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Are You Ready?
8th Grade Pre-Algebra Chapter 8
(PART ONE 8.1 – 8.6)
Name:
Date: _____________ Block: ______
Define or write an example of the following words.
Vocabulary
1) x-intercept:
2) y-intercept:
3) Slope:
4) Horizontal line:
5) Vertical line:
6) Slope intercept form:
7) Standard form:
8) Parallel lines:
9) Perpendicular lines:
Skills
Identify the domain and range of the relation.
10) (5, 2), (−1, 3), (3, −2), (−1, 3), (−4, 5)
Domain: ______________________________
Range: ______________________________
Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a
function.
11) (8, −5), (−6, 3), (5, 3), (8, −8), (4, 0)
y
Function
Not a function
x
Tell whether the relation represented by the graph is a function.
y
12)
Function
Not a function
x
Tell whether the ordered pair is a solution of −𝟐𝒙 + 𝒚 = 𝟖.
13) (−2, 4)
14) (2, −4)
Find the intercepts of the equations. Then graph the equation.
y
y
15) 2𝑥 − 6𝑦 = 12
16) −𝑥 + 4𝑦 = 8
x
17)
2𝑥 − 𝑦 = 6
x
18) 6𝑥 − 3𝑦 = 18
y
y
x
x
Find the slope of the line through the given points.
19) (2, −5), (6, 1)
20) (0, −3 )( 4, −7)
21) (−2, 6) (−2, 8)
22) (9, 4) (3, 4)
Identify the slope and the y-intercept of the line with the given equation. Then graph.
y
23) 𝑦 =
2
−5𝑥
y
24) 𝑦 = 4𝑥 − 6
+8
m = _______
m = _______
b = _______
25) 𝑦 = −3𝑥 + 7
x
b = _______
x
1
26) 𝑦 = 2 𝑥 − 3
y
m = _______
m = _______
b = _______
b = _______
x
y
x
y
y
27) 𝑥 = 3
28) 𝑦 = −6
m = _______
m = _______
x
b = _______
x
b = _______
Find the slope of a line parallel to the given line and the slope of a line perpendicular to the given line.
29)
30) 𝑦 = 2𝑥 − 6
31) 3𝑥 + 6𝑦 = 18
Slope of the line: _______
Slope of the line: _______
Slope of the line: _______
Parallel: _______
Parallel: _______
Parallel: _______
Perpendicular: _______
Perpendicular: _______
Perpendicular: _______
Write an equation of the line slope-intercept form.
1
32) 𝑠𝑙𝑜𝑝𝑒 = − ; 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 = 3
2
33)
𝑠𝑙𝑜𝑝𝑒 = 5 ; 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 = −8
34)
35)
_______________________
_______________________
Write an equation of the line that is parallel to:
37) 𝑦 = 4𝑥 + 3 ; (0, −6)
_______________________
36)
(3, 6)(0, 3)
38)
(−1, −8)(0, 9)
_______________________
𝑦=
−2
3
𝑥 − 2 ; (0, 3)
_______________________
Write an equation of the line that is perpendicular to:
39)
−4
𝑥
5
𝑦 = 3𝑥 + 5 ; (0, −7)
40)
_______________________
_______________________
𝑦=
− 4 ; (0, 2)
Applications
41)
You are in charge of buying food for a party. You have budgeted $54.00 for pizza and
soda. A pack of soda costs $6.00 and one pizza costs $3.00.
a)
Write an equation describing the possible amounts of pizza and soda you can buy.
y
18
b)
Use intercepts to graph the equation.
16
14
Pizzas
12
10
8
6
c)
If you buy 2 pizzas, how many packs of soda can
you buy?
4
2
2
4
6
8
10
12
14
16
Packs of soda
Writing
Answer the following questions in complete sentences. Be sure to use examples and
correct math terminology when possible.
42) How do you know when an equation will produce a horizontal or vertical line?
43) Explain how to graph a line using x-intercepts and y-intercepts.
18
x