Ratios / Proportions
A map uses a scale of 1 inch = 10 miles. Two towns are 6 inches apart on the map. What is the actual distance?
(60 miles)
A x ft ladder is placed against a wall. The base of the ladder is 6 ft from the wall. It reaches 8 feet up the wall. Solve for x.
10
Simplify: (16x² + 5x − 7) + (9x² − 3x + 4)
A. 25x² − 8x − 3
B. 7x² + 2x − 3
C. 25x² + 2x − 3
D. 25x² + 8x − 3
c
A garden is 5 by 10 feet. I only want flowers to cover 80% of the garden. How much space am I planting in?
40
A bag has 5 red, 7 blue, and 8 green marbles. Two are drawn without replacement. What is P(red then blue)?
7/76
A delivery driver earns $432 for 36 deliveries. At the same rate, how much will the driver earn for 58 deliveries?
696
A rectangle is 9 meters long and 12 meters wide.
What is the length of the diagonal?
15
Multiply: (5x + 4)(2x − 3)
A. 10x² − 15x + 8x − 12
B. 10x² − 7x − 12
C. 10x² − 7x + 12
D. 10x² + 7x − 12
B
A tv is 80 by 80 inches long. What is the diagonal ?
113.13
A bag has 5 red, 7 blue, and 8 green marbles. Someone removed 4 blue. Two are drawn without replacement. What is P(red then blue)?
1/16
A bakery sells cookies: A dozen cookies costs $9.60
A customer buys 3 dozen cookies and 5 single cookies. What is the total cost?
32.8
A point moves 7 units horizontally and 24 units vertically from its starting point.
How far is it from the start?
25
10x² − 15x + 8x − 12 = 1850
A.12
B.13
C. 14
D. 15
14
A circular garden has radius 7 ft. What is the approximate area?
153.94
A spinner has 10 equal sections. Probability of landing on a 2 then a number greater than 6?
1/25
A factory worker earns $18 per hour. If the worker works 7 hours and 45 minutes, how much money do they earn in total?
139.50
A 20 ft ladder leans against a wall. The base is 9 feet away. How far up the wall does the ladder reach?
19.86
If y = 4x − 7, what is y when x = 9?
A. 28
B.31
C. 30
D. 29
D
A ladder is 29 ft long and placed 20 ft from a wall. How high does it reach?
21
A laptop costs $1,240. It is discounted by 18%, then a 7% sales tax is added to the discounted price. Finally, a $50 mail-in rebate is applied.
What is the final price?
1037.98
A map uses a scale of 5 cm = 36 miles. A route measures 18.5 cm on the map. Due to construction, the real route is increased by 12% after measurement. What is the final distance?
149.184
A rectangular garden is 15 ft by 20 ft. A person walks diagonally from one corner to the opposite corner.
How much shorter is the walk diagonally?
10 feet
If y = x² + 3x + 2, which ordered pair satisfies the equation?
A. (2, 10)
B. (3, 20)
C. (4, 30)
D. (5, 42)
B
A spinner has a diameter of 16 with 12 equal sections. How much space does section 3,4,and 5 make up?
50.265
After a 25% markup, a jacket sells for $112.
What was the original price?
a. 88.5
b. 89
c. 89.60
d. 90
C