Algebra REVIEW

Expession

100

Evaluate the expression for the given values:

-4x + 3y for x = -2 and y = 4

20

200

Evaluate the expression for the given values:

x/8 - 6y for x = -16 and y = 2

-14

300

Simplify the following expression:

-7 + (-2m) + (-7m) + 13

-9m + 6

400

Simplify the following expression:

-(4x - 9) -3(6x + 5)

-22x - 6

500

Simplify the following expression:

2/3(-6x + 3y - 9z) - 3/4(16x - 12y - 32z)

-16x + 11y + 18z

Equations

100

Solve the equation:

(x + 6)/4 = 5

x = 14

200

Solve the equation:

-4(2x - 3) = -36

x = 6

300

Solve the equation:

-x/3 + 9 = -2

x = 33

400

Solve the equation:

2x + x - 9 + 7 = 13

x = 5

500

-4x + 6x - 13 + 17 = 28

x = 14

Inequalities

100

Graph x < 3

Open circle on 3 going to the left

200

Graph -4 </= x  

Closed circle on -4 going to the right

300

Solve and graph the inequality:

7 - 2x < 19

x > -6

Open circle on -6 going to the right

400

-23 > - 9 + 7x

-2 > x or x < -2

Open circle over -2 going to the left

500

Solve and graph the inequality:

14 > 17 - x/4

12 < x or x > 12

Open circle over 12 going to the right.

Words to Math

100

Write and solve an equation for the following:

twice a number increased by three is seventeen. What is the number?

2x + 3 = 17

x= 7

200

Nine more than the product of a number and three is twenty-four. What is the number?

9 + 3x = 24

x = 5

300

Write and solve an inequality for the situation below:

The sum of two and three times a number is no less than seventeen.

2 + 3x >= 17

x >= 5

Shaded circle over 5 going to the right

400

Write, solve and graph an inequality for the situation below:

Four less than the product of two and a number is greater than sixteen.

2x - 4 > 16

x > 10

Open circle over 10 going to the right.

500

Wallace has $35 to spend at the amusement park. Admission is $8 an games are $4 each. What is the greatest number of games Wallace can play?

8 + 4x <= 35

4x <= 27

x <= 6.75

So 6 is the greatest number of games Wallace can play.

REVIEW

100

What is the decimal equivalent to 7/8?

.875

200

If a dice is rolled 120 times, about how many times could you expect a 3 or a 4 to be rolled?

2/6 = x/120

About 40 times. 

300

The ratio of sports to war games in Marks collection is 3:7. If Mark has 14 war games, how many sports games does he have?

6 sports games.

400

There is a jar containing 500 jelly beans. An experiment was conducted where 25 jelly beans were randomly selected from the jar. Of the 25 selected, 6 were red, 10 were green, 3 were orange, 2 were purple and 4 blue. Based on these results, about how many jelly beans in the jar could you expect to be red? 

6/25 = x/500

x = 120, so you expect about 120 jelly beans to be red.

500

You purchased 6 oz of juice for $4.80. What is the unit price for the juice per ounce?

$.80 per ounce.