Algebra Review

Single Step X

100

x + 8 = 14

x = 6

200

3x = 21

x = 7

300

x + 4 = -12

x = -16

400

14x = -56

x = -4

500

-13x = 91

x = -7

Double Step X

100

3x + 1 = 13

x = 4

200

12x + 8 = -4

x = -1

300

-4x + 5 = -15

x = 5

400

17 - 2x = -5

x = 11

500

x/6 - 3 = -11

x = -48

Distribution

100

4(9x + 1)

36x + 4

200

6(-5n + 7)

-30n + 42

300

-6(a + 8)

-6a - 48

400

-5(7a - 6)

-35a + 30

500

(x + 3)(x - 2)

x² + x - 6

Substitution

100

a + 4

a = -2

2

200

b - 8

b = -5

-13

300

fgh

f = 5, g = 6, h = 4

120

400

5h + 7i

h = -2, i = 9

53

500

c² + c - 1

c = 4

19

Word Problems

100

The beach is 𝑥 miles away from home. Josh drove to and from the beach with a total distance of 36 miles. Find 𝑥.

x = 18

200

Emily bought some ice cream cones which cost $24. She paid $𝑚 and got back $6 of change. Find 𝑚.

m = $30

300

Mariah promised her children they would play on the beach for 90 minutes. After they played for 𝑦 minutes, she reminded the children that they would be leaving in 15 minutes. Find 𝑦.

y = 75

400

Norah bought 2 bottles of water, each with a capacity of 500ml. After Norah and her sister each drank 𝑧 ml from the bottles, they have total of 340 ml of water left. Find 𝑧.

z = 660

500

In the morning, there were 𝑡 people at the beach. Later at noon, 2/7 of the people left the beach and there were 30 people left on the beach. Find 𝑡.

t = 42