Unit 8 Equations and Inequalities Review

Adding/Subtracting Equations

100

x + 2 = 2

What is 0

200

x - 7 = 11

x = 18

300

-16 + E = 20

E = 36

400

15 = -27 + R

R = 42

500

0 = T - 0

T = 0

Multiplying/Dividing Equations

100

2x = 4

x = 2

200

x/2 = 4

x = 8

300

-16w = 48

w = -3

400

-156 = -13w

w = 12

500

-20 = 2w

w = -10

Adding/Subtracting Inequalities

100

x + 5 > 10

x > 5

200

x - 2 < 10

x < 12

300

5 > -2 + x

x < 7 or 7 > x

400

-22 < 11 + w

-33 < w

500

-32 > w + 1

w > -33

Multiplying/dividing Inequalities

100

5x > 20

x > 4

200

x/5 > 20

x > 100

300

-5x > 10

x < -2

400

x/-2 < 20

x > -40

500

30 > -2x

x > -15 or -15 < x

Create the Equation

100

The most popular elective at Arts Academy is the improv class. Out of the 97 students that have applied, only 45 can be accepted. How many students are not accepted by writing an equation?

x + 47 = 97

200

Priya and Gerri are working on an extra-credit poster for math class. Priya has 12 double-tip markers, which is 3 fewer than Gerri has. How many markers does Gerri have by writing an equation.

x - 3 = 12

300

A town's total budget for firefighters’ wages is $320,000. Wages are calculated at $40,000 per firefighter. Write an equation that can be used to find w, the number of firefighters the town can employ.

$40,000w = $320,000

400

One Valencia orange tree can produce 275 oranges. A crate contains 25 oranges. How many crates do you need by writing an equation.

25x = 275

500

Aliyah and Tiana want to bake 3 carrot cakes. Each carrot cake needs 2 cups of salted butter. write an equation to represent how many cups of butter you will need for 3 carrot cakes.

x/2 = 3