Unit 6 Lesson 1 Cumulative Practice Problems

Here is an equation: x + 4 = 17. Which part of the diagram shows the quantity x?

• x is the unknown quantity that when added to 4 gives 17

• x is the number 4

• x is the number 17

• x is not part of the equation

Here is an equation: x + 4 = 17. How does the diagram show that x + 4 has the same value as 17?

• By showing a balance scale with x + 4 on one side and 17 on the other, both balanced.

• By illustrating a number line where x + 4 and 17 are at the same point.

• By depicting a pie chart with equal sections for x + 4 and 17.

• By presenting a bar graph with equal heights for x + 4 and 17.

Diego is trying to find the value of x in 5 • x = 35. He draws this diagram but is not certain how to proceed. What is the value of x?

• 5

• 6

• 7

• 8

Diego is trying to find the value of x in 5 • x = 35. He draws this diagram but is not certain how to proceed. Find the value of x.

• x = 7.

• x = 5.

• x = 6.

• x = 8.

For each equation, draw a tape diagram and find the unknown value. a. x + 9 = 16

• x + 9 = 16

• x + 7 = 16

• x + 5 = 16

• x + 11 = 16

For each equation, draw a tape diagram and find the unknown value. b. 4 ⋅ x = 28

• 4 ⋅ x = 28

• 4 + x = 28

• 4 - x = 28

• 4 / x = 28