Algebra 1 Chapter 1 Review

Solving One-Step Equations

100

y + 2 = 7

y + 2 = 7

y = 7 - 2

y = 5

200

m - 6 = 10

m - 6 = 10

m = 10 + 6

m = 16

300

9 + n = 13

9 + n = 13

n = 13 - 9

n = 4

400

4x = 20

4x = 20

x = 20/4

x = 5

500

v/5 = 3

v/5 = 3

v = 3 (5)

v = 15

Solving Equations with Absolute Value

100

|-5|

5

200

|x|=3

x= -3 or 3

300

|x-2|=-5

No solution

400

|x-5|=6

x=11 or x=-1

500

|x-24|=|7x|

x=3 and x=-4

None, one, or Infinitely Many Solutions

100

6x–3=21

One Solution

200

3x+8=1+3x

No Solutions

300

9+7x=7x+9

  

Infinitely Many Solutions

400

5x+7 = 3x+4+2x

No Solutions

500

4x+12=2x+12+2x

Infinitely Many Solutions

Solving Two-Step Equations

100

2x + 1 = 11

2x + 1 = 11

2x = 11 - 1

2x = 10

x = 5

200

3x + 2 = 14

3x + 2 = 14

3x = 14 - 2

3x = 12

x = 12/3

x = 4

300

4f - 2 = 14

4f - 2 = 14

4f = 14 + 2

4f = 16

f = 16/4

f = 4

400

x/5  - 1 = 2

x/5  - 1 = 2

x/5 = 2 + 1

x/5 = 3

x = 3 (5)

x = 15

500

x/2 - 4 = 6

x/2 - 4 = 6

x/2 = 6 + 4

x/2 = 10

x = 10 (2)

x = 20

Multi-Step Equations

100

3g + 2g + 1 = 21

3g + 2g + 1 = 21

5g + 1 = 21

5g = 21 - 1

5g = 20

g = 20/5

g = 4

200

4a + 2a + 3 = 15

4a + 2a + 3 = 15

6a + 3 = 15

6a = 15 - 3

6a = 12

a = 12/6

a = 2

300

10y - 2y + 3 + 2 = 13

10y - 2y + 3 + 2 = 13

8y + 5 = 13

8y = 13 - 5

8y = 8

y = 8/8

y = 1

400

9s + s + 3 - 1 = 22

9s + s + 3 - 1 = 22

10s + 2 = 22

10s = 22 - 2

10s = 20

s = 20/10

s = 2

500

10 ( 2 + 3z) = 110

z = 3