linear inequality word problem
The total cost, in dollars, to rent a surfboard consists of a $25 service fee and a $10 per hour rental fee. A person rents a surfboard for t hours and intends to spend a maximum of $75 to rent the surfboard. Which inequality represents this situation?
A) 10t ≤ 75
B) 10 + 25t ≤ 75
C) 25t ≤ 75
D) 25 + 10t ≤ 75
D) 25 + 10t ≤ 75
What is the perimeter, in inches, of a rectangle with a length of 4 inches and a width of 9 inches?
A) 13
B) 17
C) 22
D) 26
D) 26
−9x2 + 30x + c = 0
In the given equation, c is a constant. The equationhas exactly one solution. What is the value of c ?
A) 3
B) 0
C) −25
D) −53
C) −25
Which of the following expressions has a factor of x b + 2 , where b is a positive integer constant?
A) 3x2 + 7x + 14b
B) 3x2 + 28x + 14b
C) 3x2 + 42x + 14b
D) 3x2 + 49x + 14b
B) 3x2 + 28x + 14b
A student has $50 to spend at a movie theater. A ticket costs $12, and snacks cost $5 each. The student buys one ticket and sss snacks. Which inequality represents this situation?
A) 12 + 5s ≥ 50
B) 12 + 5s ≤ 50
C) 5s ≤ 12 + 50
D) 5s ≥ 50 − 12
B) 12 + 5s ≤ 50
GeometryA triangle has a base of 10 inches and a height of 6 inches. What is the area, in square inches?
A) 16
B) 30
C) 60
D) 120
B) 30
A rectangle has a length of 12 inches and a width of 7 inches. What is the area, in square inches?
A) 19
B) 38
C) 84
D) 168
C) 84
A trapezoid has bases of 8 inches and 12 inches, and a height of 5 inches. What is its area, in square inches?
A) 40
B) 50
C) 60
D) 100
B) 50
A phone company charges a $30 monthly fee plus $0.20 per text message. A customer wants the monthly bill to be no more than $50. Let ttt represent the number of text messages. Which inequality models this situation?
A) 30+0.20t ≤ 50
B) 30+0.20t ≥ 50
C) 0.20t ≤ 50
D) 30t+0.20 ≤ 50
A) 30+0.20t ≤ 50
A circle has a radius of 5 inches. What is the circumference of the circle in terms of π(pie)?
A) 5π
B) 10π
C) 20π
D) 25π
B) 10π
What is the sum of the interior angles, in degrees, of a hexagon?
A) 360
B) 540
C) 720
D) 900
C) 720
A cylinder has a radius of 3 inches and a height of 7 inches. What is its volume in terms of π (pi)?
A) 21π
B) 63π
C) 9π
D) 42π
B) 63π
A club has already raised $120 for a trip. They sell candles for $8 each and want to raise at least $300 total. Let ccc be the number of candles sold. Which inequality represents this situation?
A) 120+8c ≤ 300
B) 120+8c ≥ 300
C) 8c ≤ 300
D) 120c+8 ≥ 300
B) 120+8c ≥ 300
A right triangle has legs of 9 inches and 12 inches. What is the length of the hypotenuse, in inches?
A) 15
B) 18
C) 21
D) 25
A) 15
A right triangle has one acute angle measuring 45°. If the hypotenuse is 10 inches, what is the length of each leg?
A) 5
B) 5root2
C) 10root2
D) 20
B) 5root2
What is the distance between the points (2, 5) and (8, 9) in the coordinate plane?
A) 6
B) 8
C) 10
D) root 52
C) 10
An elevator can safely carry up to 1,000 pounds. There are already 4 people inside with a combined weight of 620 pounds. If each additional person weighs about 140 pounds, how many more people ppp can safely enter? Which inequality represents this situation?
A) 620+140p ≤ 1000
B) 620+140p ≥ 1000
C) 140p ≤ 620
D) 620p+140 ≤ 1000
A) 620+140p ≤ 1000
A rectangular prism has a length of 8 inches, a width of 3 inches, and a height of 5 inches. What is the volume, in cubic inches?
A) 40
B) 120
C) 135
D) 240
B) 120
A cube has edges of length 6 inches. What is the total surface area, in square inches?
A) 36
B) 72
C) 180
D) 216
D) 216
A central angle of a circle measures 72°. What fraction of the circle’s circumference does the intercepted arc represent?
A) 1/6
B) 1/5
C) 1/4
D) 1/3
B) 1/5