Simplify Expressions
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
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
What is the solution to the equation 2(x + 2.4) = 6.4?
x = 1.2
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
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)
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
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
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.
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.
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