Unit 1: Operations
The 17 students on the math team want to raise $483.62 to buy practice books. They have already raised $218.25. If each student raises the same amount, how much more money must each student raise?
$15.61
A model represents 2x + 5 = 11. What value of x makes the equations true?
3
Tommy has 3 dogs. Last month, he bought
5 pounds of dog food for $7.95
8 pounds of dog food for $12.72
and 15 pounds of dog food for $23.85
What is the constant cost of the dog food per pound?
$1.59
Claudia is making a gelatin dessert for a party. She plans on making 12 servings for every 5 people. If each pan Claudia uses to make the dessert holds 8 servings, what is the minimum number of these pans that she needs in order to make enough to feed 10 people?
3
A drawing of the Eiffel Tower in Paris used the scale show below
2 cm = 5 m
If the height of the tower in the drawing measured 120.4 cm, what is the actual height of the Eiffel Tower
301 meters
A scientist had a bottle that contained 56.6 mL of a solution. She used 3.2 mL of the solution for an experiment. Then she poured half the solution remaining in the bottle into a beaker. Finally, she poured 6mL of the solution remaining in the bottle into the test tube. How many mL of the solution remained in the bottle?
20.7 mL
Dominic used the equation below to find d, the amount in dollars he would spend on gasoline to drive a distance of m miles.
d = m/25 (3.5)
Based on this equation, how much would Dominic spend on gasoline to drive a distance of 180 miles?
$25.20
Tickets are on sale for a one-year pass to an adventure park. Each ticket sells for $65.50. What equation can be used to determine t, the total cost of n, the number of tickets purchased?
t = 65.50n
There are 176 slices of bread in 8 loaves. If there are the same number of slices in each loaf how many slices of bread are in 5 loaves?
110 slices
What is the volume of a triangular prism that has:
Lenght: 8 cm
width: 3 cm
height: 13 cm
156 cm3
At a restaurant, 42 people had breakfast on Saturday morning.
1/7 of the people ate eggs only
2/3 of the people ate both pancakes and eggs
The remaining people ate pancakes only
Which fraction represents the number of people who ate pancakes only?
4/21
A company conducts research to predict how a new advertisement affects sales of a product. The equation below can be used to determine n, the number of people who buy the product if r people read the advertisement.
n = 0.08r + 7, 400
If 7, 496 people bought the product last week, how many people read the advertisement?
1,200
A copy machine can make 250 copies in 4 minutes. Represent the constant rate of change in copies per minute.
62.5
Andy mows lawns to earn money while going to school. He charges $12 per hour plus an additional $8 to edge the sidewalk. Write an equation to represent the total amount Andy charges to mow and edge a lawn
y = 12x + 8
16.2 ft3
Mr. Stein is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr. Stein receive if he gives the cashier $20.00
$13.70
Solve for d, in the inequality 7d - 6 < 15
d < 3
Amanda increased the amount of protein she ate every day from 48g to 54 g. By what percentage did Amanda increase the amount of protein she eats?
12.5%
Bush Junior High School wants to maintain a 98% or higher attendance rate for the year. The campus has 900 enrolled students. On an average day, what is the required number of students who must be in attendance for the school to meet the goal?
882 students
Bob is a ringmaster of the circus. He stands inside a circular circus ring that has a diameter of 14 meters. What is the area of the ring to the nearest tenth of the square meter?
153.9 m2
Wendy had 35 tickets for games at a carnival. She used 1/5 of the tickets to play the ball-toss game. She then used 1/2 of the remaining tickets to play the ring game, in which she won 5 more tickets. How many tickets did Wendy have after playing these games?
19
Anita has a collection of postage stamps from different countries. She has one book that contains 35 stamps. She has a second book that has 7 stamps on each page. The equation below can be used to find t, the total number of postage stamps Anita has if the second book has p pages.
t = 35 + 7p
How many postage stamps does Anita have in all if the second book has 14 pages?
5.1333
After jumping into the water to a depth of 5 feet below the surface, a deep-sea diver continues to descend at a rate of 18 feet per minute. Write an equation to determine the depth, y, of the diver given the number of minutes, x, he has been diving.
y = -18x - 5
On average, a restaurant experiences a 4% cancellation rate on dinner reservations. If the restaurant has 400 dinner reservations, how many reservations can they expect to serve?
384 reservations
Valeria has a circular garden. The radius of the garden is 4 feet. She wants to buy edging to outline her circular garden. Which is closest to the circumference of the garden?
25 ft