Pre-Algebra 2.2 Test Review

​Pre-Algebra CRM 2.2 Test Review

​If the variable term (slope) is different on both, it has one solution.

​If both of the terms for each equation are the same, it has infinite solutions.

If the variable term (slope) is the same, but the constant (y-intercept) is different, it has no solution.​

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​Remember the rules! ---------->

Match

Match the following

• $$4r-3=-3+5r$$  

• $$\frac{1}{3}b+8.3=\frac{1}{3}b-8.3$$  

• $$7t-\frac{3}{8}=-\frac{3}{8}+7t$$  

One Solution

No Solution

Infinite Solutions

• One Solution

• No Solution

• Infinite Solutions

Match

Match the following

• $$6\left(4r+3\right)=8\left(3r+3\right)+2$$  

• $$6\left(4r+3\right)+6=8\left(3r+3\right)$$  

• $$6\left(2r+3\right)=8\left(2r+3\right)+2$$  

No Solution

Infinite Solutions

One Solution

• No Solution

• Infinite Solutions

• One Solution

​Follow the steps!

​

Distribute the 2

​

​Subtract 2x from both sides​

​

Subtract 23 from both sides

​

Divide both sides by 3​

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​

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Match

Match the following one-step equations with their answers

• $$2x=8$$  

• $$3+x=8$$  

• $$48=8x$$  

• $$\frac{x}{3}=3$$  

• $$x-12=-11$$  

4

5

6

9

1

• 4

• 5

• 6

• 9

• 1

Fill in the Blanks

$7x-2=12$  

Solve for x

Fill in the Blanks

$\frac{x+5}{4}=7$  

Solve for x

Fill in the Blanks

$4\left(-2k-8\right)=6\left(k+18\right)$  

Solve for x

Fill in the Blanks

$15f-23=2\left(4f+20\right)$  

Solve for x

Multiple Choice

$$-\frac{1}{2}b-9=-6-\frac{7}{2}b$$  

Solve for b

• This equation has Infinite Solutions

• This equation has No Solutions

• 1

• -2

Multiple Choice

 Solve for r

• This equation has Infinite Solutions

• This equation has No Solutions

• 2.6

• 1.2

Notice the order and reasoning behind the steps.​

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​Review the steps to the right

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Reorder

Put the steps in the correct order for the equation to the left

• Add 2 to both sides

• Multiply both sides by 4

• x=20

1

2

3

• 1
• 2
• 3

Reorder

Put the steps in the correct order to solve the equation to the left.

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Choice

A student wrote their steps to solving an equation on the right.

Between which two steps did the student make a mistake?

• Between step 1 and 2

• Between step 2 and 3

• Between step 3 and 4

• Between given and step 1