Chapter 8 Jeopardy

Combining Like Terms to Solve Equations

100

Solve for x.

4x - 2x = 12

2x = 12

x = 6

200

Solve for x. 

10x - 7x = 33

3x = 33

x = 11

300

Solve for y.

8y - 3y -11 = 14

5y - 11 = 14

5y = 25

y = 5

400

Solve for r.

10 - 3r + 5r - 7 = 27

10 - 7 - 3r + 5r = 27

3 + 2r = 27

2r = 24

r = 12

500

Solve for k. 

9 + k + 2 + 3k + 3 = 58

9 + 2 + 3 + k + 3k = 58

14 + 4k = 58

4k = 44

k = 11

Distributive Property to Solve Equations

100

Solve for x.

2(x + 1) = 8

2x + 2 = 8

2x = 6

x = 3

200

Solve for y.

4(y + 2) = 28

4y + 8 = 28

4y = 20

y = 5

300

Solve for t.

5(2t - 1) = 35

10t - 5 = 35

10t =40

t = 4

400

Solve for x.

-3(2x + 3) = 39

-6x - 9 = 39

-6x = 48

x = -8

500

Solve for g. 

-4(-2g + 3) = 60

8g - 12 = 60

8g = 72

g = 9

Moving Variables to One Side of Equation to Solve Equations

100

Solve for x.

4x + 10 = 6x

10 = 2x

5 = x     or    x = 5

200

Solve for y.

25 + 3y = 8y

25 = 5y

5 = y     or     y = 5

300

Solve for j.

10j - 8 = 2j + 40

8j - 8 = 40

8j = 48

j = 6

400

Solve for p.

-7p + 5 = p - 19

5 = 8p - 19

24 = 8p

3 = p    or    p = 3

500

Solve for x.

-4x - 27 = -6x + 3

2x - 27 = 3

2x = 30

x = 15

Multi-Step Equations

100

The first step in our process for solving multi-step equations is to ____________. 

look for and solve any distributive property. 

200

Solve for g. 

2g + 3g = 30 - g

5g = 30 - g

6g = 30

g = 5

300

Solve for k. 

2(2k + 2) + 8  = 40

4k + 4 + 8 = 40

4k + 12 = 40

4k = 28

k = 7

400

Solve for b. 

8b - 14 = 3(2b - 4) 

8b - 14 = 6b - 12

2b - 14 = -12

2b = 2

b = 1

500

Solve for n.

-2(2n + 3) = 4n + 34

-4n - 6 = 4n + 34

-6 = 8n + 34

-40 = 8n

-5 = n     or      n = -5

Multi-Step Equations

100

The second step in our process for solving multi-step equations is to _______. 

combine like terms that are on the same side of the equation. 

200

Solve for z.

14z + 8 - 7z = 4z + 38

14z - 7z + 8 = 4z + 38

7z + 8 = 4z + 38

3z + 8 = 38

z = 10

300

Solve for x.

3(4x - 6) = 62 - 8

12x - 18 = 62 - 8

12x - 18 = 54

12x = 72

x = 6

400

Solve for s.

4(2s + 5) = 7s + 10

8s + 20 = 7s + 10

s + 20 = 10

s = -10

500

Solve for x. 

-4(x - 2) + 3 = 2x - 43

-4x + 8 + 3 = 2x - 43

-4x + 11 = 2x - 43

11 = 6x - 43

54 = 6x

9 = x      or     x = 9