Study Guide: Algebra Review Unit

​Algebra Review Unit Study Guide

By

Distributing
Combining Like Term
Reducing Fractions (link)

​Simplify Expressions

Multiple Choice

-5(n+4)+5n

• -5n-20+5n

• -20

• -5n + 4 +5n

• -5n +20 +20n

Multiple Choice

Simplify the following expression:

-6x + 4(x - 3)

• -2x - 12

• 10x + 12

• -10x - 12

• -2x + 12

Multiple Choice

-2 (-2b + 6)

• -4b -12
• -4b +12
• 4b -12
• 4b +12

Multiple Choice

Simplify the following expression:
-6x + 4(-x - 3)

• -2x - 12
• 10x + 12
• -10x - 12
• -2x + 12

Multiple Choice

Simplify:
3x - (x - 6) - 12

• 2x - 6
• 4x - 18
• 2x + 6
• 4x - 6

Multiple Choice

-¼(8x + 12)

• -2x - 12

• -2x + 3

• -4x - 12

• -2x - 3

Multiple Choice

Simplify the fraction: $$\frac{6x-20}{4}$$

• $$\frac{6x}{4}-\frac{20}{4}$$

• $$\frac{3x}{2}-5$$

Variables on both side
Fractions

​Solving Equations

Multiple Choice

-5k + 10 = -2k - 14

• k = 8

• k = -8

• k = 2

• k = -2

Multiple Choice

Solve:
2(a + 4) = 2a - 8 + 4a

• 3
• -3
• -4
• 4

Multiple Choice

Solve:
2(2x + 3) = -6(x + 9)

• 1.2
• 6
• -6
• 7.5

Multiple Choice

• x = -6

• x = 4

• x = 2

• x = -2

Multiple Choice

• c = 3

• c = -3

• c = 2

Multiple Choice

• x = - 30

• x = 30

• x = -12

• x = 12

Multiple Choice

Solve:

3(x − 2) = 3x − 6

• x = 6

• x = -6

• infinitely many solutions

• no solutions

Multiple Choice

Solve:

9x + 7 − 5x = 4x − 7

• x = 7

• x = -7

• infinitely many solutions

• no solutions

Calculate, visual, interpret

​Slope (m) and Y intercept (b) are best friends

​

Slope and Writing Equations

Multiple Choice

What is the slope in the picture?

• Positive
• Negative
• Zero
• Undefined

Multiple Choice

Find the slope when given the following (3, 5) (-2, 0) 

• 1
• -1
• -5/2
• 3

Multiple Choice

Find the slope of the line.

• -2
• 2
• -1
• 1

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

What is the rate of change for the table?

• $$-\frac{5}{2}$$  

• $$-\frac{2}{5}$$  

• $$\frac{5}{2}$$  

• $$-\frac{11}{2}$$  

Multiple Choice

• Taylor can write 6 words per minute
• Taylor can write 25 words per minute
• Taylor can write 50 words per minute
• Taylor can write 150 words per minute

Multiple Choice

Interpret the slope.

• $12 per hour

• $4 per hour

• $3 per hour

• $2 per hour

Multiple Choice

Write the equation of the line through (-4, -2) and (-3, 5)

• y = 7x + 26

• y = -8x - 39

• y = (1/3) x + 10

• y = -7x -2

Multiple Choice

Write the equation for the line in slope-intercept form.

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

Multiple Choice

Find the slope of the line.

• 1/2
• -1/2
• 2
• -2

Multiple Choice

What type of slope does the graph have?

• Positive
• Negative
• Zero Slope
• Undefined

Multiple Choice

Which equation best represents the relationship between x and y in the table shown?

• y= 5x+5
• y=1/5x+5
• y=15x+5
• y=10x+5

Multiple Choice

Write the equation of a line that passes through the point (1,4) and has a slope of 9.

• y= 9x-4
• y= 9x-5
• y= 9x+4
• y= 9x+5

Multiple Choice

 Identify the slope and y intercept to write an equation of the line.

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

Multiple Choice

Identify the slope and y intercept to write an equation of the line.

• y = 6x - 3
• y = -6x - 3
• y = 6x + 1
• y = -6x + 3

Multiple Choice

Write the equation of a line that is parallel to $$y=-\frac{2}{3}x-7$$  and goes through the point  $$\left(-12,\ 11\right).$$  

• $$y=-\frac{2}{3}x+11$$  

• $$y=\frac{2}{3}x+19$$  

• $$y=-\frac{2}{3}x+19$$  

• $$y=-\frac{2}{3}x+3$$  

Multiple Choice

Write the equation of a line that is parallel to  $$y=-x+12$$  and goes through the point  $$\left(3,\ -10\right).$$  

• $$y=-x-7$$  

• $$y=-x-10$$  

• $$y=-x-13$$  

• $$y=-x+3$$  

Multiple Choice

Write the equation of a line PERPENDICULAR to y = -2x + 1 and passes through the point (2, 3).

• $$y=-\frac{1}{2}x+\frac{1}{2}$$

• $$y=\frac{1}{2}x+2$$

• $$y=-2x+7$$

• $$y=-2x+8$$

Multiple Choice

Write the equation of a line PERPENDICULAR to $$y=\frac{1}{3}x-9$$  and passes through the point (-6, 10).

• $$y=\frac{1}{3}x-9$$

• $$y=\frac{1}{3}x+10$$

• $$y=-3x+6$$

• $$y=-3x-8$$