Unit 1 Review

Numbers

100

|-3| = ?

3

200

- | -3|

-3

300

-12 + 6 = ?

-6

400

5/4 - 2/3 = ?

7/12

500

Give an example of an irrational number

Pi; square root of 2

Distribution

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

7k - 8 + 2(k + 12) = 52

a = -10

Variables Both Sides

100

What is the solution set of the equation?

5x + 6 = 4x - 15

x = -21

200

4x  = 37 + 3x

x = 37

300

8x + 52 = 6x - 40

x = -46

400

4(x - 3) = 3x - 10

x = 2

500

5(x + 7) - 28 = 4x + 1

x = -6

Miscellaneous

100

4x + 9 = 33

x = 6

200

5p + 3 = 5p + 7

Conditional, identity, or contradiction?

contradiction

300

Suppose the solution set for ax = 12 is {3}

Find the value of a.

a = 4

400

5p + 3 = 5p + 3

Conditional, identity, or contradiction?

identity

500

Suppose the solution set for ax = 50 is {5}

Find the value of a.

a = 10

Fractions and Decimals

100

0.1x + 0.7 = 0.6

x = -1

200

5/3x + 1/3 = -3

x = -2

300

4/5x = -5/3 -1/3x

-25/17

400

17.9x + 4.8 = 7.6x + 56.3

x = 5

500

1/4(x - 4) = 1/3(4x - 2)

x = -4/13