 Translating Word Problems into Equations
2 years ago
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Practice 16 QuestionsShow answers
• Question 1
60 seconds
Q. Five less than twice a number is equivalent to 47.
5 - 2x = 47
2x - 5 = 47
5x - 2 = 47
2 - 5x = 47
• Question 2
60 seconds
Q. 10 less that half a number is equivalent to 8.
10 - 1⁄2x = 8
1⁄2x + 10 = 8
1⁄2x - 10 = 8
10x - 0.5 = 8
• Question 3
60 seconds
Q. 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
• Question 4
60 seconds
Q. A gymnastics center charges a \$60 registration fee and \$15 per class. Olivia registers to take a class and pays a total of \$210. Which equation can be used to determine how many classes Olivia signed up for?
60 - 15x = 210
15x - 60 = 210
15x + 60 = 210
210 + 15x = 60
• Question 5
30 seconds
Q. 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
• Question 6
60 seconds
Q. One - third of the sum of a number and 24 is equivalent to 10.
1⁄3(x + 24) = 10
1⁄3x + 24 = 10
1⁄3(x - 24) = 10
1⁄3x + 10 = 24
• Question 7
60 seconds
Q. 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
• Question 8
60 seconds
Q. Three-halves the difference of a number of 22 is equivalent to 45.
3⁄2(x + 22) = 45
3⁄2x - 22 = 45
3⁄2(x - 22) = 45
3⁄2x + 22 = 45
• Question 9
120 seconds
Q. A rectangle has a perimeter of 70 feet. Its length is five more than twice its width. Which equation can be used to determine the width of the rectangle?
2x + 5 = 70
3x + 5 = 70
6x + 10 = 70
5x + 2 = 70
• Question 10
120 seconds
Q. A rectangle has a perimeter of 100 inches. Its length is one more than two and a half times its width. Which equation can be used to determine the width of the rectangle?
2.5x + 1 = 100
3.5x + 1 = 100
5x + 2 = 100
7x + 2 = 100
• Question 11
120 seconds
Q. Jordan's teacher, Mr. Langdon, is eight years younger than five times his age. The sum of their ages is 64. Which equation can be used to find Jordan's age?
6x - 8 = 64
5x - 8 = 64
4x - 8 = 64
5x + 8 = 64
• Question 12
120 seconds
Q. Lexi's Great Grandmother is twelve years older than six times her age. The sum of their ages is 117. Which equation can be used to determine Lexi's age?
6x - 12 = 117
7x - 12 = 117
7x + 12 = 117
6x + 12 = 117
• Question 13
60 seconds
Q. The sum of three consecutive integers is 147. Which equation can be used to find the first integer?
3x = 147
x + 3 = 147
x + x + 1 + x + 2 = 147
x ⋅ x ⋅ x = 147
• Question 14
120 seconds
Q. The sum of four consecutive odd integers is equivalent to 232.  Which equation can be used to find the first integer?
4x = 232
x + x + 2 + x + 4 + x + 6 = 232
x + x + 1 + x + 3 + x + 5 = 232
x ⋅ x ⋅ x ⋅ x = 232
• Question 15
60 seconds
Q. Five times a number is equivalent to thirty-two less than nine time the same number.
5x - 32 = 9x
5x = 9x - 32
5x = 9x + 32
5x - 9x = 32
• Question 16
60 seconds
Q. Eight less than three times a number is equivalent to ten more than one and half times the same number.