Algebra I

Algebra I Review

Thursday

Slope Intercept Form

y = mx + b

Multiple Choice

What is the slope (rate of change) of the graph y = 12x -19?

• -19

• $$-\frac{12}{19}$$

• $$\frac{19}{12}$$

• 12

Multiple Choice

whats the slope of the function y=2/3x+6

• 2/3

• 3/2

• 6

• -4

Multiple Choice

What is 'b' in this linear equation? y= 5x - 6

b = y intercept

• 6

• 5

• y

• -6

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept
• slope
• macaroni
• nothing

solving for x

Unit 1

Multiple Choice

Which value of x makes the equation 1.25(4x - 10) = 7.5 true?

• 3.5

• -1

• -0.5

• 4

Multiple Choice

Which value of x makes the equation 3x + 2(4x - 4) = 3 true?

• 4

• 3

• 2

• 1

Multiple Choice

Which value of n makes the equation

$$\frac{2x-3}{4}=9$$ true? 

• x = 24

• x = 12

• x = 17.5

• x = 19.5

Multiple Choice

Which value of y makes the equation 4( y + 2) = 16 true?

• -2

• 0

• 1

• 2

Linear Functions

Unit 3

Multiple Choice

The table shows the cost of long distance calls based on the number of minutes used. What is the rate of change for the average cost in dollars per minutes?

• Yes, 10 calls per minute

• Yes, $.10 per minute

• Yes, $.40 per minute

• Not a constant rate

Multiple Choice

The table shows a linear relationship between the hours and money.

What is the rate of change of money with respect to hours?

• 1/9

• 9

• 8

• 1/8

Multiple Choice

The table shows a linear relationship between the input and output.

Find the rate of change of output with respect to input

• 1

• 2

• 11

• Not a constant rate/Non-Linear

Multiple Choice

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?

• ^-1/4

• 4

• ¹/₄

• -1

Multiple Choice

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?

• 80

• 20

• 40

• 160

Multiple Choice

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?

• -2/3

• 3/2

• -3/2

• 2/3

Multiple Choice

Find the graph of the standard form equation: 2x + 3y = 3

Multiple Choice

Find the graph of the standard form equation: 3x + 4y = -8

Multiple Choice

Find the graph of the standard form equation: 2x - 5y = -20

Linear Inequalities

Unit 4

Multiple Choice

What graph matches this inequality?

Multiple Choice

Which graph best represents the following inequality?

Multiple Choice

Select the correct graph for each inequality.

• A

• B

• C

• _D

Radicals

Unit 5

Multiple Choice

Which expression is equivalent to

$$4\sqrt{147}$$  

• $$196\sqrt{3}$$  

• $$12\sqrt{7}$$  

• $$3\sqrt{7}$$  

• $$28\sqrt{3}$$  

Multiple Choice

Simplify: 

$$\sqrt{28}\cdot\sqrt{3}$$  

• $$\sqrt{84}$$  

• $$2\sqrt{21}$$  

• $$4\sqrt{21}$$  

• $$2\sqrt{7\ }\ \cdot\sqrt{3}$$  

Multiple Choice

Simplify the following radical:

$$\sqrt{150}$$  

•   $$5\sqrt{15}$$  

•   $$5\sqrt{2}$$  

•   $$5\sqrt{6}$$  

•   $$15\sqrt{5}$$  

Multiple Choice

Simplify the following radical: 

$$2\sqrt{24}$$  

•   $$4\sqrt{6}$$  

•   $$2\sqrt{6}$$  

•   $$24\sqrt{2}$$  

• $$4\sqrt{4}$$  

Slope intercept form

Unit 3

Multiple Choice

what is the equation in slope-intercept form of the line that passes through the points (-4,2) and (12,6)

• y = 0.25x +3

• y = 0.25x -4.5

• y = 4x+18

• y =4x -42

Multiple Choice

what is the equation in slope-intercept form of the line that passes through the points

(-2, 4) and (1, 10)

• y = 2x -1

• y = -2x + 1

• y = 2x + 8

• y = -2x

Multiple Choice

what is the equation in slope-intercept form of the line that passes through the points

(2, 2) and (3, 4)

• y = 2x + 2

• y = -2x - 2

• y = -2x + 2

• y = 2x - 2

Perpendicular Slope

• Perpendicular slope means reciprocal

•  $y=-2x+4$  

•  $y\ =\frac{1}{2}x+2$  

Multiple Choice

What is the equation in slope intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by

$$y\ =\ -\frac{4}{9}x+5$$  

• $$y\ =\frac{4}{9}x+16$$  

• $$y\ =\ \frac{4}{9}x-16$$  

• $$y=\frac{9}{4}x+81$$  

• $$y\ =\ \frac{9}{4}x-81$$  

Multiple Choice

What is the equation in slope intercept form of the line that crosses

through (-2, 4) and is perpendicular to the line represented by 

y = 2x + 3 

• $$y=-\frac{3}{2}x+3$$

• $$y=\frac{3}{2}x+3$$

• $$y=-\frac{1}{2}x+3$$

• $$y=\frac{1}{2}x-3/2$$

Multiple Choice

What is the equation in slope intercept form of the line that crosses through (6, 4) and is perpendicular to the line represented by 

 y = -1/3x + 5 

• $$y=-\frac{1}{3}x+14$$

• $$y=3x+22$$

• $$y=-\frac{1}{3}x-10$$

• $$y=3x-14$$

Parallel Slopes

• When two lines have parallel Slopes they have the same slope but different y-intercepts

• Examples

•  $y\ =\ 2x\ +5$  
  

•  $y\ =2x\ +3$  

Multiple Choice

What is the equation in slope-intercept form of the line that passes through the point (5,0) and is parallel to the line represented by

y = 1.2x + 3.8

• y = 1.2x -6

• y = -1.2x +6

• y = 1.2x +5

• y = -1.2x -5

Multiple Choice

What is the equation in slope-intercept form  that is PARALLEL to the line y = x - 5 through (1, -2)

• $$y=-3x+1$$

• $$y=x-3$$

• $$y=x+1$$

• $$y=3x+1$$

Multiple Choice

What is the equation in slope-intercept form that goes through the point (0, 4) and is PARALLEL to y = 5x - 3?

• $$y=\frac{1}{5}x-3$$

• $$y=5x-7$$

• $$y=5x+4$$

• $$y=-5x-3$$

Matching Graphs to Equations

Multiple Choice

The graph of a linear function is shown on the grid.

Which equation is best represented by this graph?

• y = 3x + 5

• y = -3x + 5

• y = ^-1/₃ x + 5

• y = ^-1/₃ x - 5

Multiple Choice

Find the slope-intercept equationThe graph of a linear function is shown on the grid.

Which equation is best represented by this graph?

• y = 2x + 3

• y = -2x +3

• y = ¹/₂ x+3

• ^{y = -1}/₂ x+3

Multiple Choice

The graph of a linear function is shown on the grid.

Which equation is best represented by this graph?

• y = 4x + 6

• y = -4x - 6

• y = 1/4x - 6

• y = -1/4x + 6

System of Equations

Unit 4

System of Equation

• One Solution

• No Solution

• Infinitely many solutions

Multiple Choice

Which system of inequalities matches the graph?

• y > 2x - 4

  y < 2

• y < 2x - 4

  y < 2

• y > 2x - 4

  y < 2

• y < 2x - 4

  y < -2

Multiple Choice

Which system of linear inequalities is represented by the graph?

• y≤2x-1

  y>-2x+3

• y>2x-1

  y≤-2x+3

• y<2x-1

  y≥-2x+3

• y≤2x-1

  y>2x+3

Multiple Choice

Which system of linear equations represents the graph shown?

• y=3x+1 and y=x+3

• y=-x-3 and y=x-1

• y=1/3x-1 and y=x-3

• y=x-1 and y=3x-3

Multiple Choice

Which system of linear equations is shown on the graph?

• y= 4x-2 and y=1/4x-2

• y=-1/4x-2 and y=-4x-2

• y=1/4x-2 and y=-4x-2

• y=-1/4x-2 and y=4x-2

Multiple Choice

Which of the following shows the solution to the system?

y= -1/4x + 4

y = 2x + 2

• A

• B

• C

• D

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $5 
  Oatmeal Cookies $3
• Sugar Cookies $4
  Oatmeal Cookies $8
• Sugar Cookies $2
  Oatmeal Cookies $6
• Sugar Cookies $3
  Oatmeal Cookies $6

Multiple Choice

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6
• x + y = 4
  x - y = 6
• 4x + 6y = 13
  3x + 7y = 13.5
• 4x - 6y = 13
  3x - 7y = 13.5

Multiple Choice

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44
• 4x + 2y = 15
  x + y = 44
• x = 2y + 44
  4x = y + 15
• 2x - 4y = 44
  x - y = 15

Multiple Choice

You are running the concession stand at a basketball game. You sell hot dogs for $2 and sodas for $0.75. To cover overhead expenses, you need to make more than $180. Write an inequality to find how many hot dogs and sodas you need to sell. Let x equal the number of hot dogs and y equal the number of sodas.

• y > x + 180

• x + y > 180

• 0.75x + 2y > 180

• 2x + 0.75y > 180

Multiple Choice

Your school is hosting a spaghetti dinner as a fundraiser. You estimate 200 adults and 250 children will attend. Let x be the cost of adult tickets and y the cost of a child ticket. Write an inequality to represent what ticket prices to set to raise at least $3200.

• x + y ≥ 3200

• 250x + 200y ≥ 3200

• 200x + 250y ≤ 3200

• 200x + 250y ≥ 3200

Multiple Choice

Allen enjoys gardening. Every sunflower plant he waters requires 0.7 liters of water, and every rose bush he waters requires 0.5 liters of water. Allen has a total 11 liters of water for these plants. Write an inequality to represent the situation.

• 0.7s - 0.5r ≥ 11

• 0.7s + 0.5r ≥ 11

• 0.7s + 0.5r ≤ 11

• 0.7r + 0.5s ≤ 11