Distributive Property

Solving Proportions Word Problems

Multiple Choice

A machine can process 2.5 pages in 10 minutes. How many pages can it process in 36 minutes?

a) Which unit is the question requesting?

• minutes

• pages

Multiple Choice

A machine can process 2.5 pages in 10 minutes. How many pages can it process in 36 minutes

b) Which ratio describes the unit rate?

• 2.5 pages / 10 minutes

• 10 minutes / 2.5 pages

• 36 pages / 2.5 minutes

• 2.5 pages / 36 minutes

Math Response

A machine can process 2.5 pages in 10 minutes. How many pages can it process in 36 minutes?

c) What is the unit rate?

Type answer here

Correct Answer: 0.25

Deg^°

Rad

Math Response

A machine can process 2.5 pages in 10 minutes. How many pages can it process in 36 minutes?

Type answer here

Correct Answer: 9

Deg^°

Rad

​Distributive Property

By Christopher Jarrett

To distribute means to share. Sharing requires that everyone in the group gets the same thing.

In math, we're multiply to share the term outside the parenthesis with everything inside.

Multiple Choice

Which term is being distributed in the expression 2(3x+4)?

• 2

• 3x

• 4

Multiple Choice

Which is the best way to distribute the expression 2(3x+4)?

• 2*3x*4

• 2(3x) + 2(4)

• 3x + 2(4)

• 2(3x) + 4

Math Response

Use the distributive property to evaluate
2(3x+4)

Type answer here

Correct Answer: 6x+8

Deg^°

Rad

Math Response

Use the distributive property to evaluate
2(4x+3)

Type answer here

Correct Answer: 8x+6

Deg^°

Rad

Math Response

Use the distributive property to evaluate
3(4x+2)

Type answer here

Correct Answer: 12x+6

Deg^°

Rad

Math Response

Use the distributive property to evaluate
(4x+3)2

Type answer here

Correct Answer: 8x+6

Deg^°

Rad

Math Response

Use the distributive property to evaluate
(3x+4)2

Type answer here

Correct Answer: 6x+8

Deg^°

Rad

Math Response

Use the distributive property to evaluate
4(3x+2)

Type answer here

Correct Answer: 12x+8

Deg^°

Rad

Math Response

Use the distributive property to evaluate
(4x+2)3

Type answer here

Correct Answer: 12x+6

Deg^°

Rad

Mastery Peak

IXL 7-S.5 Multiply using the distributive property

Standards Practice
7.AR.1.2 (Pg. 13-14)

Multiple Choice

MA.7.AR.1.2 #7

• yes

• no

Multiple Choice

MA.7.AR.1.2 #9

• Yes

• No

Hotspot

MA.7.AR.1.2 #12

Math Response

MA.7.AR.1.2 #4

Type answer here

Correct Answer: -0.9

Deg^°

Rad

PM2 Review
7.AR.1.1 (Pg. 11-12)

Math Response

MA.7.AR.1.1 #1

Type answer here

Correct Answer: \frac{5}{7}x+2

Deg^°

Rad

Math Response

MA.7.AR.1.1 #2

Type answer here

Correct Answer: \frac{1}{5}k+3

Deg^°

Rad

Math Response

MA.7.AR.1.1 #6

Type answer here

Correct Answer: \frac{7}{9}

Deg^°

Rad

Match

MA.7.AR.1.1 #13

• $$\left(-\frac{7}{2}x+5\right)+\left(\frac{11}{2}x-4\right)$$

• $$\left(1.5+4x\right)-\left(-7.5+2x\right)$$

• $$\left(-6.5x+4\right)-\left(-11.5x-8\right)$$

• $$\left(\frac{7}{4}x-\frac{3}{4}\right)+\left(\frac{13}{4}x-\frac{5}{4}\right)$$

2x+1

2x+9

5x+12

5x-2

• 2x+1

• 2x+9

• 5x+12

• 5x-2