Trimester 2 Benchmark Review Lesson

Trimester 2
Benchmark Review

Solving Equations

• 2 - Step Equations

• Multi-Step Equations

  • Combining Like Terms

  • Distributive Property

• Variables on Both Sides

• Equations with Fractions

• Determining the Number of Solutions

Multiple Choice

Solve for x:

$$5x\ -\ 6\ =\ 40$$  

• x = 2.9

• x = 9.2

• x = 6.8

• x = 8

Multiple Choice

What is the FIRST step in solving this equation:

$$4x\ -\ 8\ =\ 5$$  

• add 8 to both sides 

• subtract 8 to both sides 

• multiple 4 to both sides 

• divide 4 by both sides 

Multiple Choice

Remember :

You need to multiply through by the least common denominator to simplify the equation.

• 1/7
• 47/36
• 7
• 23

Multiple Choice

Find x.

• x = $$\frac{8}{11}$$

• x = 5

• x = $$\frac{15}{14}$$

• x = $$\frac{5}{3}$$

Fill in the Blank

6(-5x-2)=-12

Multiple Choice

7w-3(4w+8)=11

• w= 3

• w= 9

• w= -7

• w= 7

Multiple Choice

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Multiple Choice

Solve the equation
4x - 5x + 9 =5x - 9

• x = -3
• x = 9
• x = 3
• x = -9

Multiple Choice

Solve: 2(4x - 3) - 8 = 4 + 2x

• 5/3
• 3
• 1
• 2

Multiple Choice

Identify the number of solutions for the equation below:

$$-2x+7=7-2x$$  

• No Solution

• One Solution

• Infinite Solutions

• Three Solutions

Multiple Choice

How many solutions are there?

$$6x+2=6x-5$$  

• one solution

• infinite solutions

• no solutions 

• Two Solutions

Multiple Choice

Identify the number of solutions for the equation below:

$$-10x+35=8\left(2x+5\right)$$  

• No Solution

• One Solution

• Infinite Solutions

• Two Solutions

Angle Relationships

• Complementary, Supplementary, Vertical Angles

• Triangle Sum Theorem

• Parallel Lines Cut By A Transversal

  • Angle Relationships

  • Solving for Angle Measure

Multiple Choice

Find the missing angle.

• 43

• 47

• 57

• 67

Multiple Choice

What angle pair is highlighted in green?

• Alternate Interior Angles

• Supplementary Angles

• Vertical Angles

• Corresponding Angles

Multiple Choice

What is the measure of the missing angle?

• 92
• 102
• 82
• 72

Multiple Choice

Solve for b

• 141
• 90
• 180
• 39

Multiple Choice

If the measure of ∠2 is 83°, what is the measure of ∠3?

• 7°
• 17°
• 83°
• 97°

Multiple Choice

• 2x-6=7x+4
• 2x-6+7x+4=90
• 2x-6+7x+4=180
• 2x-6+7x+4=360

Multiple Choice

Find the measure of the indicated angle.

• $$135\degree$$  

• $$55\degree$$  

• $$45\degree$$  

• $$60\degree$$  

Multiple Choice

Find the measure of the indicated angle.

• $$45\degree$$  

• $$33\degree$$  

• $$123\degree$$  

• $$147\degree$$  

Multiple Choice

Solve for x.

• 16
• 11
• 50
• 6

Multiple Choice

Solve for the missing angle with the question mark. 

• A
• B
• C
• D

Multiple Choice

What is the value of the missing angle?

• 105

• 80

• 55

• 25

Multiple Choice

Angle 3 and Angle 6 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Multiple Choice

Angle 1 and Angle 5 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Multiple Choice

Angle 6 and Angle 7 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Multiple Choice

If the  $$m\angle7\ =\ 115\degree,$$  find the measure of  $$\angle2.$$  

• $$115\degree$$  

• $$65\degree$$  

• $$180\degree$$  

• Cannot be determined

Multiple Choice

If the  $$m\angle5\ =\ 63\degree,$$  find the measure of  $$\angle3.$$  

• $$63\degree$$  

• $$117\degree$$  

• $$180\degree$$  

• Cannot be determined

Multiple Choice

Find x:

• 3

• 3.86

• 71

• 88.2

• Other

Multiple Choice

If $$\angle9=4x$$ and  $$\angle10=6x-10,$$   solve for  $$\angle13$$  Hint: solve for x, first

• 5

• 19

• 160

• 104

• 76

Linear Relationships

• Linear & Non-Linear Relationships

• Calculating Slope

  • 2 points

  • Graphs

• Equation of line in slope-intercept form (y=mx+b)

  • From Tables

  • From Graphs

Multiple Choice

What is the y-intercept in the equation y= -2x + 5

• -2
• 3
• 5
• Cannot be Determined

Multiple Choice

Give the equation for the graph

• y = 5x - 3
• y = 4x + 2
• y =-2x + 5
• y = - 2x + 4

Multiple Choice

Find the slope of the line.

• -5/4
• 5/4
• -4/5
• 4/5

Multiple Choice

Which equation matches the table?

• y = x + 5
• y = 5x
• y = x - 5
• x = y - 5

Multiple Choice

Is this table proportional or non-proportional?

• non-proportional

• proportional

Multiple Choice

Is the table linear or nonlinear?

• Linear
• Nonlinear

Multiple Choice

Is the following equation linear or nonlinear? 

• Linear 
• Nonlinear 

Multiple Choice

Is the following equation linear or nonlinear? 

• Linear 
• Nonlinear 

Multiple Choice

Is the following equation linear or nonlinear? 

• Linear 
• Nonlinear 

Multiple Choice

Write a linear equation in the form of y=mx+b

• y = 2x + 3

• y = -2x + 3

• y = 2x -3

• y = 3x - 4

Multiple Choice

Write a linear equation in the form of y=mx+b

• y= 3x + 5

• y = 5x - 3

• y = 2x + 3

• y = 5x + 3

Multiple Choice

Write the equation of the line.

• y = -2/3x + 4
• y = 2/3x + 4
• y = 3/2x + 4
• y = -3/2x + 4

Multiple Choice

Find the slope

• -5/7
• 7/5
• -7/5
• 5/7

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6
• y=3x-6
• y=3x+6
• y=6x+3

Multiple Choice

Give the equation for the graph

• y = 5x - 3
• y = 4x + 2
• y =-2x + 5
• y = - 2x + 4

Multiple Choice

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

• 2/11
• 13/2
• 3/10
• 11/2

Multiple Choice

Find the slope of the line that passes through:
(-2, 8) and (0, 8)

• 0
• -2
• 2
• 1/2