NEW
Font size
S
M
L
XL
WorksheetsExam Practice
Total questions: 60
Worksheet time: 3hrs 13mins
Name
Class
Date
1.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
2.
Select the graph for the inequality y ≤ 7/2x - 2.
a)
A
b)
B
c)
C
d)
D
3.
Select the graph for y ≥ -3.
a)
A
b)
B
c)
C
d)
D
4.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
5.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
6.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
7.
What is the boundary line (symbol) of the graph?
a)
less than
b)
less than or equal to
c)
greater than
d)
greater than or equal to
8.
Do I need to flip my sign?
-4x ≥ 12
-4x ≥ 12
a)
Yes
b)
No
9.
Do I need to flip my sign?
3x ≥ -12
3x ≥ -12
a)
Yes
b)
No
10.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
11.
JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?
a)
b + t < 15
3b + 6t > 66
3b + 6t > 66
b)
b + t > 15
3b + 6t < 66
3b + 6t < 66
c)
3b + 6t > 15
b + t < 66
b + t < 66
d)
3b + 6t < 15
b + t < 66
b + t < 66
12.
Y-intercept is where the line ______________.
a)
begins
b)
crosses the x-axis
c)
crosses the y-axis
d)
ends
13.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
14.
Match
a)
y ≥ x - 1 and y < -x + 4
b)
y < -x - 1 and y ≥ x + 4
c)
y > -x - 1 and y ≥ x + 4
d)
y > x - 1 and y ≥ -x + 4
15.
Match
a)
y < x−2
y < 3
y < 3
b)
y > -x+2
y > 3
y > 3
c)
y < -x+2
y < 3
y < 3
d)
y < -x+2
y > 3
y > 3
16.
Match
a)
y > -5x - 1/2 and y ≥ -1/2x - 4
b)
y > -1/5x - 1/2 and y ≤ -2x - 4
c)
y ≥ -5x - 1/2 and y ≤ -1/2x - 4
d)
y < -1/5x - 1/2 and y ≥ -2x - 4
17.
Match
a)
y ≤ 2x - 4
b)
y ≥ 2x - 4
c)
y ≤ -4x + 2
d)
y < 2x - 4
18.
Match
a)
x ≤ 1
b)
x ≤ -1
c)
y < -1
d)
x < -1
19.
Leah earns a salary of $1400 per month, plus a commission of 4% of her sales. If she wants to earn a total of at least $1600 this month, what is the least amount of sales she needs?
a)
s ≤ $5000
b)
s ≥ $5000
c)
s ≥ $200
d)
s ≥ $3000
20.
Write an inequality for this situation, where speed = s: You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
21.
What is the second step in solving the following equation?
-3x + 5 = 20
-3x + 5 = 20
a)
Subtract 5 from both sides
b)
Divide both sides by -3
c)
Divide both sides by 3
d)
add 3x to both sides
22.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
23.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
24.
What is the slope of the equation: 2y + 4x = 8
a)
4
b)
-2
c)
2
d)
-4
25.
What is the slope of the line passing through the points (3,5) and (-1,7)?
a)
-1/2
b)
-1
c)
-2
d)
1/2
26.
Write an equation of the line that passes through (3,1) and is parallel to the line y = 3x + 1.
a)
y = -3x + 1
b)
y = 3x - 8
c)
y = -1/3x -8
d)
y = 3x + 4
27.
Write an equation for a line that is perpendicular to the graph shown and passes through the point (4,-1)
a)
y = 2x + 3
b)
y = 1/2x - 3
c)
y = 1/2x - 1
d)
y = -2x + 1
28.
Write the an equation for the graph shown.
a)
-2y = x + 4
b)
2y = x +2
c)
y = 1/2x + 2
d)
2y = -x - 4
29.
Write a linear function with the given values:
f(0) = 2
f(5) = -3
f(0) = 2
f(5) = -3
a)
f(x) = x + 2
b)
f(x) = x - 3
c)
f(x) = -x - 2
d)
f(x) = -x + 2
30.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
31.
Write the equation for this graph.
a)
y = -10x + 60
b)
y = -5x + 60
c)
y = -1/2x + 60
d)
y = -1x + 60
32.
What is the equation of the linear function?
a)
y = -3x + 10
b)
y = -3x + 16
c)
y = 3x + 10
d)
y = 3x + 16
33.
Use the table to write the equation.
a)
y=-4x+6
b)
y=6x+4
c)
y=4x+6
d)
y=4x-2
34.
Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?
a)
y = 4 + 5x
b)
y = 5 + 4x
c)
y = 4•5•x
d)
y = 5x - 4
35.
Bike rental at Como Park is $3.50 per hour. Which equation shows how much it costs to rent a bike?
a)
y = 3.50x
b)
y = x + 3.50
c)
y = 3.50 ÷ x
d)
y = x ÷ 3.50
36.
Match the graph with the equation.
a)
y = 3/2 x - 6
b)
y = -6x + 2/3
c)
y = 2/3 x - 6
d)
y = 2/3x + 6
37.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
38.
Solve the system of equations by substitution.
y = 8x + 12
-5x +4y = 21
y = 8x + 12
-5x +4y = 21
a)
(1, -4)
b)
(1, 20)
c)
(-1, 20)
d)
(-1, 4)
39.
Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16
y = -4x + 5
y = 3x - 16
a)
(-3, -25)
b)
(3,-7)
c)
(11, 17)
d)
(21, 47)
40.
Which of the following best describes the number of solutions to the following system?
y=-2x+1
y = -2x + 3
y=-2x+1
y = -2x + 3
a)
Two solutions
b)
One solution
c)
No solution
d)
Infinitely many solutions
41.
Solve the system by substitution.
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
42.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
43.
When you graph the exact same equation twice,
a)
you will have no solution.
b)
you will have one solution.
c)
you will have infinite solutions.
d)
you will graph a giraffe.
44.
Buzz graphed the following two lines. One line has equation y=-6x+2. Which of the following is an equation of the other line?
a)
x+y=-3
b)
x+y=3
c)
3x+3y=3
d)
-3x-3y=3
45.
Which solution of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
46.
What does the x represent in this situation?
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
a)
price of a saxophone
b)
rental fee
c)
total cost
d)
number of months
47.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
a)
x+y=134
x+y=120
x+y=120
b)
3x+3y=134
4x+3y=120
4x+3y=120
c)
4x+3y=134
3x+3y=120
3x+3y=120
d)
7xy=134
6xy=120
6xy=120
48.
In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?
a)
10 horses, 18 chickens
b)
16 horses, 12 chickens
c)
12 horses, 16 chickens
d)
18 horses, 10 chickens
49.
A ________________ is a set of two or more equations that have the same variables.
a)
solution of a system
b)
elimination method
c)
system of equations
d)
table
50.
The area of a rectangular pool table is: x2 + 14x +40.
What are the dimensions of the table?
What are the dimensions of the table?
a)
(x + 8)(x + 5)
b)
(x + 20)(x - 2)
c)
(x + 4)(x + 10)
d)
(x +14)(x + 40)
51.
Which function is equivalent to:
x2 + 10x + 25
x2 + 10x + 25
a)
(x+10)(x+25)
b)
(x+5)(x-5)
c)
(x+5)2
d)
(x+15)(x+10)
52.
solve.
6x2=-42x+360
6x2=-42x+360
a)
-12, -5
b)
-12,5
c)
12, -5
d)
12, 5
53.
What are the roots of the function
f(x)= (x - 2)(x + 3)?
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
54.
The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
a)
2 seconds
b)
-2 seconds
c)
-6 seconds
d)
6 seconds
55.
Factor by GCF
3v2 - 6v - 15
3v2 - 6v - 15
a)
(3v-7)(v+1)
b)
Prime
c)
3(v2-2v - 5)
d)
(3v+1)(v-10)
56.
Factor Completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
57.
Simplify
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
a)
p 2 − 16p − 64
b)
p 2 + 16p + 64
c)
p 2 − 16p − 8
d)
p 2 − 16p + 64
58.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
59.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
60.
Multiply.
(b+3)(b2+2b+1)
(b+3)(b2+2b+1)
a)
b3+6b2+6b+3
b)
b3+5b2+7b+3
c)
4b3+8b2+3b
d)
3b3+6b2+3b
Reset
