Chapter 4 Review

Solving Equations with Addition or Subtraction

100

Solve for m

m + 4 = 7

m = 3

200

Solve for b

b - 8 = 23

b = 31

300

Solve for y

12 + y = 40

y = 28

400

Solve for x

3 + x = -20

3 + x = -20

3 - 3 + x = -20 - 3

x = -20 + -3

x = -23

500

Solve for j

j - 20 = -90

j - 20 = -90

j - 20 + 20 = -90 + 20

signs are different, so you find the difference of -90 and +20

j = -70

Solving Equations with Multiplication or Division

100

Solve for z 

4z = 32

z = 8

200

Solve for h

h ÷ 5 = 9

h = 45

300

Solve for g

7g = 217

g = 31

400

Solve for d

d ÷ 12 = 3

d = 36

500

Solve for f

(3/4)f = 18

f = 24

Solving Two Step Equations

100

4x + 12 = 28

4x + 12 = 28

4x + 12 - 12 = 28 - 12

4x = 16

4x/4 = 16/4

x = 4

200

Solve for p. 

(p/4) + 3 = 23

(p/4) + 3 = 23

(p/4) + 3 - 3 = 23 - 3

(p/4) = 20

(p/4) x 4 = 20 x 4

p = 80

300

Solve for s

2s - 8 = 20

2s - 8 = 20

2s - 8 + 8= 20 + 8

2s = 28

2s ÷ 2 = 28 ÷ 2

s = 14

400

Solve for (3/4)q + 5 = 35

(3/4)q + 5 = 35

(3/4)q + 5 - 5 = 35 - 5

(3/4)q = 30

(4/3)(3/4)q = 30(4/3)

Cross cancel--both 3 and 30 can be divided by 3. So now your fractions look like (4/1)(10)

4 x 10 = 40

q = 40

500

Amber is saving money for a switch game. She already has 30 dollars saved. Every w weeks, Alice earns 10 dollars. If the game costs 60 dollars, how many weeks will Alice have to work to save up for the switch game. Write an equation to solve

60 = 10w + 30 (10 is the rate of change, 30 is the constant)

30 = 10w

3 = w

Integer Addition and Subtraction Rules

100

4 True or False questions (Half points if you can get at least 2, full points for all 3)

A negative plus a negative equals a negative

A positive plus a positive equals a positive

A negative plus a positive means you have to subtract

All true

200

Solve 

4 + -3

4 + -3 = 4 - 3 = 1

300

Solve 

-7 - 5

-7 - 5 = -7 + -5 = -12

400

Solve 

-8 + 7

-8 + 7 

You have to subtract, because the signs are different and it will take the sign of the bigger number!

8 - 7 = 1

8 > 7, so it's -1

500

Solve

8 - -2

8 - -2 = 8 + 2 = 10

Integer Multiplication and Division Rules

100

True or false:

When multiplying or dividing, when the signs are the same, your answer is positive. When the signs are different, your answer is negative.

True!

200

Solve

4 x 3 

4 x 3 = 12

300

Solve 

-10 x 6

-60

400

Solve

-7 x -5

35

500

The answers to these expressions are different, even though the numbers are the same. Show the different answers!

(-4)² =

-4² =

(-4)² = (-4) x (-4) = 16

-4² = - (4 x 4) = -(16) = -16

When there are parentheses, the problem follows normal negative rules. When there aren't, the answer is always negative, regardless of the rule!