Expressions and Equations
An artist uses the expression n(n+8) to calculate the area of a canvas, in square inches, with a width of n inches. What is the area of the canvas when the width is 12 inches?
160 inches2
23.86 − 12.397
11.463
What is 30% of 200?
60
A parent has 45 cookies to put into gift bags. If the parent fills 8 gift bags each with n number of cookies, create an expression that represents the number of cookies remaining after the parent fills the 8 gift bags?
45-8n
On a number line, point A is located at the opposite of -7. Which of the numbers are located on the opposite side of 0 from point A? Select all that apply.
0, -3, 3, 7, -5, -2
-3, -5, -2
What is the value of the expression 102 − (72 + 1) ÷ 5
90
3.1 x 12.25
37.975
A bouquet consists of only daisies and sunflowers. If the ratio of daisies to sunflowers in the bouquet is 6:7, what is the ratio of the number of sunflowers to the total number of flowers in the bouquet?
7:13
The student council set a goal of raising more than $500 in flower sales. So far it has raised $415. Write an inequality to show how many more dollars, d, the student council needs to raise to reach its goal.
d>85
What is /-20/?
20
Write a factored expression that is equivalent to 28+35?
7(4+5)
How many 1/4-pound burgers can be made from 32 1/4 pounds of ground beef?
129 burgers
A student spends $16 to buy 5 notebooks. At this rate, how much does 1 notebook cost?
$3.20
A painter charges $20 for every hour that he paints. Let h equal the number of hours he paints and e equal his earnings. Write an equation with both variables to represent the situation.
20h=e
What is the distance between (1,4) and (4,4)?
3 units
Which expression is equivalent to 4(q + 1)+ 7(q + 2)?
11q+18
A construction company buys a piece of property that is 12 1/2 acres. If the company plans to build houses that require 1/6 acre each, what is the maximum number of houses the construction company can build on the property?
75 houses
The combination to a safe has 4 numbers. The first number is the greatest common factor of 16 and 40. The second number is the greatest common factor of 25 and 75. The third number is the greatest common factor of 27 and 36. The fourth number is the greatest common factor of 44 and 98. Which statements are true?
A. the first number is 8
B. The second number is 25
C. The third number is 18
D. The fourth number is 2
A,B,D
The table shows the number of tickets, x, sold at a carnival and the amounts of money, y, in dollars collected for the tickets. Which equation represents the relationship between the tickets sold and money collected?
Number of Tickets Amount Collected ($)
5 $15
10 $30
15 $45
20 $60
25 $75
y=3x
Central Park is shaped like a rectangle. If two of the corners are at (-9,7) and (4,-3). What is the AREA of the park?
130 units2
Write an algebraic expression that matches this verbal expression: "The difference of 7 and a number, squared."
(7-n)2
An apple orchard sells 25,962 apples to 6 local markets. If the orchard sells the same number of apples to each market, how many apples does each market purchase?
4,327 apples
On Saturday, 60% of the visitors to the art museum were students. If 144 students visited the museum, how many total visitors did the art museum have on Saturday?
240 visitors
Which expression best represents the statement? "A number multiplied by 4 is subtracted from the difference of the same number and 65."
(x-65)-4x
What is the ordered pair for (-5,6) after it is reflected across the y-axis?
(5,6)