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Name: ________________________ Class: ___________________ Date: __________
ID: A
Unit IV......................................................Chapter 8......................................................Review Quest
List the Domain and Range for the following
relation and then use a mapping diagram to
determine whether the relation is a function.
Graph the equation using intercepts.
6. y = −
1. ÊÁË −4, − 3 ˜ˆ¯ , ÊÁË −3, 2 ˜ˆ¯ , ÊÁË 8, 2 ˜ˆ¯ , ÊÁË 9, 6 ˜ˆ¯
3
x +1
2
Tell whether the graph represents a function. Write
Yes or No.
2.
Find the slope of the line passing through the
points, and write the equation of the line in
function form.
7. ÊÁË −6, 8 ˆ˜¯ , ÊÁË 6, 3 ˆ˜¯
5
−5
a. − ; y = 12 x
12
12
−12
b. − ; y = 5 x
5
12
−12
c. − ; y = 5 + 5.5
5
5
−5
d. − ; y = 12 x + 5.5
12
Write the equation in function form. Then graph
the equation.
3. 6x − 3y = 15
4. 2x − 3y = 0
Find the intercepts of the equation's graph.
Find the missing value using the given slope and
points.
5. x = − 7
8. m = −
1
4
and ÊÁË −2, 9 ˆ˜¯ , ÊÁË 3, y ˆ˜¯
5
Name: ________________________
ID: A
13. Does the ordered pair ÁÊË 5, 6 ˆ˜¯ satisfy the system of
linear equations?
4x + 4y = 40
Find the slope and y-intercept of the line with the
given equation.
9. 8x + 4y = −96
a.
b.
c.
d.
slope: 24; y-intercept:
x − 4y = − 15
1
2
1
2
slope: −2; y-intercept: −24
slope: 2; y-intercept: 24
Graph the system of equations. Determine whether
the system has no solution, one solution, or
infinitely many solutions.
slope: 16; y-intercept: −
14. y = 5x − 4
y = 5x + 1
Write the equation of the graph in slope-intercept
form.
10.
Solve the linear system by graphing.
a.
y=
b.
y=
c.
y=
d.
y=
15.
9
x+3
7
7
− x+3
9
7
x+3
9
9
− x+3
7
Write an equation of the line that is parallel to the
given line and passes through the given point.
Express your answer in slope-intercept form.
11.
y = − 2x + 6; ÊÁË 0, − 2 ˆ˜¯
Write an equation of the line that is perpendicular
to the given line and passes through the given
point. Express your answer in slope-intercept form.
12. y = −2x + 6 ; ÊÁË 0, − 5 ˆ˜¯
2
y = −3 −x
y = 3x + 5
ÊÁ 5 5 ˆ˜
a. ÁÁÁÁ − , ˜˜˜˜
Ë 4 4¯
ÊÁ 3
9 ˆ˜
b. ÁÁÁÁ − , − ˜˜˜˜
4¯
Ë 4
c. ÁÊË 4, − 7 ˜ˆ¯
d. ÊÁË −2, − 1 ˆ˜¯
ID: A
Unit IV......................................................Chapter 8......................................................Review Quest
Answer Section
1.
It is a function.
2. Yes
3. y = 2x − 5
4. y =
2
x
3
5. x-intercept: − 7, y-intercept: none
6.
7. D
8. 5
1
ID: A
9. C
10. A
11. y = − 2x − 2
1
12. y = x − 5
2
13. No
14.
no solution
15. D
2
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