Unit 4 Check Your Readiness Review

1. Distributive Property
2. Combining Like Terms
3. One Step Equations
4. Word Problems

​Distributive Property

​Draw your arrows, then multiply.

You are able to keep up with what terms to multiply when using the distributive property when you draw your arrows FIRST.​

Take Away: ALWAYS, ALWAYS DRAW YOUR ARROWS FIRST!​

​Distributive Property

Multiple Choice

Which is equivalent to 5(a + 6)?

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Multiple Choice

2(4k + 7)

• 4k-9

• 4K+9

• 8k-14

• 8k+14

Multiple Choice

Simplify
14(b – 10).

• 4b
• b – 140
• 14b – 140
• 14b – 10

Multiple Choice

Simplify 5(2 - 7n)

• 52 - 57n

• 10 - 7n

• 10 - 35n

• 10 + 35n

2. Combining Like Terms 3. One Step Equations
4. Word Problems

w= water

b=burger

d=doritos

How many bottles of water do you have?

How many burgers did you order?

How many bags of doritos did you get?

So the expression to represent your items is....

How many bags of doritos did you get?

So the expression to represent your items is....

3w+2b+1d

Combining Like Terms

Multiple Choice

Simplify by combining like terms:

$$7b-3b+4f$$  

• 
  

  $$10b+4f$$  

• $$8b$$  

• $$4b-4f$$
  

• $$4b+4f$$   

Multiple Choice

Simplify by combining like terms:

$$7x+2y+9x+8$$  

• $$18xy+8$$  

• $$16x+2y+8$$  

• $$9xy+9x+8$$  

• $$16x+10y$$  

Multiple Choice

Simplify by combining like terms:

$$9x+7y+4x-11y+10x-8x$$  

• $$15x-3y$$  

• $$15x-4y$$  

• $$16x-4y$$  

• $$15x-5y$$  

Multiple Choice

Simplify by combining like terms:

$$7f+8g+4f+3f+6f+2g$$  

• $$20f+11g$$  

• $$21f+10g$$  

• $$20f+10g$$  

• $$22f+10g$$  

3. One Step Equations
4. Word Problems

One-Step Equations

Multiple Choice

What would be the best first step to solving the equation?
-3 = x + 5

• add 3 to both sides
• subtract 5 from both sides
• add 5 to both sides
• subtract -5 from both sides

Multiple Choice

x - 10 = 20

• x = 20/10
• x = 20
• x = 10
• x = 30

Multiple Choice

n - 4 = 12

• n = 16
• n = 8
• n = 4/12
• n = 12/4

Multiple Choice

$$\frac{x}{5}=20$$  

• 100

• 120

• 4

• 5

Multiple Choice

$$\frac{x}{4}=4$$  

• 4

• 16

• 20

• 1

Multiple Choice

x - 3 = 4

• 7

• -7

• 1

• -1

Multiple Choice

x - (-2) = 7

• -9

• -5

• 5

• 9

Multiple Choice

Which equation has x = 5 as the solution?

• x + 15 = 10
• 2x = 5
• 2x = 10

Multiple Choice

What would be the best first step to solving the equation in one step?

• multiply both sides by ³/₂ 
• divide both sides by 3
• multiply both sides by 3
• subtract ²/₃  from both sides

4. Word Problems

Multiple Choice

Choose the equation representing the situation.

Richard won 45 super bouncy balls playing the bean bag toss at the county fair.

At school, he gave three to every student in his math class.

He only has 3 remaining.

How many students are in his class?

• 45x - 3 = 9

• 45 - 3x = 3

• 3x - 3 = 45

• 3x + 45 = 3

Multiple Choice

Choose the equation representing the situation.

A family with 8 adults and 1 child went to the Cineplex 15 to watch the latest Marvel movie.

The family spent $94 on the tickets.

If the child's ticket was $6, what was the price of each adult ticket?

• $$8x+6=94$$  

• $$8x\ -\ 6\ =\ 94$$  

• $$6x\ +\ 8\ =\ 94$$  

• $$6x-8=94$$  

Multiple Choice

Choose the equation representing the situation.

Juan spent half of his weekly allowance on clothes.

To earn some extra money, he did extra chores at home and earned $12.

How much is his weekly allowance if he ended the week with $38?

• $$2x\ +\ 12=38$$  

• $$2x\ -\ 12=38$$  

• $$\frac{x}{2}+12=38$$  

• $$\frac{x}{2}-12=38$$  

Multiple Choice

Choose the equation representing the situation.

Rose has 3 packs of gum. She gives away 4 pieces to her friends.

After that, she has 26 pieces of gum left in all her packs.

How many pieces of gum are in each pack?

• $$3x+4=26$$  

• $$3x-4=26$$  

• $$4x+3=26$$  

• $$4x-3=26$$  

Fill in the Blank

A family with 8 adults and 1 child went to the Cineplex 15 to watch the latest Marvel movie.

The family spent $94 on the tickets.

If the child's ticket was $6, what was the price of each adult ticket?

Solve the equation.