Algebra Quiz #5

• 75

• 15

• 25

• 5

Solve the multi-step equation:

9w + 3w = 36

Hint: you have to combine like terms and then solve.

• 3

• 12

• 24

Solve: 7x = 3x + 24

• 10

• 4

• 6

• 14

Solve: 2(4x-3) - 8 = 4 + 2x

• x=5/3

• x=3

• x=1

• x=2

Solve: 14p - 8 = 22 + 20p

• -5

• 5

• 30

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 1 hour

• 2 hours

• 3 hours

• 4 hours

When solving an equation with a fraction, how do you get rid of said fraction?

• Multiply both sides of the equation by the least common denominator.

• Leave the fraction and move on.

• Multiply both sides of the equation by the numerator.

• Divide both sides of the equation by its reciprocal.

Distribute and simplify the following expression.

-3(2 - 4w) + (-11w)

• -6 + 12w + 11w

• w - 6

• -6 + -w

• -6 + 12w - 11w

Simplify and tell whether the equation has one, zero or infinite solutions.

2(3x - 6) = -12 + 6x

• x = 4; One Solution

• x = -x; No Solution

• 0 = 0; Infinite Solutions

• x = 0; One Solution

Choose all of the following options that are possible first steps when solving

2(10 + 12x) = 3 + 9x

• Subtract 3 from both sides of the equation

• Distribute the 2 inside the parentheses to 12x

• Subtract 9x from the right side only

• Distribute the 2 inside the parentheses to 10

• Divide by 2 on both sides