ACAP Grade 7 Math

Required

1

Jeremy swims at a rate of \frac{1}{3} mile every \frac{1}{6} hour. At this rate, how many miles will Jeremy swim in 1 hour?

Required

1

A student used a 30% off coupon to buy a jacket. There was no tax. The student paid $67.34. What was the original price of the jacket?

Required

1

A teacher buys a picture for the library. The teacher pays 10.5% sales tax on the original price of the picture. The original price of the picture is $72.00. What is the amount of tax the teacher pays, in dollars, for the picture?

Required

1

Which expression is equivalent to -8+(-2)?

Required

1

Select the two fractions that are equivalent to -\frac{1}{4}.

Required

1

Celine has 144 star stickers on her notebook.

• She earned \frac{3}{4}​ of the stars for completing her homework on time.
• She earned \frac{1}{2}​ of the remaining stars for getting her homework entirely correct.

Use the drop-down menus to create an expression that represents the number of stars Celine earned for getting her homework entirely correct.

__________ (144 − __________ ∙ __________)

Required

1

Select the two expressions that are equivalent to -4.5-2(3x-4).

Required

1

Cole hangs 2 paintings, each with a width of 25.2 inches, at the same height on a wall that measures 172 inches across. He hangs the paintings so that the distance between the paintings and the distances from each painting to the edge of the wall are the same. What is the distance, in inches, between one edge of the wall and the closest edge of one of the paintings?

Required

1

Kate is training for a race. Her goal is to run at least 20 miles this week. She has already run 8 miles and will run on 4 more days this week. She will run the same number of miles each of the 4 days. Which inequality shows all the possible numbers of miles, 𝑥, that Kate could run on each of the 4 days to reach her goal?

Required

1

The tree diagram shows all the possibilities when a coin is flipped and then a number cube is rolled.

What is the probability of the coin flip resulting in tails and the number cube roll resulting in an even number?

Required

1

A bag contains 20 different pieces of paper. One piece of paper is randomly drawn, not replaced, and then another piece of paper is randomly drawn. How many unique outcomes are in the sample space for this situation?

Required

1

A triangle has a right angle at the point shown on the coordinate plane. The triangle has side lengths of 3 units, 4 units, and 5 units. Draw the triangle on the coordinate plane.

Required

1

Angle 𝑋 and angle 𝑌 are complementary. The measure of angle 𝑌 is 75°. What is the measure, in degrees, of angle 𝑋?

Required

1

Jeremy swims at a rate of \frac{1}{3}​ mile every \frac{1}{6}​ hour. At this rate, how many miles will Jeremy swim in 1 hour?

A student used a 30% off coupon to buy a jacket. There was no tax. The student paid $67.34. What was the original price of the jacket?

A teacher buys a picture for the library. The teacher pays 10.5% sales tax on the original price of the picture. The original price of the picture is $72.00. What is the amount of tax the teacher pays, in dollars, for the picture?

Which expression is equivalent to -8+(-2)?

Select the two fractions that are equivalent to -\frac{1}{4}.

Select the two expressions that are equivalent to -4.5-2(3x-4).

The tree diagram shows all the possibilities when a coin is flipped and then a number cube is rolled.What is the probability of the coin flip resulting in tails and the number cube roll resulting in an even number?

A bag contains 20 different pieces of paper. One piece of paper is randomly drawn, not replaced, and then another piece of paper is randomly drawn. How many unique outcomes are in the sample space for this situation?

A triangle has a right angle at the point shown on the coordinate plane. The triangle has side lengths of 3 units, 4 units, and 5 units. Draw the triangle on the coordinate plane.

Angle 𝑋 and angle 𝑌 are complementary. The measure of angle 𝑌 is 75°. What is the measure, in degrees, of angle 𝑋?

A rectangular prism is shown.The volume of the prism is 150 cubic inches. What is the surface area, in square inches, of the prism?

Jeremy swims at a rate of \frac{1}{3} mile every \frac{1}{6} hour. At this rate, how many miles will Jeremy swim in 1 hour?

The tree diagram shows all the possibilities when a coin is flipped and then a number cube is rolled.

What is the probability of the coin flip resulting in tails and the number cube roll resulting in an even number?

A rectangular prism is shown.

The volume of the prism is 150 cubic inches. What is the surface area, in square inches, of the prism?