Math 7 Mid-Unit 6 Assessment

This hanger is in balance. There are two labeled weights of 4 grams and 12 grams. The three circles each have the same weight. What is the weight of each circle, in grams?

• ⅜

• 1

• ⁸/₃

• 8

Select all the situations that can be represented by the tape diagram. Choose (2) correct answers.

• Ava buys 4 bouquets, each with the same number of flowers. The florist puts an extra flower in each bouquet before she leaves. She leaves with a total of 99 flowers.

• Alli babysat 5 times this past month and earned the same amount each time. To thank her, the family gave her an extra $4 at the end of the month. Alli earned $99 from babysitting.

• Sadie's family of 5 drove to a concert. They paid $4 for parking, and all of their tickets were the same price. They paid $99 in total.

• Cora's 5 bags of marbles each contain 4 large marbles and the same number of small marbles. Altogether, the bags contain 99 marbles.

• Livi is baking five batches of muffins. Each batch needs the same amount of sugar in the muffins, and each batch needs four extra teaspoons of sugar for the topping. Livi uses 99 total teaspoons of sugar.

At tennis practice, Henry does twice as many push-ups as Shepard, and he also does 40 jumping jacks. He does 62 exercises in total. The equation 2x+40=62 describes this situation. What does the variable x represent?

• The number of jumping jacks Henry does

• The number of push-ups Henry does

• The number of jumping jacks Shepard does

• The number of push-ups Shepard does

Solve the equation.

25−3x=40

Solve the equation.

⅓ (x−10) = - 4

Which of the following are acceptable first steps when solving the equation:

¼ (x+12) = 2

Select all that apply. Choose (3) correct answers.

• subtract 12 from each side

• distribute the ¼

• divide each side by ¼

• multiply each side by 4

• subtract ¼ from each side

A student tried to solve this equation. What was his mistake?

• He tried to subtract 12 from each side from Step 1 to Step 2

• He multiplied each side by 4 from Step 2 to Step 3

• He didn't change the 1/4 to 0.25

• No mistake

A food pantry is making packages. Each package weighs 64 pounds. Scenario A: Suppose each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical. How much does each bag of rice weigh?

If you get stuck, try drawing a diagram.

• 16 pounds

• 9 pounds

• 17.75 pounds

• 14.25 pounds

A food pantry is making packages. Each package weighs 64 pounds. Scenario B: Suppose each package contains 4 identical bags of rice and a 7-pound bag of beans. How much does each bag of rice weigh?

If you get stuck, try drawing a diagram.

• 16 pounds

• 9 pounds

• 17.75 pounds

• 14.25 pounds

For a school fundraiser, Ava will make T-shirts. She will order T-shirts and print graphics on them. Ava must spend $349 on a printing machine and $4.80 per shirt for the blank shirts, ink, and other supplies. Complete the table giving the total cost Ava will spend to make 20 T-shirts.