Algebra 1A Trimester 1 Review

Algebra 1A Trimester 1 Review

Unit 1

• Combine Like Terms

• Distributive Property

• Equivalent Expressions

• Order of Operations

Poll

What is the first step in solving the expression ?

 $4\left(12\ -\ 2\right)^2\div2$  

• Division

• Multiplication

• Exponent

• Subtraction

Order Of Operations

 $4\left(12\ -\ 2\right)^2\div2$  

Multiple Choice

 $3\left(8\ -\ 5\right)^2\ \div9\times2$ 

• 6

• 1.5

Multiple Select

In order to evaluate the expression u + xy for u = 18, x = 10, and y = 8, what must be done? Check all that apply.

• Substitute the values in for u, x , and y.

• Use the Order of Operations to evaluate

• Add before Multiplication

• Multiply before adding

Evaluate

u + xy for u = 18, x = 10 and y = 8

Multiple Choice

Evaluate: 3ab² - abc for a = 4, b = 5, and c = 2

• 260

• 20

• 3560

Multiple Choice

Evaluate: (ab)² for a = 2 and b = 3

• 36

• 6

Multiple Choice

 $\frac{\left(8\ -\ x\right)^3}{2x}$  Evaluate for x = 2

• 54

• 4.5

Poll

What does it mean to combine like terms?

• Combine Everything Together

• Combine the terms that are alike.

• Multiply the number over the parentheses

Write an equivalent expression by Combining Like Terms

-2x + 3 - 4x + 5 - 4x + 5 - 4x² + 11 - 15x + 2x² -15

Multiple Choice

Write an equivalent expression:

x + 2x - 9 + xy - 2 - 3x + 4xy - 4 - 3xy

• 2xy - 15

• 6x + 8xy -15

Multiple Choice

Write an equivalent expression:

3m³n⁶ + 2m⁶n³ - 7m³n⁶

• -4m³n⁶ + 2m⁶n³

• -2m³n⁶

• 10m³n⁶ + 2m⁶n³

Poll

Write an equivalent expression using the Distributive Property:

3(2x + 5)

• 5x + 8

• 6x + 15

• 21x

• 6x + 8

Simplify using the Distributive Property:

3 ( 2x + 5)

Simplify Using the Distributive Property

-2(2x + 4)

Simplify using the Distributive Property:

 $\frac{x\ +\ 7}{2}$  

Multiple Choice

Simplify: -5(4x - 2)

• -20x +10

• -20x - 10

• 20x + 10

• 20x - 10

Multiple Choice

Simplify:

 $\frac{2x\ +\ 7}{3}$  

•  $\frac{2x}{3}\ +\frac{7}{3}$  

• 6x + 21

Multiple Choice

Simplify: 5 + 3( x - 2)

• 3x - 1

• 3x + 10

Unit 2: Solving Equations

• 1 Step Equations

• 2 Step Equations

• Multi Step Equations

• Proportions

Poll

What are things that we can do when solving equations?

Check all that apply

• Balance the Equation: You must do the same to both sides of the equation

• Inverse Operations to Undo the operations in the equation

• Work Backwards

• The Story of X

Solve and check your answer.

2x - 3 = 5

Multiple Choice

Solve:

21 = 3(b + 2)

• b = 5

• b = 5 $\frac{1}{3}$

• b = 9

• b = 45

Poll

What would be the FIRST step in solving the equation: 9 -    $\frac{3x}{4}$  =12

• Add 9 to both sides

• Subtract 9 from both sides

• Multiply by 4 on both sides

• Divide by 3 on both sides

Poll

 $\frac{x\ +\ 5}{6}=\ 3$  

In solving the above equation, the first step would be to MULTIPLY both sides by 6.     What would the NEXT be to solve the equation?

• Subtract 5 from both sides

• Add 5 to both sides

• Multiply both sides by 6

• Divide both sides by 6

Multi Step Equations

r + 11 + 8r = 29

Multi Step Equation

37 = -3 + 5( x + 6 )

Multiple Choice

Solve: x - 11x = -1x + 45

• x = 5

• x = 45/11

• x = -5

Multiple Choice

Solve: 4x + 27 = 3x

• x = -27

• x = 27

• 
  

  $x\ =\ \frac{27}{7}$

• $x\ =\ \frac{-27}{7}$

Proportions

• 2 Equivalent ratios

•  $\frac{2}{3}=\frac{6}{9}$  

•  $\frac{x}{4}=\frac{2}{5}$  

Poll

What would the first step be to solve the proportion? $\frac{m\ -\ 8}{4}=\frac{2}{8}$  

• Add 8 to both sides

• Multiply both sides by 4

• Subtract 8 from both sides

• Divided both sides by 4

Proportions

 $\frac{m\ -\ 8}{4}=\frac{2}{8}$  

Multiple Choice

 $Solve\ the\ proportion:$  

 $\frac{x\ +\ 7}{3}=6$  

• x = 11

• x = 1

• x = 25

What is the first step to solving the Proportion?

 $\frac{7}{b\ +\ 5}=\frac{10}{5}$  

Multiple Choice

 $Solve\ the\ proportion:$   $\frac{9}{x\ -\ 6}=\frac{9}{2}$  

• x = 8

• x = -4

Solving Inequalities

Poll

What are things that we can do when solving inequalities?

Check all that apply

• Balance the Inequality: You must do the same to both sides of the equation

• Inverse Operations to Undo the operations in the inequality

• Work Backwards

• The Story of X

Multiple Choice

Solve the inequality:  $-2x\ +\ 3\ <9$  

• x > -3

• x < -3

• x > -6

• x < -6

Multiple Choice

 $Solve\ the\ inequality:\ \ 12\ \le2\left(x\ +\ 3\right)$  

• 3  $\le$  x

• 3  $\ge$  x

• 9  $\le$  x

• 9  $\ge$  x

Multiple Choice

 $Solve\ the\ compound\ Inequality:\ \ \ \ \ \ \ 36\ \le11\ -\ 5x\ \le66$  

• -5  $\ge$  x   and    x  $\ge$  -11

• -5  $\le$  x    and     x $\le$  11

Multiple Choice

 $Solve:\ \ \ 2x\ +\ 3\ >\ 9\ \ \ OR\ \ \ 3x\ -\ 6\ <\ 12$  

• x > 3 or x < 6

• x < 3 or x >6

• x > 6 or x < 2

• x < 6 or x > 2

Open Ended

Please respond with what you enjoyed about Algebra 1 this trimester? Also, what would be a suggestion to improve virtual learning?

It has been a pleasure to work with all of you. I hope that I will be your teacher again this year for Algebra 1.

Celebrate! Trimester 1 is over.