Math 7 Unit 6: Mid-Unit Study Guide

This hanger is in balance. There are 2 labeled weights of 7 grams and 20 grams. The 3 circles each have the same weight. What is the weight of each circle, in grams?

• 9

• 13

Select all the expressions that are equivalent to the equation that describes the following situation.

Mrs. Jones deducts $2 from each of her 3 children's allowances this week because they didn't finish their chores. They then received a total of $90 in allowance.

• 3x = 96

• 3x - 6 = 90

• 3(x - 2) = 90

• 3x - 2 = 90

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

• 5 bags of marbles each contain 5 large marbles and the same number of small marbles. Altogether, the bags contain 135 marbles.

• Han is baking five batches of muffins. Each batch needs the same amount of sugar in the muffins, and each batch needs five extra teaspoons of sugar for the topping. Han uses a total of 135 teaspoons of sugar.

• Clare buys 5 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 135 flowers.

• Andre babysat 5 times this past month and earned the same amount each time. To thank him, the family gave him an extra $5 at the end of the month. Andre earned $135 from babysitting.

• A family of 5 drove to a concert. They paid $5 for parking, and all of their tickets was the same price. They paid $135 in total.

At practice, Diego does three times as many push-ups as Noah, and also 55 jumping jacks. He does 76 exercises in total. The equation 3x + 55 = 76 describes this situation. What does the x variable represent?

• The number of jumping jacks Diego does.

• The number of jumping jacks Noah does.

• The number of push-ups Diego does.

• The number of push-ups Noah does.

Solve the equation: 24 - 6x = 90.

• x = -11

• x = -10

• x = 11

• x = 10

• x = 5

• x = -5

• x = 35

• x = 20

Write an equation for the following situation: A food pantry is making packages. Each package weighs 70 pounds. Each package contains 5 identical bags of rice and an 8-pound bag of beans. If you get stuck, try drawing a diagram.

• 5r + 8 = 70

• 5r + 8 = 78

• 5r + 8 = 80

• 5r + 8 = 68

Solve the equation (from #7) equation for the following situation: A food pantry is making packages. Each package weighs 70 pounds. Each package contains 5 identical bags of rice and an 8-pound bag of beans. If you get stuck, try drawing a diagram.

• Each bag of rice weighs about 8 pounds.

• Each bag of rice weighs about 10 pounds.

• Each bag of rice weighs about 6 pounds.

• Each bag of rice weighs 12 pounds.

For a school fundraiser, Elena will make T-shirts. She will order T-shirts and print graphics on them. Elena must spend $299 on a printing machine and $3.75 per shirt for the blank shirts, ink, and other supplies.

• 20 shirts cost $445, 40 shirts cost $541, and 60 shirts cost $637

• 20 shirts cost $450, 40 shirts cost $550, and 60 shirts cost $650

• 20 shirts cost $75, 40 shirts cost $150, and 60 shirts cost $225

• None of the above

For a school fundraiser, Elena will make T-shirts. She will order T-shirts and print graphics on them. Elena must spend $299 on a printing machine and $3.75 per shirt for the blank shirts, ink, and other supplies. a. Write an expression for the cost of making n T-shirts.

• 299 + 3.75n

• 3.75 + 299n

• 299n + 3.75

• 3.75n + 299