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Symbolize Problem Solutions
1. What problem situation best fits the equation?
y = (1/4)x
A. What is y, the radius of a circle with circumference x?
B. What is y, the area of the base of a rectangular prism with volume x?
C. What is y, the total number of quarters in x dollars?
D. What is y, the length of a side of a square with perimeter x?
2. Which equation represents the following sentence?
Three fifths less than a number is
the opposite of negative eighteen.
A. n - 3/ = 18
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B. n - 3/ = -18
5
C. 3/ - n = 18
5
D. n = 3/5 - 18
3. In the equation below, what can y best be described as?
y = 1,000x
A. the number of millimeters in x meters
B. the number of days in x years
C. the number of ounces in x gallons
D. the number of kilometers in x meters
4. Jack is 2 years more than twice the age of Jill. If is Jack is 22 years old, which of the following equations could
be used to find Jill's age? (Let N = Jill's age)
A. N + 2 = 22
B. 2N - 2 = 22
C. 2N + 22 = 2
D. 2N + 2 = 22
5.
4N - 9 = 3
Which of the following sentences represents the equation above?
A. Four times the difference of a number and 9 is 3.
B. Four less than the product of 9 and a number is 3.
C. Nine less than the product of 4 and a number is 3.
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D. Nine more than the product of 4 and a number is 3.
6. Which equation represents the following sentence?
Fifteen is the same as the quotient of
seventeen and a number added to 255.
A. 15 = 17n + 255
B. 15 = 17/n + 255
C. 15 = 255 + n/17
D. -15 = 17/n + 255
7. In the equation below, what can z best be described as?
z = 12 × j
A. the total number of pennies equal to j dimes
B. the total number of feet equal to j inches
C. the total number of months in j years
D. the area of a rectangle with perimeter j
8. Matthew has M dollars in his bank account. Ashley has $63.46 more than one half of the amount in Matthew's
account. Which of the following expressions can be used to find the amount of money in Ashley's account?
A. $126.92
B. 1/ M + $63.46
2
C. 2M + $63.46
D. 1/2M - $63.46
9. Which of the following equations matches the statement below?
9 more than twice a number is 13.
A. 2x + 9 = 13
B. 2x = 13
C. 9x + 2 = 13
D. 2x - 9 = 13
10. Which of the following equations matches the statement below?
2 less than the square of a number is 7.
A. 2x - 2 = 7
B. x2 - 2 = 7
C. (x - 2)2 = 7
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D. x2 = 7
11.
3 + N/7 = 7
Which of the following sentences represents the equation above?
A. Seven increased by the quotient of a number and 3 is 7.
B. Three decreased by the quotient of a number and 7 is 7.
C. Three increased by the quotient of a number and 7 is 7.
D. Three increased by the product of a number and 7 is 7.
12. What problem situation best fits the equation?
y = 789.9 + 241.08
A. What is y, the area of rectangle with width 789.9 and height 241.08?
B. What is y, the total amount spent buying a computer for $789.90 and a monitor for $241.08?
C. What is y, the total number of days in 789.9 seconds and 241.08 minutes?
D. What is y, the radius of a circle with area 789.9 cm2 and perimeter 241.08 cm?
13. Which of the following expressions represents the statement below?
five more than the product of a number and 8
A. 8N + 5
B. 5N + 8
C. 8N - a
D. N/8 + 5
14. Which of the following situations could be represented by the expression below?
t + t + 5 + 2(t + 5)
A. The expression could represent the sum of Kathleen's trumpet practice time of t hours, Tyler's practice time
which is 5 hours less than Kathleen's, and Miles' practice time which is 1/ of Tyler's time.
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B. The expression could represent the sum of Kathleen's trumpet practice time of t hours, Tyler's practice time
which is 5 hours less than Kathleen's, and Miles' practice time which is 2 times as many hours as Tyler's.
C. The expression could represent the sum of Kathleen's trumpet practice time of t hours, Tyler's practice time
which is 2 hours less than Kathleen's, and Miles' practice time which is 5 times as many hours as Tyler's.
D. The expression could represent the sum of Kathleen's trumpet practice time of t hours, Tyler's practice time
which is 5 hours more than Kathleen's, and Miles' practice time which is 2 times as many hours as Tyler's.
15. In the equation below, what can z best be described as?
z = 24 × 7 × j
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A. the total number of days equal to j years
B. the perimeter of a triangle with sides 24, 7, and j
C. the total number of hours in j weeks
D. the total number of gallons equal to j ounces
16. Which of the following expressions represents the statement below?
six minus the square of a number
A. 6 - N2
B. 6 + N2
C. (6 - N)2
D. 6 -
N
17. Cathy is building a rectangular patio, and the length is 3 feet longer than the width. If she wants the perimeter
to be 38 feet, which of the following equations could be used to find the width of the patio?
(Let W = width of the patio in feet and L = length of the patio in feet.)
A. 2W + 2(W + 3 ft.) = 38 ft.
B. 2W + 2W = 38 ft.
C. 2(W + 3 ft.) + 2(W + 3 ft.) = 38 ft.
D. 2W + 2(W - 3 ft.) = 38 ft.
18. Which equation represents the following sentence?
Twenty-three is equal to the difference between
three and one third of a number.
A. 23 = 3 - (1/3)n
B. 23 = (1/ )n - 3
3
C. 23 - (1/ )n = 3
3
D. 23 = -3 + (1/ )n
3
19. Translate the following mathematical expression into a written expression.
(a - b)
A. "the square root of the sum of a and b"
B. "the square of the difference of a and b"
C. "the square root of the difference of a and b"
D. "the square root of the product of a and b"
20. Translate the following mathematical expression into a written expression.
2
2
(c × d )
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(c 2 × d2)
A. "the difference of the sum of c and d"
B. "the square of the sum of c and d"
C. "the product of c squared and d squared"
D. "the sum of c squared and d squared"
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