7th Grade Math Review

If x = 6, which inequality is true?

-5 -3 x > 10

Gabriel has these cans of soup in his kitchen cabinet. •2 cans of tomato soup •3 cans of chicken soup •2 cans of cheese soup •2 cans of potato soup •1 can of beef soup Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?

1/25

On Roberto's shelf are: •6 mystery books •5 science books •4 history books •3 adventure books Roberto will randomly choose 1 book to read. What is the probability that he will choose an adventure book?

1/6

Some doctors recommend that men drink 3 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters?

101

A music club has 15 members. Each member pays monthly dues of $14.60. On the first day of the month, 8 members paid their dues. The remaining members paid their dues on the second day of the month. How much money was collected in dues on the second day of the month?

102.20

A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back?

1120

Ms. Blankenship had $80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick cost $1.40, and each box of crayons cost $0.59. How much money did Ms. Blankenship have left after these purchases?

16.32

Ana drew a map of the Panama Canal. In the scale Ana used for the map, 4 centimeters represents 20 kilometers. The actual length of the Panama Canal is 82 kilometers. What is the length in centimeters of the Panama Canal on Ana's map?

16.4

Chloe is 5 feet 4 inches tall. There are 2.54 centimeters in 1 inch. What is Chloe's height in centimeters?

162.56

There are 40 houses in a neighborhood. • Company X provides electricity to 1/8 of t he houses. • Company Y provides electricity to 2/5 of the houses. • Company Z provides electricity to the remaining houses. In this neighborhood, Company Z provides electricity to —

19

If x = -6, which inequality is not true?

2 - x < 3

If x = 14, which equation is true?

2(x - 3) = 22

What is the solution to this equation? 30.16 = 17.56 + 5x

2.52

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag. What is the probability that Tara will select a blue marble from each bag?

2/27

The price of a television was reduced from $250 to $200. By what percentage was the price of the television reduced?

20

What is the value of x in this equation? 2x + 2 = 52

25

Jennifer painted a tabletop that is shaped like a circle. The circumference of the tabletop is 6pi feet. Which measurement is closest to the area of the tabletop in square feet?

28.26

If x = 10, which equation is true?

2x - 3 = 17

If x = 0, which equation is true?

2x = 0

If x = 5, which equation is true?

3(20 - x) = 45

A refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollars and cents?

31.53

A bag contains: •5 red marbles •6 blue marbles •3 green marbles •4 black marbles •2 yellow marbles A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?

35

Walter and Brian each have a CD collection. •The number of CDs in Walter's collection can be represented by x. •The number of CDs in Brian's collection is 3 times the number in Walter's collection. •The total number of CDs in both collections is 144. What is x, the number of CDs in Walter's collection?

36

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

3h + 2 ≤ 14

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality cannot be used to find h, the number of hot dogs that Jeff could have bought?

3h + 2 ≥ 14

An isosceles triangle has base angles that each measure 42°. Which equation cannot be used to find z, the measure of the third angle of this isosceles triangle in degrees?

42 + z = 180

At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, if 700 students were at the assembly, how many students could be expected to be carrying a backpack?

490

Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin's model?

6.04

A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the circumference of the circle in meters?

69.08

Yvette uses 6 grams of tea leaves to make 24 fluid ounces of tea. Last week she made 288 fluid ounces of tea. How many grams of tea leaves did Yvette use to make tea last week?

72

A storage container is shaped like a rectangular prism. The volume of the container is 1,360 cubic feet. The area of the base of the container is 160 square feet. What is the height of the container in feet?

8.5

Tareq pays $22.10 for 2.6 pounds of salmon. What is the price per pound of the salmon?

8.50

An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees?

84 + Z= 180

A doctor has an annual income of $152,125. The income tax the doctor has to pay is 6%. What is the amount of income tax in dollars and cents that the doctor has to pay?

9127.5

Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35. The stores are each having a sale. •Store X is offering 15% off the price of the shoes. •Store Y is offering $5 off the price of the shoes. •Store Z is offering a discount 1/5 off the price of the shoes. Which statement about the sale price of these shoes is not true?

Store X has the best sale price of $20.

Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35. The stores are each having a sale. •Store X is offering 15% off the price of the shoes. •Store Y is offering $5 off the price of the shoes. •Store Z is offering a discount 1/5 off the price of the shoes. Which statement about the sale price of these shoes is true?

Store Z has the best sale price of $28.

The model represents an inequality. What is the solution set for the inequality?

x ≤ -5

A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars?

y = 12x + 165

A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equation cannot be used to find y, the total cost of the trip, if x represents the number of miles of the trip?

y = 2.65(x + 2.50)

A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equation can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?

y = 2.65x + 2.50