Name: ______Date: ______Per.: ____

Chapter 5 Day 13 - Chapter 5 Test Review

DO NOW:

Write an equation in SLOPE-INTERCEPTform for the line that passes through (-3, 5) and is parallel to the graph of the equation y = 2x – 4.

Equation: ______

OBJECTIVE: By the end of this lesson, I should be able to ______

______

DEMO: Point-Slope Form y – y1 = m(x – x1)

If you have a point (x1,y1) on a line and the slope m of the line, you can write a linear equation in Point-Slope Form.

Let’s look at the Do Now problem again......

Write an equation in POINT-SLOPE FORM for the line that passes through (-3, 5) and is parallel to the graph of the equation y = 2x – 4.
Equation: ______ / Rewrite your answer now in STANDARD FORM.
Equation: ______

NOW YOU TRY IT!

Write an equation in POINT-SLOPE FORM for the line that passes through (3, 8) and is perpendicular to the graph of the equation
y = 5x – 3.
Equation: ______ / Rewrite your answer inSLOPE-INTERCEPT.
Equation: ______

CLOSURE: The three different ways of writing a linear equation is……

______

Chapter 5 Test Review

Part 1: Multiple Choice

1) Tell whether the data in the accompanying table represents is a linear function. Explain.


2) Which table does not show an example of direct variation?

(a)
x / 1 / 2 / 3 / 4
y / 4 / 8 / 12 / 16

(b)
x / 2 / 4 / 6 / 8
y / 24 / 12 / 8 / 6
3) Does this equation represent a direct variation ? Explain.
(a) This is a direct variation, because it can be written as y = 3x, where k = 3.
(b) This is not a direct variation, because it cannot be written in the form y = kx.
(c) This is a direct variation, because it can be written as x = 2y, where k = 1.
(d) This is a direct variation, because it can be written as y = 2x, where k = 2. / 4) Which situation describes a correlation that is nota causal relationship?
(a) Car color and number of car accidents.
(b) Hours spent studying and test score.
(c) Amount of exercise each week and the time it takes to run a mile.
(d)Distance to reach a destination and the amount of gasoline used.
5) Which statement describes the lines whose equations are and -2y = 6x + 6?
(a) They are segments.
(b) They are perpendicular to each other.
(c) They intersect each other.
(d) They are parallel to each other.
6) Which graph represents the equation x = 2?

(a) (b) (c) (d)
7) Which of the following best describe the coordinate graph of two distinct parallel lines?
(a)same slopes and same intercepts
(b)same slopes and different intercepts
(c)different slopes and same intercepts
(d)different slopes and different intercepts / 8)A health club charges a membershipfee of $90 per month. The function f(x) = 90xrepresents the cost of x months membership. What is the range of this function?
(a) {0, 90, 180, 270, …}
(b) all real numbers
(c) x  0
(d) {0, 1, 2, 3, …}
9) The scatter plot to the right shows the number of milligrams of a medication in a person’s body for first three hours after the medication is given. Which equation best models the relationship where h is hours after medication and m is milligrams of medication in the body.

(a) m = -h + 130
(b) m = -h – 130
(c)m = -40h + 130
(d) m = -40h – 130
10) What is the equation of a line with a slope of -4 that contains (2, -3).
(a) y – 3 = -4(x – 2)
(b) y + 3 = -4(x – 2)
(c) y – 2 = -4(x + 3)
(d) y + 4 = -3(x – 2) / 11) A line contains (1,2) and (-2, 14). What are the slope and y-intercept?
(a) Slope = -4; y-intercept = -2
(b)Slope = 4; y-intercept = 6
(c)Slope =; y-intercept = 1
(d)Slope = -4; y-intercept = 6

Part II: Extended Response. Show all related work in the space provided – NEATLY!

12) Transform the equation-4x + 2y = 2x - 24into standard form and graph.

Answers: ______
13) Using slope-intercept form, write the equation of the line that contains the points (2,0)
and (0, 3).
Answer: ______
14) Graph: 3x + 2y = 12
15) In point-slope form, write an equation of a line that is parallel to the line 3y – 2x = 15 and contains the point (0, 4).
Answer: ______
16) Graph the direct variation that includes the point (-2, 4).

What is the equation for this direct variation?
______
17) Lara and Dion went on a cycling trip with the school. The data below shows the distance traveled (d) kilometers and the time taken (t), by each of them. Who has the greater rate of change?

Answer: ______
18) A teacher surveyed a small senior class to find out how many hours they worked last week and their wages. The information from each student is summarized in the table.


19) Create a scatterplot to demonstrate the relationship between the snow storms this year and the average amount of salt on the roads in town.
a) Sketch a line or curve of best fit.
Snow storm / Salt (pound)
1 / 3
2 / 4
3 / 8
4 / 10
5 / 15
b)Determine a function to define it.
Answer: ______