Pre-Algebra Course Assessment Review Day 1

Systems of Equations Review

Solving systems through graphing, substitution, and elimination (add/subtract)

Multiple Choice

What type of solution to at system of equations is shown in the graph?

• one solution
• no solution
• infinitely many solutions

Multiple Choice

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Multiple Choice

The system shown is

• y = -2x + 1

  y = x - 1

• y = 2x + 1

  y = -x - 1

• y = 2x - 1

  y = -x + 1

• y = -2x - 1

  y = x + 1

Solving Systems using Substitution

Multiple Choice

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

Multiple Choice

Solve the system of equations.

• (10, 3)

• (6, 3)

• (15, 3)

• No solution

• Infinite Solution

Multiple Choice

Solve:
y=8x+1
y=6x+3

• (1, 9)
• (4, 14)
• (0, 1)
• (2, 4)

Solving systems using elimination

Multiple Choice

Solve for x and solve for y

3x - 3y = 33

6x - 3y = 57

• (8,-3)

• (-3,8)

• (10,1)

• (10,-1)

Multiple Choice

Solve for x and solve for y
3x  - 3y = 33
6x - 3y = 57

• (8,-3)
• (-3,8)
• (10,1)
• (10,-1)

Writing Equations of Lines from Point and Slope

Multiple Choice

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Is this table a function or not a function?

• Function

• Not a Function

Multiple Choice

Is y a function of x?

• function

• not a function

Let's Review Graphing Lines using Slope-Intercept Form

Multiple Choice

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

• slope: 2/3 y-intercept: (0,3)

• slope: 3/2 y-intercept: (0,3)

• slope: -3/2 y-intercept: (0,3)

• slope: 3 y-intercept: 3/2

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

You can also write the equation of a line from ANY point and a slope...

• -

Multiple Choice

You are going to write the equation of the line that passes through the point (2, -4) and has a slope of -2.

Don't worry we are going to do this one step at a time.

Part 1: Which equation shows slope-intercept form?

• Ax + By = C

• $$y-y_1=m\left(x-x_1\right)$$

• $$y=mx+b$$

Multiple Choice

Write the equation of a line that passes through the point (2, -4) with a slope of -2.

Part 2: What will y=mx + b look like when the slope is plugged in? 

• -2 = mx + b

• y = -2x + b

• y = mx -2

Multiple Choice

Write the equation of a line that passes through the point (2, -4) with a slope of -2.

Part 3: What will y=mx + b look like when the point (2,-4) is plugged in with the slope? 

• -2 = 2(-4) + b

• 2 = -2(-4) + b

• -4 = -2(2) + b

Multiple Choice

Write the equation of a line that passes through the point (2, -4) with a slope of -2.

Part 4: solve for b

-4=-2(2)+ b   

• b = -2

• b = 0

• b = -4

How To Find Percents

Given a Two-Way Frequency Table

What percent of females agreed?

Determine the amount: 31 females agreed

Divide by total

Decimal to Percent

MOST THE DECIMAL RIGHT TWO PLACES!

.67 as a percent - 67%

Multiple Choice

According to the table, what is the relative frequency of students ages 10 - 13 who eat breakfast?

• About 33%
• About 50%
• About 40%
• About 44%

Multiple Choice

What is the relative frequency of people that purchased no food?

• 10%
• 60%
• 15%
• 30%

Multiple Choice

What percent of people who bought no food purchased water?

• 14.3%
• 33.3%
• 5%
• 41.1%

Multiple Choice

What percent of the total population surveyed were electrical engineers that like math?

• 33.9%
• 48.6%
• 16.5%
• 21.7%

Multiple Choice

What percent of people who play an instrument do not play a team sport?

• 80%
• 27.2%
• 40%
• 90.1%