Title: Math 7 Review Solving Equations
Course: quiz duplicate error

Show the steps you use to solve the equation.

\[\frac{5}{8}\] k = \[-\frac{5}{2}\]

Q: Solve the equation. Check your solution.

t - 2 = 11
- t = 9 (incorrect)
- t = -13 (incorrect)
- t = -9 (incorrect)
- t = 13 (correct)
A: t = 13

Q: Solve the equation. Check your solution.

-9x = -27
- x = 2 (incorrect)
- x = -18 (incorrect)
- x = 3 (correct)
- x = 18 (incorrect)
A: x = 3

Q: Solve the equation. Check your solution.

\[\frac{1}{2}\] + x = 4
- x = 7 (incorrect)
- x = [Image] (incorrect)
- x = [Image] (correct)
- x = [Image] (incorrect)
A: x = [Image]

Q: Solve the equation. Check your solution.

\[\frac{n}{2}\] = 11
- n = 13 (incorrect)
- n = 12 (incorrect)
- n = 5 (incorrect)
- n = 22 (correct)
A: n = 22

Q: Solve the equation. Check your solution.

-z = 12
- z = -12 (correct)
- z = -1 (incorrect)
- z = 12 (incorrect)
- z = 0 (incorrect)
A: z = -12

Q: Solve. Check your solution.

-27.3 = 14.6 + m
- m = 41.9 (incorrect)
- m = -41.9 (correct)
- m = -12.7 (incorrect)
- m = 12.7 (incorrect)
A: m = -41.9

Q: Solve. Check your solution.

-6 = z - 25
- z = -19 (incorrect)
- z = 19 (correct)
- z = -31 (incorrect)
- z = 31 (incorrect)
A: z = 19

Q: Solve. Check your solution.

\[-\frac{t}{7}\] = 15
- t = -105 (correct)
- t = -22 (incorrect)
- t = -98 (incorrect)
- t = -90 (incorrect)
A: t = -105

Q: Solve. Check your solution.

24 = \[\frac{3}{4}\] x
- x = [Image] (incorrect)
- x = 18 (incorrect)
- x = 32 (correct)
- x = [Image] (incorrect)
A: x = 32

Show the steps you use to solve the equation.

\[\frac{x}{2}\] + 4 = -10

Q: Solve the equation. Check your solution.

2r + 7 = 27
- r = 18 (incorrect)
- r = 6 (incorrect)
- r = 22 (incorrect)
- r = 10 (correct)
A: r = 10

Q: Solve the equation. Check your solution.

22 = -3x - 2
- x = 27 (incorrect)
- x = 31 (incorrect)
- x = 5 (incorrect)
- x = -8 (correct)
A: x = -8

Q: Solve the equation. Check your solution

-7 = 8 – 5w
- w = 3 (Correct)
- w = -3 (Incorrect. There is a negative on the 5w.)
- w = -1/5 (Incorrect. You need to subtract 8 from both sides.)
- w = 1/5 (Incorrect. You need to subtract 8 from both sides.)
A: w = 3

Q: Solve the equation. Check your solution.

-7 - y = -2
- y = 5 (There was a negative in front of the y.)
- y = -5 (Correct)
- y = 9 (You need to add 7 to both sides.)
- y = -9 (You need to add 7 to both sides.)
A: y = -5

Q: Write the sentence as an equation. Use x to represent any unknown number.

Seven added to three times a number is 23.
- 3(x + 7) = 23 (incorrect)
- 3x = 7 + 23 (incorrect)
- (7 + 3)x = 23 (incorrect)
- 3x + 7 = 23 (correct)
A: 3x + 7 = 23

Meilani's neighbor will pay her $14 to mow the lawn and $4 per hour to take care of the garden. If she mows the lawn, what is the least amount of hours she needs to work in the garden to earn $30?

a. Write what the variable is and what it represents

b. Write an equation for the situation

Q: Meilani's neighbor will pay her $14 to mow the lawn and $4 per hour to take care of the garden. If she mows the lawn, what is the least amount of hours she needs to work in the garden to earn $30? Solve.
- Meilani needs to work 2 hours in the garden.
- Meilani needs to work 3 hours in the garden.
- Meilani needs to work 4 hours in the garden.
- Meilani needs to work 5 hours in the garden.
A: Meilani needs to work 4 hours in the garden.

Q: Solve the equation.

\[\frac{1}{5}\] f - 4 = 1
- f = 25 (correct)
- f = -15 (incorrect)
- f = -25 (incorrect)
- f = 15 (incorrect)
A: f = 25

Show the steps you use to solve the equation. Don't forget to simplify first!

-18 = -4x – 6x + 2
Feedback: Here is a link to a video that will help you remember how to do these: http://youtu.be/hWhAMG3diNQ

Q: Peter tends a total of 87 sheep and goats. He had 15 more sheep than goats. How many sheep and goats
does he have? Choose the equation that you could use to solve for how many goats, g, Peter has.
- g + 15 = 87 (g + 15 is the number of sheep Peter has. You also need to add the number of goats.)
- g + g + 15 = 87
- 87 + g = 15 (The total is 87. The goats plus the sheep should equal 87.)
A: g + g + 15 = 87

Q: Peter tends a total of 87 sheep and goats. He had 15 more sheep than goats. How many sheep and goats
does he have? Solve for how many goats, g, Peter has.
- 36 goats
- 18 goats
- 11 goats
- 22 goats
A: 36 goats

Show the steps you use to solve the equation.

-4x = -12

Q: Peter tends a total of 87 sheep and goats. He had 15 more sheep than goats. How many sheep and goats
does he have?

Solve the equation g + g + 15 = 87 to find out how many goats, g, Peter has.
- 36 goats
- 18 goats
- 11 goats
- 22 goats
A: 36 goats