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Alg2 Ch 3 Practice Test



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Alg2_3-2 Ex 2
Graph the equation: 2x + 4y = 8.  Find the x-intercept and y-intercept.
a.
(0, 2) and (4, 0)
c.
(4, 2) and (2, 0)
b.
(2, 0) and (4, 0)
d.
(0, 4) and (2, 0)
 

 2. 

Alg2_3-2 Ex 3
Graph the equation 3x - 5y = 15.  Find the x-intercept and y-intercept.
a.
(-3, 0) and (0, 5)
c.
(5, -3) and (-3, 5)
b.
(5, 0) and (0, -3)
d.
(-5, -6) and (-3, 0)
 

 3. 

Alg2_3-3 Ex 4
Graph the equation 3x + 4y = 12.  Find the x-intercept and y-intercept.
a.
(3, 0) and (0, 4)
c.
(0, 4) and (3, 0)
b.
(4, 3) and (3, 0)
d.
(0, 3) and (4, 0)
 

 4. 

Alg2_3-3 Ex 1
Find the slope on the line containing the points (-1 ,5 ) and (3 , -7).
a.
1/3
c.
-3
b.
3
d.
-1/3
 

 5. 

Alg2_3-3 Ex 2
Find the slope of the line: 3x - 4y = 20
a.
4/3
c.
-3
b.
3/4
d.
-1/3
 

 6. 

Alg2_3-4 Ex 1
Find the equation of the line that passes through the point (-8, 3) and has a slope of 3/4.  Leave your answer in Slope-Intercept Form (y = mx + b)
a.
y = (3/4)x + 2
c.
y = (-3/4)x + 2
b.
y = (4/3)x + 9
d.
y = (3/4)x + 9
 

 7. 

Alg2_3-4 Ex 2
Find the equation of the line that passes through the points (1, 2) and (3, 6).  Leave your answer in Slope Intercept Form (y = mx + b).
a.
y = 2x -2
c.
y = (1/2)x
b.
y = 2x
d.
y = 3x + 1
 

 8. 

Alg2_3-4 Ex 4
Find the equation of the line that passes through the point (-1, 3 ) and is parallel to the line 2x + y = 10.  Leave your answer in Slope Intercept Form ( y = mx + b).
a.
y = -2x + 1
c.
y = 2x -1
b.
y = x - 2
d.
y = (-1/2)x + 1
 

 9. 

Alg2_3-4 Ex 5
Find the equation of the line that passes through the point (2 , -3) and is perpendicular to the line 4y - x = 20.  Leave your answer in Slope Intercept Form ( y = mx + b).
a.
y = -4x - 5
c.
y = -4x + 5
b.
y = 4x - 5
d.
y = -5x + 4
 

 10. 

Alg2_3-5 Ex 1
Solve the system of equations using the graphing method (draw your graphs on scratch graph paper).
y = x + 1
y = -x + 3
a.
(2, 1)
c.
(1, 3)
b.
(1, 2)
d.
(2, 2)
 

 11. 

Alg2_3-5 Ex 4
Solve the system of equations using the substitution method.
x + y = 5
x = y + 1
a.
(2, 3)
c.
inconsistent (no solution)
b.
consistent, dependent y = x - 1
d.
(3, 2)
 

 12. 

Alg2_3-5 Ex 5
Solve the systems of equations using Linear Combination (Elimination).
3x + 3y = 15
2x + 6y = 22
a.
(3, 2)
c.
(2, 3)
b.
(5, 0)
d.
Inconsistent
 

 13. 

Alg2_3-7 Ex 2
Graph the inequality on scratch graph paper.  Which of these points is included in your solution?
2x + 4y > 8
a.
(4, 4)
c.
(0, 2)
b.
(0, 0)
d.
(4, 0)
 

 14. 

Alg2_3-7 Ex 5
Graph the system of inequalities on your graph paper.  Which of these points is included in your solution?
x>0
y>0
3x + 2y < 12
x - 2y > -4
a.
(-4, 0)
c.
(8, 8)
b.
(2, 1)
d.
(2, -3)
 

 15. 

Alg2_3-8 Ex 1
Find the range of the given function, if the domain is: D = {1, 2, 3}  mc015-1.jpg
a.
R = {-2, -1, 4}
c.
R = {-4, -1, 4}
b.
R = {-4, 0, 4}
d.
R = {-1, 2, 4}
 

 16. 

Alg2_3-8 Ex 2
Given that f(x) = 3x - 5 and g(x) = 2x + 4, find f(g(2)).
a.
f(g(2)) = 19
c.
f(g(2)) = 0
b.
f(g(2)) = 6
d.
f(g(2)) = 21
 

 17. 

Alg2_3-10 Ex 1
Tell whether the set of ordered pairs is a relation, function, one-to-one function, or none of these.
{ (1 ,2 ), (2 ,2 ), (3 ,5 ), (4 ,7 )}
a.
none of these
c.
relation
b.
function
d.
one-to-one function
 



 
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