Write Two-Step Equation

Eddie scored 27 points more than half of what Duncan scored. Eddie scored 58 points. Which equation represents the situation to find how many points Duncan scored?

• 1/2d + 27 

• d + 27 = 58

• 1/2d + 27 = 58

• 1/2d - 27 = 58

The 30 members of a choir are trying to raise $1500 to cover travel costs to a signing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?

• 30x + 600 = 1500

• 30x - 600 = 1500

• x + 600 = 1500

• 30x = 1500

Eight less than 7 times a number is the same as 4 more than 3 times the number

• x + 3 = x

• 8 = x + 4 + 3

• 8 - 7x = 4 + 3x

• 7x - 8 = 3x + 4

Solve for x:
-30 - 5x = 120

• x = 18

• x = -18

• x = 30

• x = -30

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 15 + 0.20x

• C =15 (0.20x)

• C = 15 + x + 0.20

• C = 0.20 + 15x

Solve for x.

2(x + 15) = -6

• x = -10.5

• x = -18

• x = 18

• x = 10.5

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

Did Sarah make an error? If so, which is the best description of her error?

• She didn't distribute correctly. The second step should read 3x - 12 = 24

• She didn't distribute correctly. The second step should read -3x - 12 = 24

• She didn't distribute correctly. The second step should read -3x + 12 = 24

• She didn't make an error.

3c + 5 = 23

• c = 3

• c = 6

• c = 7

• c = 18

Solve.

4x + 7 = 23

• x = 16

• x = 4

• x = 9

• x = 12