Write / Solve Algebraic Equations

Which expression will give the same answer as 8x for any x?

• x + x + x + x + x

• 3x + 3x + x + x

• 8 + x

• 4x + 4x - 2x

When Mr. John became a teacher, he was 3 years older than the age at which Mr. George became a teacher. Let g stand for Mr. George's age when he became a teacher. Which expression could be used to find Mr. John's age when he became a teacher?

• g - 3

• 3g

• g ÷ 3

• g + 3

Brandon has d dimes, q quarters, and n nickels in his piggy bank. Which equation gives the total value of the coins, t?

• t = d + q + n

• t = (d+0.10) × (q+0.25) × (n+0.05)

• t = (0.10d) + (0.25q) + (0.05n)

• t = (d+0.10) + (q+0.25) + (n+0.05)

Cori is four years younger than her brother. Her brother is b years old. Which equation represents Cori's age, c?

• c = b + 4

• c = b - 4

• c = 4b

• c = $\frac{b}{4}$

Cass is trying to solve the equation 8x = 56. She should —

• subtract 8 from both sides of the equation

• add 8 to both sides of the equation

• divide both sides of the equation by 8

• multiply both sides of the equation by 8

What is the value of q in the equation?

26 = q − 12

• q = $\frac{13}{6}$

• q = 38

• q = 14

• q = 312

What is the value of m in the equation? $\frac{54}{m}\ =\ 6$  

• m = 9

• m = 6

• m = 48

• m = 324

Coach Jamie treated her cheerleading team to ice cream sundaes after they won their competition. She bought 15 sundaes and paid a total of $36.75. If she solves the equation 15x = 36.75, she can find the price per ice cream sundae. What is the cost of 1 sundae, s?

• s = 2.18

• s = 5.18

• s = 2.45

• s = 5.51

What is the value of d in the equation below?

d + 13 = 52

• d = 65

• d = 39

• d = 676

• d = 4

What value of f makes the following equation true? 
1.9f = 19

• f = 10

• 100 = f

• 10 = f 

• f = 100