Ratios and Proportions
Chris is trimming trees. He can trim 2/3 of a tree in 30 minutes. What is Chris's rate for trimming trees in trees per hour?
A. 1/45
B. 1/3
C. 3/4
D. 4/3
D. 4/3
In which of these situations would the answer to the question be 5?
A. Jacob drove 8 miles to the grocery store, then drove back 3 miles to his grandmother's house. How many miles did Jacob drive?
B. Lindsay started at her house and ran 2.5 miles. She finished running where she started at her house. In miles, how far did Lindsay run?
C. Tom flew 39 miles north from the runway. He turned around and flew 34 miles south back to the runway and landed. How far away, in miles, from the runway is Tom?
D. The wind blew a sailboat 6 miles off course. The captain steers the boat in the right direction to get back on course. How far off course in miles is the boat?
C. Tom flew 39 miles north from the runway. He turned around and flew 34 miles south back to the runway and landed. How far away, in miles, from the runway is Tom?
Which of the expressions below is equivalent to –3.5 x + 3.5 – x + 6.25 ?
A. –4.5 x + 9.75
B. –2.5 x + 9.75
C. –2.5 x – 2.75
D. –4.5 x – 2.75
A. –4.5 x + 9.75
A wall map has a scale of 128 miles = 6 inches. The distance between Springfield and Lakeview is 2 feet on the map. What is the actual distance between Springfield and Lakeview?
A. 1.13 miles
B. 42.7 miles
C. 384 miles
D. 512 miles
D. 512 miles
A factory makes pizza boxes using 8 cutting machines. Each machine cuts 12 boxes every 3/4 minute. How many boxes can all 8 machines cut in one minute?
A. 16 boxes
B. 72 boxes
C. 120 boxes
D. 128 boxes
D. 128
What is the distance between -24 and -16.5 on a number line?
A. -8.5 units
B. -7.5 units
C. 7.5 units
D. 8.5 units
C. 7.5 units
Which of the following expressions is equivalent to: –0.25(12 y+ 4)?
A. 11.75y + 4
B. –3y – 1
C. 11.75y + 3.75
D. –3y – 4
B. –3y – 1
The yearbook staff enlarges a picture with a length of 5 inches and a width of 7 inches by a scale factor of 3. The staff decides the enlarged picture is too large and reduces it by a scale factor of 0.5. Will the final image of the picture fit in an area of 80 square inches?
A. Yes, the area of the picture is 35 square inches.
B. Yes, the area of the picture is 78.75 square inches.
C. No, the area of the picture is 157.5 square inches.
D. No, the area of the picture is 315 square inches.
B. Yes, the area of the picture is 78.75 square inches.
Stacy finds a shirt that costs $43.00 on sale for 30% off the regular price. How much will the shirt cost before tax?
A. $12.90
B. $13.00
C. $30.10
D. $42.70
C. 30.10
Kylon was keeping track of the total yardage for three downs in a football game. He modeled the situation using the expression 9 + (–3) – 2.
Which statement best describes this expression?
9 + (-3) - 2
A. The team gained 9 yards on first down, gained three yards on second down, and lost two yards on third down.
B. The team gained 9 yards on first down, lost three yards on second down, and lost two yards on third down.
C. The team gained 9 yards on first down, gained three yards on second down, and gained two yards on third down.
D. The team gained 9 yards on first down, lost three yards on second down, and gained two yards on third down.
B. The team gained 9 yards on first down, lost three yards on second down, and lost two yards on third down.
Simplify the expression below.
-4(3p) + p
A. -11p
B. -13p
C. -16p
D. -12 + p
A. -11p
The distance from New Orleans to Nashville is 4.5 centimeters on a map. The actual distance between the cities is about 450 miles. Which scale is on the map?
A. 1 centimeter = 10 miles
B. 1 centimeter = 100 miles
C. 10 centimeters = 1 mile
D. 100 centimeters = 1 mile
B. 1 centimeter = 100 miles
Jory’s motorcycle travels at a constant rate of 18 miles in 45 minutes. What is the rate, in miles per hour, that Jory is traveling?
A. 13
B. 18
C. 24
D. 26
C. 24
Jaya has a bank account that she started with an initial deposit of $250. Yesterday she deposited a check for $125 then withdrew $75 in cash. Which equation can be used to model Jaya's bank transactions?
A. 250 + 125 + 75 = 450
B. -250 + 125 - 75 = -200
C. 250 + ( - 125) + ( - 75) = 50
D. 250 + 125 + ( - 75) = 300
D. 250 + 125 + ( - 75) = 300
Melissa is playing a trivia game. After 2 rounds of play, Melissa has -20 points. In the remaining rounds, she answers 7 questions correctly and 1 question incorrectly.
*Each correct answer is worth +25 points.
*Each incorrect answer is worth -10 points.
What is Melissa's final score?
A. 100 points
B. 145 points
C. 165 points
D. 205 points
C. 165 points
A nail has a circular head with a diameter of 0.40 centimeters. What is the area of the nail’s head, rounded to the nearest hundredth of a square centimeter?
A. 0.13 square centimeter
B. 0.40 square centimeter
C. 0.50 square centimeter
D. 0.63 square centimeter
A. 0.13 square centimeter
An electronics store paid $51.94 for a DVD player. To make a profit, the store charges the customer 154% of their cost. What does the store charge customers for the DVD player?
A. $28.05
B. $33.73
C. $79.99
D. $96.19
C. $79.99
The hottest day ever recorded in Louisiana was in Plain Dealing on August 10, 1936, where the afternoon thermometer read 114. Over the next 6 hours, the temperature changed an average of -7.5 per hour. Which statement correctly
describes the change in temperature from the beginning to the end of the six-hour period?
A. The temperature increased 1.25.
B. The temperature decreased 1.25.
C. The temperature increased 45.
D. The temperature decreased 45.
D. The temperature decreased 45.
Holly and Mark plan to use their holiday bonuses to buy a used car for $3,300. Holly’s bonus is 62% of the car’s price. Mark’s bonus is 0.54 of the car’s price. What is the total amount of the bonuses Holly and Mark will receive?
A. $2,046.00
B. $2,063.82
C. $3,828.00
D. $5,322.58
C. $3,828.00
The radius of circle P is 24 centimeters. The radius of circle Q is 8 centimeters. Which statement correctly compares the area of circle P with the area of circle Q?
A. The area of circle P is 3 times the area of circle Q.
B. The area of circle P is 6 times the area of circle Q.
C. The area of circle P is 9 times the area of circle Q.
D. The area of circle P is 12 times the area of circle Q.
C. The area of circle P is 9 times the area of circle Q.