Equation Word Problems

Five less than twice a number is equivalent to 47. 

• 5 - 2x = 47 

• 2x - 5 = 47 

• 5x - 2 = 47 

• 2 - 5x = 47 

Justin is purchasing a new iPhone.  The sales clerk says that if he pays $100 now his monthly payments will be $25 and his total cost will be $600.  Which equation can be used to determine how many months Justin will be paying for his phone? 

• 25x + 100 = 600

• 25x - 100 = 600 

• 600 - 100x = 25

• 600 + 25x = 100 

Three times the sum of a number and 7 is equivalent to 57. 

• 3x + 7 = 57 

• 3(x + 7) = 57

• 7x + 3 = 57 

• 7(x + 3) = 57

Twice the difference of a number and 16 is equivalent to 28.

• 2x + 16 = 28

• 2x - 16 = 28 

• 2(x + 16) = 28 

• 2(x - 16) = 28

Rachel and Sharon are splitting up their Pokemon cards.  Rachel has 4 fewer than 3 times as many as Sharon.  Together they have 100 cards.  Which equation could be used to solve for how many cards Sharon had originally?

• n + (3n - 4) = 100

• n - (3n - 4) = 100

• n + (4 - 3n) = 100

• 4 - 3n = 100

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t^2 + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

Match the word problem with the expression:
A teacher had 16 students.  She needed to split up her class into a number of equal groups.  When she was finished, she had 4 groups.

• f x 4 = 16

• 16 x 4 = f

• f = 16 ÷ 4

• 16 ÷ f = 4

Match the word problem with the expression or equation: Mrs. Swilley needed to give 9 boxes of supplies to some groups equally.

• 9 ÷ h = 1

• 9 ÷ h

• 1 x h = 9

• h ÷ 9

Match the word problem with the expression:
Mrs. Swilley's class had 15 students.  Each student did an equal number of word problems.  When finished, together the class completed 45 word problems.

• 15y = 45

• 45 ÷ 15 = y

• 45 ÷ y = 15

• 45 - y = 15

Match the word problem with the expression:
A battery box contains 18 batteries.  Every toy needs the same number of batteries.  I was able to replace the batteries in 9 toys.  How many batteries did each toy need?  

• 9 ⋅ u = 18

• 18 - u = 9

• 18 = 9 + u

• 18 ÷ u = 9