Fraction, Decimal, Percent
What is 0.15 as a fraction?
15/100 or 3/20
Solve -3x-11=4
x = -5
Sarah can run 3 miles in 24 minutes.
How long does it take her to run 1 mile?
8 minutes
A circle has a radius of 5 cm.
Find the area. Round to the hundredths place.
78.50 cm2
Combine like terms:
7a + 3b - a + 2b - 4a
2a + 5b
0.44
A group of friends went to the movies. They bought 4 tickets and spent $12 on snacks. If their total cost was $44, how much did each ticket cost?
4t + 12 = 44
Each ticket is $8
Is the following a proportional relationship?
2 tickets cost $26
3 tickets cost $39
4 tickets cost $52
Yes, $13 per ticket for all three rates.
A circle has a radius of 5 cm.
Find the circumference. Round to the hundredths place.
31.40 cm
Factor the expression: 12m + 18
6(2m+3)
A salesperson earns a 5% commission on their sales. If they sell $8,000 worth of merchandise, how much commission do they earn?
$400 in commission
A taxi charges a flat fee of $2.50 plus $2.00 per mile. If a passenger's total fare is $10.50, how many miles did the taxi travel?
2.50 + 2.00m = 10.50
Taxi traveled 4 miles
A graph shows the distance a car travels over time. The graph is a straight line that passes through the points (0, 0) and (2, 100).
Is the relationship between distance and time proportional? Explain.
Yes, the relationship is proportional. A straight line passing through the origin indicates a proportional relationship.
The diameter of a circular table is 6 feet.
What is the radius of the table?
3 feet.
Simplify: 5(3x + 2) - 7x
8x + 10
The price of a video game is $45. If the sales tax is 6%, what is the total cost of the video game?
$47.70
The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
2(6) + 2w = 54
width = 21cm
Is the following a proportional relationship?
$60 earned after 5 hours of work;
$84 earned after 7 hours of work;
$118 earned after 9 hours of work.
No not proportional because, rate is $12 per hour for 5 and 7 hours but $13.11 for 9 hours of work.
A baker is making a circular cake. The cake needs to be covered in frosting.
f the radius of the cake is 8 inches, what is the area of the top of the cake that needs to be frosted? Round to the hundredths place.
200.96 square inches
Simplify
-2(5x - 1) + 4x
-6x+2
A store buys a shirt for $15 and marks it UP by 40% to sell to customers. What is the selling price of the shirt?
$21
Sarah bought 3 books and a magazine. Each book cost the same amount. The magazine cost $5. If Sarah spent a total of $26, how much did each book cost?
3b + 5 = 26.
Each book cost $7.
A store sells notebooks for $3 each.
Write an equation to represent the relationship between the number of notebooks purchased (n) and the total cost (c).
c = 3n
A pizza has an area of 113.04 square inches.
Find the radius of the pizza.
6 inches
distribute:
-2(4a - 5b)
-8a+10b