Algebra 1 Review

Algebra Review

Let's See What You Remember!

Equations

Isolate the variable by using inverse operations.

Isolate = by itself

Variable = letter representing an unknown number

Inverse Operations = opposite (add/subtract or multiply/divide)

One Step Equations

Undo the operation to solve for your variable.

Multiple Choice

Solve for b.

9b=18

• 9

• 2

• 27

• -11

Multiple Choice

Solve for x.

x + 17 = 4

• 21

• -13

• 68

• $\frac{4}{17}$

Two Step Equations

Undo the operations while following reverse of PEMDAS.

Multiple Choice

Solve for n.

-6n + 6 = 60

• -20

• 18

• -9

• -16

Multiple Choice

Solve for x.

 $\frac{x}{5}-10=-10$  

• 0

• 18

• -25

• 1

Multiple Choice

Solve for r.

 $-6r-9=111$  

• -6

• -17

• 11

• -20

Multiple Choice

Solve for x.

 $8\left(1+x\right)=-8$  

• 10

• 7

• -2

• 17

Multi-Step Equations with Variables on One Side

1. Distribute (if needed)

2. Combine like terms (if needed)

3. Solve the remaining equation.

Multiple Choice

Solve for a.

-a + a = 0

• Infinite Solutions

• No Solution

• 0

• 1

Multiple Choice

Solve for x.

 $3\left(1+7x\right)-7=-88$  

• -12

• -4

• 16

• Infinite Solutions

Multi-Step Equations with Variables on Both Sides

1. Distribute (if necessary)

2. Combine Like Terms on the same side (if necessary)

3. Use opposite operations to get like terms together across the equal sign.

4. Solve!

Multiple Choice

Solve for n.

 $n+14\ =\ 5n-2$  

• 4

• 0

• 2

• -1

Multiple Choice

Solve for r.

 $-26+4r=-2\left(3-4r\right)$  

• 7

• -4

• 11

• -5

Proportions

1. Cross Multiply

2. Distribute (if necessary)

3. Combine like terms (if necessary)

4. Solve!

Multiple Choice

Solve the proportion for x.

 $\frac{10}{5}=\frac{x}{2}$  

• 4

• 7.494

• 2

• 2.3

Multiple Choice

Solve the proportion for x.

 $\frac{9}{8}=\frac{10}{\left(x-3\right)}$  

• 11.89

• 1

• 7.05

• -2.5

Poll

How did you feel you did?

• AWESOME

• PRETTY GOOD

• OKAY

• BAD

• TERRIBLE

Algebra 1 Semester Review

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If 5x=30, find the value of 45-4x

• First solve 5x=30. x=6

• Then plug x=6 into the second equation. 45-4(6)=45-24=21

Multiple Choice

If 4x=32, find the value of 35-5x

• 3

• -5

• 5

• -3

Solve 5x-z=y for x

1.Move z to the other side by adding. 5x=y+z

2. Then divide by 5. x=(y+z)/5

Multiple Choice

Solve 4x-z=y for x.

• x=(y-z)/4

• x=y+z-4

• x=y/4+z

• x=(y+z)/4

Solve the system x+2y=-2 and -x+4y=-16

How would you solve this: graphing, substitution, or elimintaion?

What is the solution to this equation?

Fill in the Blanks

Solve the following system of equations: x+3y=-4 and -x-2y=10

Brenda’s school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day selling 8 senior citizen tickets and 5 child tickets. What is the price for each ticket?

Fill in the Blanks

Put the following equation is slope intercept form (solve for y). 3x-4y=12

Dan paid a total of $25.80 last month for his international calls. He makes international calls only to England. Dan pays $0.06 per minute in addition to $10.98 fixed monthly payment. How many minutes of international calls did Dan make last month?

Multiple Choice

Solve the equation: 8x-15+4x=-7+12x-8

• All real numbers (ims)

• No solution

• x=-15

• x=0

Multiple Choice

True or false: The solution to the inequality (-5x+5>-20) is correctly graphed.

• True

• False

Poll

I like reviewing this way.

• Yes! This is something new.

• No! I would rather do a worksheet.

• Whatever we do in math class is always fun!

Write the function 2x+10y=-20 in slope-intercept form.

​

Multiple Choice

Write the equation of the graphed line.

• y=3x+5

• y=-3x+5

• y=3x-5

• y=-3x-5

Fill in the Blanks

Find the slope between the points (5,3) and (2,7)

Write the equation of the line that contains the points in the table.

x     0     1     2     3     4
y     1     3     5     7     9    

•  Figure out the y-intercept

• Find the slope

• Place it in slope-intercept form

Multiple Choice

For f(x)= -5x-2, evaluate f(5)

• 23

• -15

• -27

• -32

Elena and her husband Marc both drive to work. Elena’s car has a current mileage (total distance driven) of 9,000 and she drives 18,000 miles more each year. Marc’s car has a current mileage of 60,000 and he drives 7,000 miles more each year. Will the mileage for the two cars ever be equal? 

Multiple Choice

What type of association does this graph have?

• Positive

• Negative

• Neither

Poll

How prepared do you feel about the test next week?

• I feel completely confident in the information.

• I need to look at a few things, but overall I feel confident.

• I need to study more than I thought I did.

• I have no clue how to do anything we just went over.