SAT/ACT Prep Linear Equations Review

ACT Review

By Atoyia Jackson

What we are doing

We are going to look at ACT questions similar to topics we have covered this year.

Some text here about the topic of discussion

• Linear equation

  • Slope

  • Standard Form​

• Function notation

• Exponent Properties

Linear Equations

​Some text here about the topic of discussion.

How to find slope From a graph:

​Formulas that involve Slope

y=mx+b where m=slope, b=y-int​

Multiple Choice

What is the slope of line HM?

• $$-\frac{3}{2}$$

• -1

• $$-\frac{2}{3}$$

• $$\frac{2}{3}$$

• $$\frac{3}{2}$$

Multiple Choice

Find the slope of the line.

• -2
• 2
• -1
• 1

Multiple Choice

Find the slope of the line.

• -5/4
• 5/4
• -4/5
• 4/5

Multiple Choice

Find the slope of the line.

• 5/2

• -5/2

• 2/5

• -2/5

How to find slope from a table:

​Formulas that involve Slope

y=mx+b where m=slope, b=y-int​

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:
(-3, -4) and (7, 6)

• 0
• Undefined
• -1
• 1

Multiple Choice

Determine the slope from the table. 

• -2
• 2
• -1/2
• 1/2

Multiple Choice

Determine the slope.

• -3
• 3
• -1/3
• 1/3

Multiple Choice

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

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

Multiple Choice

What is the equation for the table?

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

Multiple Choice

What is the algebraic equation for the following table?

• y = x + 3

• y = 3x

• y = x ÷ 3

• y = x - 3

The questions to follow will practice this conversion and using it.

​Convert to y=mx+b

​Sometime the ACT will give you linear equations in standard form(ax+by=c) and ask you do stuff with it. Knowing how to convert it to y=mx+b will help you answer those questions.

​

You do that by solving for y.​

​

Multiple Choice

Write the slope intercept form of the equation 3x - 2y = -16

• y = -3x - 8

• y = -3x + 8

• y = -3/2x - 8

• y = 3/2 x + 8

Multiple Choice

Write the slope intercept form of the equation 13x - 11y = -12

• y = 13/11x + 12/11

• y = 13x - 11

• y = -13/11x -12/11

• y = x + 1

Multiple Choice

Write the slope intercept form of the equation 9x - 7y = -7

• y = -9/7x + 1

• y = 9/7x + 1

• y = -9/7x - 7/9

• y = 9/7x + 7/9