Equations
Which of these can be written as an equation?
A. Four is greater than twice b
B. Half the product of three and k
C. Five times a is 40
D. Three times 2 plus j
C. Five times a is 40
Which expression is equivalent to 40 ÷ (x + 4)?
A. (x + 4) ÷ 40
B. (4 ÷ 40) + x
C. 40 ÷ (4 + x)
D. 40 ÷ 4 + 40 ÷ x
C. 40 ÷ (4 + x)
The area of a rectangle is 66.5 square inches. The base of the rectangle is 7 inches. What is the height of the rectangle in inches?
A. 318.5 in.
B. 38.5 in.
C. 15.75 in.
D. 9.5 in.
D. 9.5 in.
The area of a rectangle is 66.5 square inches. The base of the rectangle is 7 inches. What is the height of the rectangle in inches?
A. 318.5 in.
B. 38.5 in.
C. 15.75 in.
D. 9.5 in.
D. 9.5 in.
Which expression is equivalent to (4 ⋅ m) + 6?
A. 4 ⋅ (m+6)
B. 6 - (4 ⋅ m)
C. 4 + 6 ⋅ m
D. 6 + (m ⋅ 4)
D. 6 + (m ⋅ 4)
What value is equivalent to 3^4 – 2^3 ⋅ (5-2) – 78
A. -3
B. -66
C. 159
D. -21
D. -21
After 4 students left a class, the class had 32 students. Which equation can be used to find n, the number of students in the class before the 4 students left?
A. 𝑛/4 = 32
B. n - 4 = 32
C. 4n = 32
D. n + 4 = 32
D. n + 4 = 32
What value of x makes this equation true? -110 = -100 + x
A. -10
B. 10
C. 100
D. -100
A. -10
Shea wrote the expression 7(y+3)+5 to show the amount of money five friends paid for snacks at a baseball game. Which expression is equivalent to the one Shea wrote?
A. 7 ⋅ y ⋅ 4 + 5 ⋅ 2 ⋅ 4
B. 7 ⋅ y + 7 ⋅ 3 + 5
C. 7 + y + 7 + 3 + 5
D. 7 ⋅ y ⋅ 7 ⋅ 3 + 5
B. 7 ⋅ y + 7 ⋅ 3 + 5
Leon wrote an expression that is equivalent to (40 + 8) ÷ 12. Which expression could be the one Leon wrote?
A. (3 ⋅ 2 ⋅ 4) ÷ 4 ⋅ 3
B. (4 ⋅ 2 ⋅ 2 ⋅ 3) ÷ (3 ⋅ 2 ⋅ 2)
C. 5 ⋅ 8 + 2 ⋅ 4 ÷ 3 ⋅ 2 ⋅ 2
D. 48 ÷ 3 ⋅ 4
B. (4 ⋅ 2 ⋅ 2 ⋅ 3) ÷ (3 ⋅ 2 ⋅ 2)
Which equation has a solution of k = -6.5
A. -3k = 22.5
B. -1 + k = 7.5
C. -7k = -45.5
D. -2 + k = -8.5
D. -2 + k = -8.5
Which expression is equivalent to 40 ÷ (x + 4)?
A. (x + 4) ÷ 40
B. (4 ÷ 40) + x
C. 40 ÷ (4 + x)
D. 40 ÷ 4 + 40 ÷ x
C. 40 ÷ (4 + x)
Which expression is equivalent to y ⋅ 24?
A. (y ⋅ 20) + (y ⋅ 4)
B. (y ⋅ 2) + 4
C. (y ⋅ 20) + 4
D. (y ⋅ 2) ⋅ 4
A. (y ⋅ 20) + (y ⋅ 4)
Keith wrote the expression shown to determine the cost in dollars for an upcoming trip.
(129.50 – 22.50) + 2(84.5 + 7)
A. 105 (91.50)
B. 109 (91.50)
C. 107 + 263.50
D. 107 + 2 (91.50)
D. 107 + 2 (91.50)
Which equation has a solution of 3/2 for n?
A. n – 1 = 1/3
B. 16n = 24
C. 15n = 10
D. 1 1/3 + n = 3
B. 16n = 24
Which situation cannot be represented by the equation x + 10 = 45?
A. Marissa spent $45 on a hat and shirt. The hat cost $10. What is x, the cost of the shirt in dollars?
B. Nicholas rode his bike 45 miles last week. He rode 10 miles on Tuesday and the rest of the miles on Wednesday. What is x, the number of miles Nicholas rode his bike on Wednesday?
C. Two players scored a total of 45 points in a game. One player scored 10 points. What is x, the number of points scored by the other player?
D. There are 45 students in a group. There are also 10 adults in the group. What is x, the total number of students and adults in the group?
D. There are 45 students in a group. There are also 10 adults in the group. What is x, the total number of students and adults in the group?
Which expression is equivalent to 3(4 + 3) – 2 ⋅ 8²?
A. 12 + 9 – 32
B. 15 – (16)²
C. 3(7) - 2 ⋅ 64
D. 13 ⋅ 64
C. 3(7) - 2 ⋅ 64
Which expression is equivalent to 8 + 6 ⋅ 12?
A. 2^4 + 2^3 ⋅ 3²
B. 2^3 + 2^3 ⋅ 3²
C. 2^4 + 2^2 ⋅ 3^3
D. 2^3 + 2^2 ⋅ 3^3
A. 2^4 + 2^3 ⋅ 3²
Which two expressions are equivalent?
A. (18 ÷ y) + 10 and 10 + (y ÷ 18)
B. 12 – (y ⋅ 2) and 12 – (2 ⋅ y)
C. 4 + (3 ⋅ y) and (4 + 3) ⋅ y
D. (10 – 6) ÷ y and 10 – (6 ÷ y)
B. 12 – (y ⋅ 2) and 12 – (2 ⋅ y)
Which situation could be represented by the equation 10.75 = 5.5n?
A. Ricardo ran 5.5 miles. He ran each mile in 10. 75 minutes. What is n, the total number of minutes it took Ricardo to run 5.5 miles?
B. Ricardo ran a total of 10.75 miles on Monday. He ran 5.5 miles in the morning and the rest of the miles in the evening. What is n, the number of miles Ricardo ran in the evening?
C. Ricardo ran a total of 10.75 miles. He ran 5.5 miles each hour. What is n, the number of hours Ricardo ran?
D. Ricardo ran 10.75 hours one week and 5.5 hours the next week. What is n, the total number of hours Ricardo ran during these weeks?
C. Ricardo ran a total of 10.75 miles. He ran 5.5 miles each hour. What is n, the number of hours Ricardo ran?