Ratios and Proportions
What ordered pair on a proportional graph represents the unit rate? (7.RP.A.2d)
(1,y) or (1,k)
Regular Season baseball tickets cost $15 and each playoff ticket costs $40. If you wanted to take 2 friends to the last regular season game and one friend to a playoff game, how much money would you need? (7.EE.B.3a)
$125
A designer builds a scale model of a house using the scale factor 1 ft=2.4 cm. If the actual height of a wall in the house is 8.25 feet, how tall is the corresponding wall in the scale model? (7.G.A.1)
19.80 cm
Paul and Denise want to collect data to find out where the 7th grade class should hold their end of the year picnic. Would surveying every 10th middle schooler that walks in the school be a good idea? (7.SP.A.1)
No, the 6th and 8th graders would not be helpful.
The temperature on Monday is -24 degress F. On Tuesday, it rises 24 degrees F. What is the temperature on Tuesday? (7.NS.A.1.a)
0 degrees
Ms. Allen wrote this equation on the board:
y=3.5x
What is the constant of proportionality in the equation? (7.RP.A.2c)
3.5
Sam has $22 to buy one binder and some packs of paper. One binder costs $4, and packs of paper cost $3 each. Write an inequality that can be used to find p, the number of packs of paper Sam can buy along with the binder. (7.EE.B.4b)
4+3p≤ 22
A triangle has an area of 16 square feet. The height is 8 feet. What is the length of the base? (7.G.B.5)
4 feet
Two data sets are below.
Company A: 22, 30, 31, 36, 38, 46, 49, 52
Company B: 48, 55, 67, 67, 69, 70, 75, 77
What is the difference between the means of the data sets? (7.SP.A.3)
28
No calculator: What is ¾ ÷ -⅓ ? (7.NS.A.2.c)
-9/4 or 2 1/4
In 1/2 minute, Tamara's car traveled 3/4 kilometer. What was the rate, in kilometers per minute, of Tamara's car? (7.RP.A.1)
1 1/2 kilometers per meter
If y-18=14, what is the value of 2(y+9)? (7.EE.B.3a)
82
Jamal has 2 straight sticks with lengths of 20 cm and 18 cm. Jamal searches for a third stick so that he can form a triangle. Which length of stick will allow Jamal to make a triangle? (7.G.A.2)
36
A ball pit has 40 red balls, 55 purple balls, 45 yellow balls, and 60 green balls. If one ball rolls out of the pit, what is the probability of that ball being red? Give your answer as a percent. (7.SP.C.7.a)
20%
Yoko pays $35.97 to download 3 albums on her phone. If each album costs the same, how much does 1 album cost to download? (7.NS.A.2.b)
$11.99
If a recipe uses 2 cups of flour for 1 1/2 cups of milk, how many cups of milk is needed for 8 cups of flour? (7.RP.A.3)
6 cups of milk
(7.EE.A.1) Simplify this expression:
-2(w-3)+5(6w+4)
28w+26
A unicycle wheel has a diameter of 24 inches. If the wheel revolves 3 times clockwise, approximately how far does the unicycle travel? Use 3.14 for pi. (7.G.B.3)
226.08 in
A total of 800 people register to participate in a race and receive a colored shirt. Aiden records the shirt color of 32 randomly selected people. 4 had red, 12 had yellow, 10 had purple, 6 had orange. Based on these results, what is the total number of participants expected to have a yellow shirt? (7.SP.A.2)
300
No calculator: Mario has a statue that consists of ⅒ tin and ¼ lead. The rest is made of copper. What fraction of the statue consists of copper? (7.NS.A.3)
13/20
If 80% of 120 students passed the test, and 1/4 of the students received an A on the test, how many students received an A? (7.RP.A.3)
24 students
The perimeter of a rectangle is 88 cm. The length is 12 cm and the width is ¾x +5 cm, what is the value of x? (7.EE.B.4a)
36
The angles of a triangle are x, 3x and 2x. What is the value of x? (7.G.B.4)
30
A store has cameras for the following prices: $50, $400, $405, $410, $420, $425, $450, $460, and $2500. Which measure of central tendency (mean, median or mode) is most appropriate to represent the cost of the digital cameras at the store? (Look for outliers) (7.SP.D.8)
Median
What is 2.68 as mixed number in simplest form? (7.NS.A.2.d)
2 17/25