Algebra 1 EOC Review Vocabulary

Final Review Day #1

Algebra 1 FAST Final Review #1

• Solving Equations

• Writing Equations of Lines

• Key Feats of Linear Functions

• Scatter Plots

• Linear Inequalities

Solving Equations

Multiple Choice

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

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

Multiple Choice

Solve for r.

• A
• B
• C
• D

Multiple Choice

Solve for f:
f - 4 = 6f + 26

• f = -5
• f = 5
• f = 6
• f = -6

Multiple Choice

pV = nRT
solve for R

• R= pV/nT
• R= p/n + V/T
• R= pV - nT
• R= (pV-n)/T

Multiple Choice

Solve for x:
4(1-x)+3x=-2(x+1)

• x = -6
• x = 6
• x = 3

Multiple Choice

• (2.5+h)f
• g=1
• f(5+h)/2
• (5f+h) / 2

Multiple Choice

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Multiple Choice

Your class wants to collect 1,200 returnable bottles to raise money for a class trip. During the first week, the 24 students in your class collect an average of 34 bottles each. How many more bottles per student should the class collect?

• 1200=24b + 34
• 1200=24(34 + b)
• 1200 = 34(24 + b)
• 1200 = 34b + 24

Multiple Choice

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Multiple Choice

Your class wants to collect 1,200 returnable bottles to raise money for a class trip. During the first week, the 24 students in your class collect an average of 34 bottles each. How many more bottles per student should the class collect?

• Each student should collect 16 more bottles each.
• Each student should collect 49 more bottles each.
• Each student should collect 384 bottles each.
• Each student should collect 20 more bottles each.

Multiple Choice

Solve: 5x - 14 = 8x + 4

• 6
• -6
• -18/13
• 10/3

Multiple Choice

What is v?
-15v-40 = 23-8v

• v = 9
• v = -7
• v = -9

Multiple Choice

You mailed three identical letters weighing more than 1 oz. each. Mailing each letter costs $0.37 for the first ounce plus $0.23 for each additional ounce. Each letter required $1.29 postage. How much did each letter weigh, to the nearest ounce?

• 1.29 = .37 + .23w
• 1.29 = .37w + .23
• 1.29 = .23 + .37(w-1)
• 1.29= .37 + .23 (w - 1)

Multiple Choice

You mailed three identical letters weighing more than 1 oz. each. Mailing each letter costs $0.37 for the first ounce plus $0.23 for each additional ounce. Each letter required $1.29 postage. How much did each letter weigh, to the nearest ounce?

• Each letter weighed 5 ounces.
• Each letter weighed 4 ounces.
• Each letter weighed 3 ounces.
• Each letter weighed 2 ounces.

Poll

Would you rather...

• Get abducted by aliens, and live to tell the story?

• Have an encounter with a monster from an urban legend, and live to tell the story?

Writing Equations of Lines

Multiple Choice

Which equation matches the graph? (Click me to see the image)

• y = -1/4x + 2

• y = 1/4x + 2

• y = 1x + 4

• y = 4x + 2

Multiple Choice

Which equation is being represented by this line?

• y = -1x + 2
• y = 1/2x + 2
• y = 3x -4
• y = -3x +2

Multiple Choice

What is the equation of this line?

• 0
• undefined 
• y = -2
• x = -2

Multiple Choice

What is the equation of the line graphed?

• x = -1
• y = -1
• y = -1x
• y = x - 1

Multiple Choice

What is the equation of the graphed line?

• y = 3
• y = 3x
• x = 3
• x = 3y

Multiple Choice

Which is the correct graph for y = 3?

• A

• B

• C

• D

Multiple Choice

How would you write the equation of a line with a slope of 2/3 and a y-intercept of -3

• y=3/2x+3

• y=2/3-3

• y=2/3x-3

• y=2/3x+3

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

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

Write the equation of a horizontal line through the point (2,4)

• x=2

• y=2

• x=4

• y=4

Multiple Choice

Write the equation of a vertical line through the point (-1,3).

• y=-1x+3

• y=3x-1

• x=-1

• y=3

Multiple Select

Which of the two equations below are perpendicular?

• y= 1/2x+7

• y= 2x+4

• y= -1/2x -2

• y= 7x-1/2

• y= 1/2x +5

Poll

Would you rather...

• Discover a fossil in your backyard?

• Discover a time capsule from 100 years ago in your backyard?

Standard Form

Write 3x + 2y = 6 in slope intercept form

What would happen with x + 3y = -9

Multiple Choice

What are the coordinates for the x-intercept of this graph?

• (-4, 0)

• (0, -4)

• (-8, 0)

• (0, -8)

Multiple Choice

What is the x and y intercept for the following equation ?
4x - 10y = 20

• x - int = 4     y-int = -10

• x-int = 5 y-int = 2

• x - int = 5 y int = -2

• x -int = 4 y -int = -10

Multiple Choice

Write x + 5y = 10 in slope intercept form.

• $$y=-5x\ +\ 2$$

• $$y\ =\ -\frac{1}{5}x\ +\ 5$$

• $$y\ =\ 5x\ +\ 2$$

• $$y\ =\ -\frac{1}{5}x\ +\ 2$$

Multiple Choice

Write x + y = 3 in slope intercept form.

• y = x + 3

• y = -3x

• y = -x + 3

• y = -x - 3

Multiple Choice

Find the slope.

• -1/7

• 1/7

• -7

• 7

Multiple Choice

Find the slope.

• -5/2

• 5/2

• -2/5

• 2/5

Multiple Choice

Find the slope.

• -1/5

• 1/5

• -5

• 5

Multiple Choice

Which of the following equations represents a line that is parallel to the line with the equation $$y=-4x+2$$  ?

• $$2x+4y=6$$  

• $$8x-2y=10$$  

• $$4x-y=2$$  

• $$8x+2y=10$$  

Multiple Choice

Which of the following equations represents a line that is parallel to the line with the equation $$y=\frac{1}{2}x-1$$  ?

• $$x-2y=3$$  

• $$2x-y=3$$  

• $$x+2y=1$$  

• $$4x-y=2$$  

• $$4x+8y=6$$  

Multiple Select

Which equations are perpendicular to

$$y=-\frac{9}{2}x-6$$  

• $$9x+2y=1$$  

• $$y=\frac{2}{9}x+22$$  

• $$2x-9y=8$$  

• $$2x+9y=-3$$  

Poll

Would you rather...

• Be stuck in an elevator?

• Be trapped in a cave?

Point Slope Form!

Point Slope Form

y-y₁= m(x - x₁)

y-y₁= m(x - x₁)

m= 2

(1, 6)

m is your slope

1 is your x value

6 is your y value

Plug in your values

y- 6= 2(x - 1)

Multiple Choice

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)
• Ax + By = C
• y = mx + b
• y=kx

Multiple Choice

m= 5

(2, 4)

• y - 2= 5(x - 4)

• y - 4= 5(x - 2)

• y- 5 = 4(x - 2)

• y - 2 = 4(x - 5)

Multiple Choice

m= 3

(1, 7)

• y - 7 = 3( x - 1)

• y - 1 = 3( x - 7)

• y - 3 = 3( x - 1)

• y - 1 = 7( x - 3)

Multiple Choice

m=4

(2, 2)

• y- 2 = 4( x - 2)

• y- 4=4(x - 2)

• y- 2= 2( x - 2)

• y + 2 = 4(x + 2)

Multiple Choice

m=6

(2, 7)

• y - 7 = 2( x - 6)

• y - 7 = 6( x - 2)

• y - 7 = 6( x + 2)

• y - 7 = 3( x - 6)

y - y₁= m(x - x₁)

When your COORDINATE has a negative value, you must change it to positive.

m=5

(-1, 2)

y - 2 = 5(x + 1)

Notice how at the end it was +1 because it was -1 as the x value.

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

• y + 1 = -3(x - 2)

• y + 1 = -3(x + 2)

• y - 1 = 3(x - 1)

• y + 2 = -3(x + 1)

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope.

(4, -7); m = -1/4

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Poll

Would you rather...

• Be locked in a room with a bald-faced hornet that angrily has your face memorized.

• Be locked in a room with an angered honey badger.