Algebra Review 1

Chapter 1:

100

Simplify:

12 ÷ 2 x 3 ÷ 9

2

200

Evaluate

2n⁴  for n = 2

32

300

Translate to an expression:

A number that is three less than twice x

2x - 3

400

Simplify:

4(x+3)+5(x+3)

9x+27

500

Find the temperature in celsius (C) given a temperature of 75 degrees Fahrenheit using the following:

C = 5/9 (F-32)

24 degrees celsius

Chapter 2: Integers and Rational Numbers

100

Evaluate:

|8| x |-2| - |5|

11

200

Write 7 1/2 as a ratio of two integers

15/2

300

Identify the terms in the following expression:

12x - 13.2y + 5/8z - 4.5

12x, -13.2y, 5/8z, -4.5

400

Simplify the following:

1-[7-4(7-5)]

-10

500

Write an equation for the following:

A dozen roses cost $30. How much does each rose cost?

30/12 = r    or    12r = 30

Chapter 3: Equations

100

Solve:

m + 2/9 = 2/3

2/3

200

3/5 = -2/5x

x = -3/2

300

Solve:

6.8y - 2.4y = -88

-20

400

Solve the following proportion:

5/x = 9/11

x = 55/9

500

2/7x + 1/2x = 3/4x + 1

x = 28

Chapter 4: Inequalities and Absolute Value

100

Graph on a number line:

c is less than or equal to -1

See board

200

Solve:

3(r+2)-2r < 4

r < -2

300

-8y > -31

y < 31/8

400

27-11x > 14x-18

x < 9/5

500

Translate to an inequality:

5 less than a third of a number is at most 15

x/3 - 5 < or = 15

Random

100

Write a true statement for the following:

|-5| ______ |-2|

|-5| > |-2|

200

-7/8 ÷ 5/4

-7/10

300

Solve for x:

-5-y-x=24-z

x  = -29 + z -y

400

Solve for t:

v = 3k/t

t = 3k/v

500

What percent of 68 is 17?

25 %