Expressions
An expression is shown.
-3(x - 4)
Which expression is equivalent to the given expression?
A. -3x + 4
B. -3x - 4
C. -3x + 12
D. -3x - 12
C. -3x + 12
Select the two expressions equivalent to 6(x + 8).
A. 6x + 8
B. 6x + 14
C. 6x + 48
D. 2(3x + 7)
E. 2(3x + 24)
C. 6x + 48
E. 2(3x + 24)
Louis went to a movie with $20.00. The ticket cost $9.50, and he spent $2.75 on snacks. How much money did Louis have left over.
$7.75
Ricardo has a coupon for 25% off his purchase at a craft store. Which expression could Ricardo use to calculate his total cost when purchasing x dollars of craft supplies?
A. 0.25x
B. 0.75x
C. 1.00x
D. 1.25x
B. 0.75x
Make a wager based on your score.
Carter writes the expression 0.25x + 1.75y + 0.25y + 1.5xy. He wants to rewrite the expression by combining like terms. Which of the following are like terms.
A. 0.25x and 1.75y
B. 0.25x and 0.25y
C. 0.25x and 1.5xy
D. 1.75y and 0.25y
E. 1.75y and 1.5xy
F. 0.25y and 1.5xy
D. 1.75y and 0.25y
Kimmie has 140 trading cards. Bret has 60% more trading cards than Kimmie has. Which expression can be used to determine the number of trading cards that Bret has?
A. 140 * 1.6
B. 140 / 1.6
C. 140 * 0.6
D. 104 / 0.6
A. 140 * 1.6
Li put $75 into his savings account. The money was 1/3 of his paycheck. Which equation could be used to find the amount of money, p, in dollars, on his paycheck?
A. 75p = 1/3
B. 3p = 75
C. 75p = 3
D. 1/3p = 75
D. 1/3p = 75
An equation is shown.
2(x + 6) = 36
Which value of x makes the equation true?
A. 12
B. 15
C. 21
D. 24
A. 12
An expression is shown.
0.8(4x + 6y)
Select the two expressions that are equivalent to the given expression.
A. 0.8(6x + 4y)
B. 1.6(2x + 3y)
C. 1.6x (2x + 4y)
D. 3.2x + 4.8y
E. 4.8x + 6.8y
B. 1.6(2x + 3y)
D. 3.2x + 4.8y
Aaron buys 2 pairs of shorts that are on sale for 75% off. The original price for each pair of shorts was x dollars. Which expression can be used to represent the price, in dollars, Aaron pays for the 2 pairs of shorts?
A. 2.25x
B. 2x - 2(0.75)
C. 2(x - 0.25x)
D. 2(x - 0.75x)
D. 2(x - 0.75x)
What is the solution to the equation 1/2x - 4 = 12?
A. x = 4
B. x = 8
C. x = 16
D. x = 32
D. x = 32
Beverly rented a party room. The rental cost was $35 per hour plus a $50 cleanup fee. Her total bill was $155. Write an equation that can be used to determine the number of hours, h, Beverly rented the party room.
35h + 50 = 155
A club is selling cookies to earn money. The club is going to donate 1/4 of the money to charity and keep the rest. The total cookie sales are $367.20. Which expression could be used to determine the amount of money the club will keep?
A. 367.20 - 0.14(367.20)
B. 367.20 - 0.25(367.20)
C. 367.20 - 0.4(367.20)
D. 367.20 - 2.5(367.20)
B. 367.20 - 0.25(367.20)
Jacob buys a book and a magazine. The price of the book is x dollars. The price of the magazine is 8% less than the price of the book. Which expression can be used to determine the price, in dollars, of the magazine?
A. x + 0.8x
B. x - 0.8x
C. x + 0.08x
D. x - 0.08x
D. x - 0.08x
What is the solution to the equation 2(x + 2.4) = 6.4?
x = 1.2
Class X and class Y each have 20 students. They each keep track of the number of books each student reads in one month. The mean number of books read by the students in class X is 4.2 books. The mean number of books read by the students in class Y is 3.8 books. Select the two statements that are true.
A. Every student in class X read more books than any student in class Y.
B. The students in class X like reading more than the students in class Y.
C. The students in class X read longer books than the students in class Y.
D. On average, the students in class X read more books than the students in class Y.
E. The total number of books read by class X is more than the total number of books read by class Y.
D. On average, the students in class X read more books than the students in class Y.
E. The total number of books read by class X is more than the total number of books read by class Y.
Which expression is equivalent to -1/3(9 - 6x)?
A. 3 + 2x
B. 3 - 2x
C. -3 + 2x
D. -3 - 2x
C. -3 + 2x
Tim draws a square with side lengths of x feet. Select the two expressions that represent the perimeter, in feet, of Tim's square.
A. 4x
B. x4
C. x + 4
D. 4x + 4
E. x + x + x + x
A. 4x
E. x + x + x + x
Jorge wants to buy his father a gift that costs $32. He has already saved $18 for the gift. Jorge saves the same amount of money each week for the next 4 weeks. How much money, in dollars, will Jorge have to save each week to have exactly enough money to buy his father the gift?
$3. 50 per week
A library keeps track of the number of overdue items at the end of each month.
At the end of April, there were x overdue items.
At the end of May, the number of overdue items was 3% less than the number of overdue items at the end of April.
The expression x - 0.03x represents the number of overdue items at the end of May. Which sentence best explains how to simplify the expression that represents the number of overdue items at the end of May?
A. Combine x and 0.03x since they are like terms, by canceling out the x.
B. Combine x and 0.03x, since they are like terms, by subtracting 1 - 0.03 to find the new coefficient.
C. Factor out an x, since it appears in both terms, leaving 1 in the first term and 0.03x in the second term.
Factor out an x, since it appears in both terms, eliminating the first term and leaving 0.03 in the second term.
B. Combine x and 0.03x, since they are like terms, by subtracting 1 - 0.03 to find the new coefficient.