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Solving equations

100

Solve for x

4(3.5x+.75) = 213

210/14 = 105/7 = 15.214

200

Solve for x:

1/3(6x+21)=x-7

x = 14

300

(5x-1)/3 +4 = (-8x+4)/6

x = -1

400

4(x-2) = 6(x+1)

x = -7

500

0.25(4x+3) = 2x-1

x = 7/4

Word problems

100

After eating dinner, the total bill is $52.80. You want to leave a 15% tip. How much should you leave for the tip?

$7.92

200

A car dealer pays $10,200 for a car. The dealer has a goal of making 25% on the sell of the car. For how much should the dealer sell the car?

10,200 + .25(10,200) = 12750

300

Ms. Smith ears $3500 a month. She saves $280 a month. Savings is what percent of her income? 

280/3500 = 0.8

8%

400

Fred bought a shirt for $32. This includes tak of 8.5%. What was the cost of the shirt before tax. Round to the nearest cent. 

29.49

500

A soda has 130 calories for an 8oz can. How many calories are in a 20oz bottle? 

300

Factoring

100

Factor the following: 

x^2-2x-80

(x-10)(x+8)

200

Factor the following: 

6n-7+n^2

(n+7)(n-1)

300

Factor the following: 

5x^2 -25x +30

5(x-2)(x+3)

400

4p^2 - 25

(2p-5)(2p+5)

500

y^2 -18y +81

(y-9)(y-9)

Random

100

Solve the inequality:

x + 3/4 > 7/10

x> 13/20

200

-2f+3/4 > 12

x < 45/8

x < 12.25/2 =6.125

300

3x + 4 < -10

x < -14/3

400

Find the vertex: 

2x^2 +2x -4 

x = -1/2

y =-4.5

500

A bag contains 5 red, 6 green, 10 black, 8 blue, and 9 white marbles. If one marble is drawn, what is the probability that the marble is green? 

15.7%

Graphing Stuff

100

Find the slope of the following: 

-5x+3y=15

5/3

200

Find the y intercept of the following: 

-5x+3y = 15

5

300

Find the slope of the following: 

2x-3y = 3

2/3

400

Find the y-intercept of the following:

2x-3y=3

-1

500

Write the slope-intercept equation for the line containing the points: 

(4, -6) and (-8, 3)

y = -3/4 x -3