Grade 7 Unit 6: Mid-Unit Assessment (A)

Select all the situations that can be represented by the tape diagram (1 point).

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

• D. There are 5 bags that each contain 4 large marbles and the same number of small marbles. Altogether, the bags contain 99 marbles.

• E. Han 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. Han uses a total of 99 teaspoons of sugar.

At practice, Mai does twice as many push-ups as Noah, and she also does 40 jumping jacks. Mai does 62 exercises in total. The equation 2x+40=62 represents this situation. What does the variable x represent?

• the number of jumping jacks Mai does

• the number of push-ups Mai does

• the number of jumping jacks Noah does

• the number of push-ups Noah does

What is the value of x in the equation 25 - 3x = 40?

• x = -5

• x = 5

• x = -15

• x = 15

What is the value of x in the equation 2x + 10 = 30?

• x = 20

• x = 40

• x = 10

• x = 5

• x = -2

• x = -1

• x = 1

• x = -1/3

• Multiplying both sides by 4

• Subtracting 12 from both sides

• Dividing both sides by 4

• Adding 12 to both sides

• 349 + 3d = 1789

• 349 + d = 1789

• 3(349 + d) = 1789

• 349d = 1789

• $480

• $480 for each team

• $480 for all teams

• $480 for each shirt

Here are two situations. Write an equation to represent each situation. If you get stuck, consider drawing a diagram. There are 4 trucks that are loaded with food. Altogether, 64 pounds of food were loaded. Each truck was loaded with a 7-pound bag of beans. A bag of rice weighing r pounds was also put in each truck. Write an equation to represent this situation (1 point)

• 4(7 + r) = 64

• 4(7 + r) = 68

• 4(7 + r) = 60

• 4(7 + r) = 72

Here are two situations. Write an equation to represent each situation. If you get stuck, consider drawing a diagram. A truck was loaded with a 7-pound bag of beans. Then 4 bags of rice, each weighing r pounds was loaded. In all, 64 pounds of food are in the truck. Write an equation to represent this situation. (1 point)

• 7 + 4r = 64

• 7r + 4 = 64

• 4 + 7r = 64

• 4r + 7 = 64