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WorksheetsLinear Review
Total questions: 42
Worksheet time: 9hrs 20mins
Name
Class
Date
1.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
2.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
3.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
subtract y coordinates over subtract x coordinates
d)
all of the above
4.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
a)
200
b)
150
c)
300
d)
75
5.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
6.
Solve.
(2x - 3) / 4 = 9
(2x - 3) / 4 = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
7.
What is the first step in solving the equation 2a - 4(a - 5) = 10
a)
Add 4 to both sides
b)
Add the 2a and a
c)
Distribute 4 to a and -5
d)
Distribute -4 to a and -5
8.
-4p - 8 = -8(-8 + 5p)
a)
p = 8
b)
p = 13
c)
p = -1
d)
p = 2
9.
Solve for y:
8x + 4y= 16
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
10.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
11.
a)
(2.5+h)f
b)
g=1
c)
f(5+h)/2
d)
(5f+h) / 2
12.
What is the y-intercept in the following equation: y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
13.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
14.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
15.
What is the slope?
a)
2
b)
1/2
c)
1
d)
1.5
16.
True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.
The x-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
17.
True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.
The y-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
18.
What is the x-intercept of the equation?
3x + 6y = 24
3x + 6y = 24
a)
x = 8 or (8, 0)
b)
x = 3 or (3, 0)
c)
y = 6 or (0, 6)
d)
y = 4 or (0, 4)
19.
What is the y-intercept of the equation?
3x + 6y = 24
3x + 6y = 24
a)
x = 3 or (3, 0)
b)
y = 6 or (0, 6)
c)
x = 8 or (8, 0)
d)
y = 4 or (0, 4)
20.
What is the x-intercept of the equation?
3x - 3y = 21
3x - 3y = 21
a)
x = 7 or (7, 0)
b)
x = 3 or (3, 0)
c)
x = -7 or (-7, 0)
d)
None of these.
21.
What is the y-intercept of the equation?
3x - 3y = 21
3x - 3y = 21
a)
y = -3 or (0, -3)
b)
y = 3 or (0, 3)
c)
y = 7 or (0, 7)
d)
y = -7 or (0, -7)
22.
Find the equation of the line that passes through the points:
(-4, -2) and (-3, 5)
(-4, -2) and (-3, 5)
a)
y = 1/7 x + 26
b)
y = 7x + 26
c)
y = -7x + 26
d)
y = -7x - 26
23.
Find the equation of the line that passes through the points:
(4, -1) and (0, -3)
(4, -1) and (0, -3)
a)
y = 2x - 3
b)
y = -2x + 3
c)
y = ½ x - 3
d)
y = -½ x + 3
24.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
25.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
26.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
27.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
28.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
29.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
30.
Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y
12 ≥ 15 - 6y
a)
y ≤ ½
b)
y ≤ 2
c)
y ≥ ½
d)
y ≥ 2
31.
Solve:
8 - 3k < 8(1 - 7k)
8 - 3k < 8(1 - 7k)
a)
k < 5
b)
k > 5
c)
k < -33
d)
k < 0
32.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
33.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
34.
Which of the following inequalities matches the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤ 2/5x + 1
d)
y ≥ -2/5x - 1
35.
Which of the following inequalities matches the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
36.
Goes through (-3, -4) and (3, 4)
a)
y = 3/4x + 4
b)
y = 3/4x + 0
c)
y = 4/3x + 0
d)
y = 4/3x + 4
37.
Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
38.
Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?
a)
y = 7x + 20
b)
y = 7 + 20x
c)
y = 20 + 7
39.
Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?
a)
y = 40 + 2x
b)
y = 40 - 2x
c)
y = 2 + 40x
d)
y = 2 - 40x
40.
Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?
a)
350
b)
50
c)
-50
d)
-350
41.
For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.
a)
y = 12 + 325
b)
y = 12x + 325
c)
y = 325 - 12x
d)
y = 325x + 12
42.
At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?
a)
222.5 = m(35 + 0.75)
b)
222.5 = 35 + 0.75m
c)
222.5 = 0.75 + 35m
d)
222.5 = 0.75(m + 35)
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