Exam Review 1 (Fall 2020)

Exam Review 1 (Fall 2020)

Solving Linear Equations and Inequalities

Multiple Choice

7(5x - 4) -1 = 14 - 8x

• x = 2

• x = 1

• x = -2

• x = -1

Multiple Choice

Solve the equation

-8x - 8 + 3(x - 2) = -3x + 2

• x = -8

• x = 8

• x = 2

• x = -2

Solving Inequalities

• If you divide by a negative, flip the sign

• 'or': solve separately

• 'and': get x by itself in the middle

Multiple Choice

-2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

Multiple Choice

Solve the following compound inequality:

3x − 4 < −13 or 7x + 1 > 22

• All Real numbers

• x > 3 and x > −9

• The answer is not listed

• x < −3 or x > 3

Multiple Choice

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

• x < −2 or x > 5

• x < 2 or x > 5

• x < −2 and x > 5

• x < 2 and x > 5

Multiple Choice

−6 < 2t − 5 < 3

• −0.5 < t < 1

• 0.5 < t < −1

• −11/2 < t < 2

• 11/2 < t < −2

Multiple Choice

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

Function or Not?

• x values cannot repeat

• y values can repeat

• vertical line test

Multiple Choice

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Linear Functions

• slope is rise/run or m=y2-y1/x2-x1

• Slope intercept y=mx+b

• Point slope y-y1=m(x-x1)

Multiple Choice

Write the equation of the line.

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

Multiple Choice

Write the equation of the line through the points (7, 8) and (-12, -11).

• y = x + 1
• y = x + 15
• y = -x - 1
• y = -x - 23

Multiple Choice

Write the equation of the line through the points (-6, -19) and (2, 5).

• y = -7/2x + 12
• y = 3x + 11
• y = -7/2x - 40
• y = 3x - 1

Multiple Choice

Write the equation of the line with slope -2 through the point (7, -1).

• y = -2x + 15
• y = -2x -15
• y = -2x + 13
• y = -2x - 13

Multiple Choice

What is the slope intercept form of the equation
-8x+2y=4

• y= 1/2 + 8x -4
• y= 2 - 4x
• y= 4x + 2
• y= 4x - 8y

Multiple Choice

 Identify the slope-intercept equation:

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

Multiple Choice

Identify the slope and y intercept in the equation of the line: y = -1/3x + 1

• Slope: 1/3
  y-intercept: 1
• Slope: 1/3
  y-intercept: -1
• Slope: -1/3
  y-intercept: 1
• Slope: -1/3
  y-intercept: 0

Multiple Choice

Given that the slope is  -4 and the y intercept is -4 what is the equation of the line?

• y = 4x - 4
• y = -4x - 4
• y = -4
• y = -4x + 4

Multiple Choice

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Multiple Choice

Find the slope:

(2, -7) and (-1, 6)

• -13/3

• 3/13

• -1/3

• 1/3

Multiple Choice

Find the slope:

(2, -7) and (-1, 6)

• -13/3

• 3/13

• -1/3

• 1/3

Graphing Inequalities

• < or > dashed line

•  $\le\ or\ \ge$  solid line

• < shade below

• > shade above

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• D

Multiple Choice

Select the correct graph for each inequality.

• A

• B

• C

• _D