200

Solve for h:

A=1/2 bh

 

h=(2A)/b

300

Solve for w:

7 - w = k - m

w = 7 - k + m

400

Solve for x:

(x+r)/t + 1 = 0

x = -t - r

500

Solve for x:

y - 3x = 2x + 9

x = (y-9)/5

Mystery???

100

A blouse is on sale for 33% off. The regular price is $46. What is the sale price?

$30.82

200

abs(-4x)=16

x = 4 or -4

300

Solve by mental math and explain how you got your answer:

Estimate the tax on a $21,899 car when the tax rate is 5%.

About $1100

10% of $22,000 = $2200 (remove one zero)

So 5% is half of 10%

400

1-3abs(x-1)=7

No solution

500

6 - abs(2x-5)=4

x = 3/2 or 7/2

Rates, Ratios, Proportions

100

Solve for y:

-7/10 = y/9

y = -6.3

200

You project a drawing 7 in. wide and 4.5 in. tall onto a wall. The projected image is 27 in. tall. How wide is the projected image?

42 in

300

If Andy drinks 8 cups of water per day, what is his rate in ounces per hour?

2 2/3 oz/hr

400

Teenagers should consume 1300 mg calcium per day. Convert this rate to grams per year.

474.5 g/yr

500

Solve for c:

5/(2c - 3) = (-3)/(7c + 4)

c = -11/41

Percents

100

What is 72% of 150?

108

200

What percent of 48 is 18?

37.5%

300

600% of what number is 102?

17

400

A salesman earns a base salary of $36,000 plus 2 1/2% commission on sales. His total sales for one year was $500,000. Find the salesman's total pay for that year.

$48,500

500

Amy purchased a picture frame for $14.57. This price was a 36% markup from the wholesale cost. What was the wholesale cost? Round your answer to the nearest cent.

$10.71