wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Make up for Levi

Total questions: 118

Worksheet time: 11hrs 22mins

Name
Class
Date
1.
If 2x + 4 = x - 5, then x = ______
a)
9
b)
-9
c)
1
d)
-1
2.
Solve:
2(4x - 3) - 8 = 4 + 2x
a)
x = 5/3
b)
x = 3
c)
x = 1
d)
x = 2
3.
Solve for p:
3(p + 2) = -3(p + 2)
a)
p = -2
b)
p = 2
c)
p = 3
d)
p = -3
4.
Solve the equation
-8x - 8 + 3(x - 2) = -3x + 2
a)
x = -8
b)
x = 8
c)
x = 2
d)
x = -2
5.

Solve the linear equation.


2x - 3 ( x + 4 ) = -5

a)

x = -17

b)

x = -7

c)

x = 7

d)

x = 17

6.

 Which is not a valid step when solving the equation 2(3x4)+2x=42\left(3x-4\right)+2x=-4  

a)

Simplify the LHS by combining the 3x and 2x

b)

Simplify the LHS to get  2(3x)+2(4)+2x2\left(3x\right)+2\left(-4\right)+2x  

c)

Rewrite 3x43x-4   as  3x+43x+-4  

d)

Simplify the LHS to get  6x8+2x6x-8+2x  

7.

Solve for x. 223x223x=1222-3x-22-3x=12  

a)

x=0x=0  

b)

x=2x=2  

c)

x=2x=-2  

d)

0=120=12 doesn't make sense.

8.
WRITE AN EQUATION
After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad?
a)
27.10+5.12=x
b)
27.10-5.12=x
c)
x-5.12=27.10
d)
5.12+x=27.10
9.
Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades? Write an equation you could use to solve this problem. Use m as your variable.
a)
m-25.32=15
b)
m/25.32
c)
m-15=25.32
d)
15m=25.32
10.
Working together, Joy and Steve collected 53 pounds of aluminum cans for recycling. If Joy collected 20 pounds, find the number of pounds, x, that Steve collected. Using x as your variable write an equation to solve.
a)
20x=53
b)
x-20=53
c)
x-53=20
d)
x+20=53
11.

Javier has saved $55 toward the purchase of an IPOD. The IPOD costs $145. Which equation represents the amount Javier needs to save to by the IPOD?

a)

55 + x = 145

b)

145x = 55

c)

55 - x = 145

d)

145 (55) = x

12.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

a)

f + 8 = 14

b)

f - 8 = 14

c)

f/8 = 14

d)

8f=14

13.

A student must be at least 15 years old to obtain a driver’s permit. Let a represent the student's age.

a)

a > 15

b)

a < 15

c)

a ≤ 15

d)

a ≥ 15

e)

a = 15

14.
Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
a)
5x + 10 ≥ 100
b)
5x - 100 ≥ 10
c)
10x + 5 ≤ 100
d)
5x + 10 > 100
15.
The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?
a)
125x + 55 ≤ 600
b)
125x + 55 ≥ 600
c)
125x + 55 > 600
d)
125x + 55 < 600
16.

Solve for x

4x + 3 ≤ −6

a)

x ≥ −9

b)

x ≤ −9

c)

x ≥ −2.25

d)

x ≤ −2.25

17.

Solve for x

x + 8 > 11

a)

x > 3

b)

x < 3

c)

x > 19

d)

x < 19

18.

Solve for x

a)

x > 15

b)

x < 15

c)

x > 1.7

d)

x < 1.7

19.

Solve for x

3x − 8 ≥ 4(x − 1.5)

a)

x ≥ 3.5

b)

x ≤ 3.5

c)

x ≥ −2

d)

x ≤ −2

20.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

21.

Solve the inequality

a)
b)
c)
d)
22.
a)

m ≤ 15

b)

m ≥ 15

c)

m ≤ 8

d)

m ≥ 8

23.
a)

f < 0.5

b)

f > 0.5

c)

f < 1.2

d)

f > 1.2

24.

Solve for x


6x − 7 > 2x + 17

a)

x > 6

b)

x < 6

c)

x > 7

d)

x < 7

25.
The sum of three consecutive integers is 48.  What is the smallest number in the group?
a)
16
b)
15
c)
17
d)
24
26.

The sum of 4 consecutive integers is 180. What is the smallest number in the group?

a)

61

b)

62

c)

176

d)

44

27.
Find four consecutive odd integers whose sum is 128.
a)
32, 34, 37, 38
b)
27, 29, 31, 33
c)
29, 31, 33, 35
d)
25, 27, 29, 31
28.
Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244.
a)
-41, -42, -43
b)
-41, -43, -45
c)
-39, -40, -41
d)
41, 42, 43
29.
The sum of 4 consecutive even numbers is 364.  What is the sum of the middle two numbers? 
a)
91
b)
92
c)
183
d)
182
30.

The slope of the line passing through the points (3, ─ 4) and (7, 3) is :

a)

110\frac{-1}{10}

b)

47\frac{4}{7}

c)

74\frac{7}{4}

d)

47-\frac{4}{7}

31.

The slope of the line passing through the points (3, ─ 4) and (7, 3) is :

a)

110\frac{-1}{10}

b)

47\frac{4}{7}

c)

74\frac{7}{4}

d)

47-\frac{4}{7}

32.

: The equation of the line passing through the points (─ 1, 3) and (4, ─ 2) is :

a)

x + y ─ 2 = 0

b)

x ─ y + 4 = 0

c)

3x + 2y ─ 3 = 0

d)

x ─ y + 6 = 0

33.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
34.
Find the equation of the line in slope-intercept form. 
a)
y = - 1/4x - 3
b)
y = 1/3x + 3
c)
y = - 1/4x + 2
d)
y = 1/3x -3
35.
Write the equation in slope-intercept form (solve for y):
2y = 10x + 14
a)
y = 10x + 12
b)
y = 10x + 7
c)
y = 5x + 14
d)
y = 5x + 7
36.

Write the equation of the line through (-4, -2) and (-3, 5)

a)

y = 7x + 26

b)

y = -8x - 39

c)

y = (1/3) x + 10

d)

y = -7x -2

37.

Write the equation of the line through (3, 6) and (-4, -1)

a)

y = x + 3

b)

y = -1x + 6

c)

y = x - 5

d)

y = 7x + 26

38.

Write the equation of the line through (-2, 8) and (6, -16)

a)

y = -3x + 2

b)

y = 2x - 3

c)

y = 2x + 3

d)

y = x + 4

39.

What is the slope of theline that passes through the points

(3, 9)  and  (1, 5)\left(3,\ 9\right)\ \ and\ \ \left(1,\ 5\right)  

a)

3-3  

b)

2

c)

3

d)

2-2  

40.

What is the slope of the line ?

a)

22

b)

12\frac{1}{2}

c)

12-\frac{1}{2}

d)

2-2

41.

Which one of the statements about the line is true?

a)

The line has slope = 2-2 and y-intercept = 22

b)

The line has slope = 22 and y-intercept =undefined

c)

The line has slope = nullnull and y-intercept = 2-2

d)

The line has slope = 22 and y-intercept = 2-2

42.

Which of the following statements about the line is true?

a)

The line has slope = 1 and y-intercept = 2

b)

The line has slope = 2 and y-intercept = 1

c)

The line has slope = 11 and y-intercept = 2-2

d)

The line has slope = 1-1 and y-intercept = 2-2

43.

What is the equation of the line ?

a)

y=x+1y=-x+1  

b)

y=2x2y=2x-2  

c)

y=2x+2y=-2x+2  

d)

y=x+1y=x+1  

44.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
45.
Find the slope from the table:
a)
-2/5
b)
5/-2
c)
5/2
d)
2/5
46.

The table shows the height and shoe sizes of several students. Use the line of best fit to predict a student's height if they wear a size 7 shoe.

a)

35 inches

b)

59 inches

c)

17 inches

d)

63 inches

47.

Find the equation of the line of best fit for the given data

a)

y = 163.41x+1.49

b)

y =- 163.41x+ 4.19

c)

y =- 4.19x+163.41

d)

y = 4.19x -163.41

48.

Use desmos to find the equation for the line of best fit for this data.

a)

y=0.37x+3.68y=0.37x+3.68

b)

y=3.68x+0.37y=3.68x+0.37

c)

y=0.84x+0.92y=0.84x+0.92

d)

y=0.92x+0.84y=0.92x+0.84

49.

 The data table represents the number of days it was a certain temperature. The line of best fit for this data is y=0.37x+3.68y=0.37x+3.68  . Use desmos to figure out how many days it will be 100 degrees. 

a)

4.05 days

b)

260.32 days

c)

373.68 days

d)

40.68 days

50.

Use your line of best fit equation to determine what the temperature will be for 20 days.

a)

11.28 degrees

b)

4.42 degrees

c)

44.12 degrees

d)

20.17 degrees

51.

Click on Image. Orange points are NOT necessarily data from the set.

a)

y = 5/6 x + 1

b)

y = x + 5/6

c)

y = x + 1

d)

y = 6/5 x + 1

52.

Click on image. Orange points are NOT necessarily data from the set.

a)

y = 5/8 x + 7

b)

y = 8/5 x + 7

c)

y = -5/8 x + 7

d)

y = -8/5 x + 7

53.

find line of best fit using calculator through these points (0,0)(1,2) (3,5) (6,7)

a)

y=65x+7

b)

y=1.14x+.64

c)

y=1.5x+64

54.

What is the line of best fit?

a)

y= 5x+1.82

b)

cannot be determined

c)

y= 1.82x + 5.02

d)

y= 1.1x + 4.2

55.
Determine the slope and y-intercept from the following equation:   2y = 3x + 6
a)
m: 2/3   b:  (0,3) 
b)
m: 3/2   b:  (0,3) 
c)
m:  4  b:  (0,3/2)
d)
m: 1/5   b:  (0,5) 
56.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
57.
Which pair of lines are parallel?
a)
x-5y=10 & y=5x-2
b)
x+y=0 & y=x+7
c)
9x-3y=12 & y=3x-10
d)
4x-8y=8 & y=2x+2
58.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

59.
At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
60.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
61.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
62.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
63.

Write an equation in slope-intercept form that goes through the points (-3, -4) and (3, 4)

a)

y = 3/4x + 4

b)

y = 3/4x

c)

y = 4/3x

d)

y = 4/3x + 4

64.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
65.
Find the equation that represents the line going through (0, 2) and (-4, 0).
a)
y = 1/2 x - 4
b)
y = 1/2 x + 2
c)
y = 2x + 2
d)
y = -2x - 4
66.
Find the slope of the line that goes through the points (-8,6) and (7,-3).
a)
1/3
b)
-1/3
c)
-3/5
d)
-5/3
67.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
68.

Which of the following lines is PERPENDICULAR to the graph of y = -6x + 3 ?

a)

y=16x+2y=\frac{1}{6}x+2

b)

y=x+4y=x+4

c)

y=16y=-\frac{1}{6}

d)

y=6x32y=6x-32

69.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

a)

y=52x+7y=-\frac{5}{2}x+7

b)

y=52x19y=\frac{5}{2}x-19

c)

y=25xy=\frac{2}{5}x

d)

y=2x5y=2x-5

70.

Write the equation of the line that is parallel to the line y=3x+7 and passes through the point (-4, -14).

a)

y = -3x +10

b)

y = -3x - 4

c)

y = 3x - 14

d)

y = 3x - 2

71.

Write the equation of a line PERPENDICULAR to y = -1/3x + 5 and passes through the point (6,4)

a)

y=13x+14y=-\frac{1}{3}x+14

b)

y=3x+22y=3x+22

c)

y=13x10y=-\frac{1}{3}x-10

d)

y=3x14y=3x-14

72.

Which of the following lines goes through the point (0, 4) and is PARALLEL to y = 5x - 3?

a)

y=15x3y=\frac{1}{5}x-3

b)

y=5x7y=5x-7

c)

y=5x+4y=5x+4

d)

y=5x3y=-5x-3

73.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
74.
Find the slope from the table:
a)
-2/5
b)
5/-2
c)
5/2
d)
2/5
75.

Caroline weighs her new puppy every month to see how much it has grown. If age is a and weight is W, which of these is the correct equation for the line of best fit?

a)

W = 3.6 + 8.9

b)

W = 3.6a + 8.9

c)

a = 8.9W + 3.6

d)

W = 8.9a + 3.6

76.

Calculate the line of best fit.

a)

y = 510x + 8750

b)

y = 8750 + 510x

c)

y = 3x + 10700

d)

y = 10700x + 3

77.

Find the line of best fit.

a)

y = -0.96x + 0.78

b)

y = 0.66x - 0.89

c)

y = -2x + 2

d)

y = 2x - 2

78.

Find the line of best fit

a)

y = 6.3x + 62

b)

y = 62x + 6.3

c)

y = 3x + 84

d)

y = 84x + 3

79.

The table shows the lengths and corresponding ideal weights of sand sharks. Which r-value is more accurate for the data?

a)

r = 0.99

b)

r = -0.90

c)

r = 0.09

d)

r = -0.099

80.

The table shows the attendance at a flag football game for the first 8 games of the season. What is the correlation of the data?

a)

Strong Positive

b)

Strong negative

c)

Weak Postive

d)

Weak Negative

e)

No correlation

81.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
0.07 weak
b)
-0.26 weak
c)
-0.26 moderate
d)
0.07 strong
82.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
-0.19 weak
b)
-0.19 moderate
c)
0.04 weak
d)
0.04 strong
83.
What is Mrs. Gordon's rate from 0 to 2 seconds?
a)
2.5 feet per second
b)
.4 feet per second
c)
5 feet per second
d)
.2 feet per second
84.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

85.
Find the average rate of change of Pete's height from 3 years old to 5 years old.
a)
2 inches per year
b)
8 inches per year
c)
2 years
d)
4 inches per year
86.

What is the value of the y-coordinate in this system of linear equations?

6x + 10y = -32 and 6x + 9y = -27

a)

y = 5

b)

y = 0

c)

y = -5

d)

y = 1

87.
solve by substitution: y=3x+14
y=-4x
a)
y=3
b)
y=1
c)
y= - 2
d)
y=4
88.
Solve the system given:
3x - y = 7
2x + y = 3
a)
(-1,2)
b)
(5,4)
c)
(4,5)
d)
(2,-1)
89.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
90.

Solve this system by substitution.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

91.
Solve the system given:
3x - y = 7
2x + y = 3
a)
(-1,2)
b)
(5,4)
c)
(4,5)
d)
(2,-1)
92.
Solve using elimination. 
−4x − 4y = 0
4x + 4y = 0 
a)
(−6, −4) 
b)
Infinite number of solutions  
c)
(−6, 10) 
d)
(6, 4) 
93.

Solve the following systems of equations using substitution:


x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

94.
If the solution is infinitely many the lines will ________?
a)
intersect at exactly one point
b)
be parallel
c)
overlap each other
d)
never exist
95.

Solve the following system using any method.

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

96.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
97.
Solve the following system by graphing.  What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
98.
Solve the following system by substitution.  What is the solution?
a)
(1, -2)
b)
(-2, 1)
c)
(-4, 1)
d)
(2, 1)
99.

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. 



Which equation models Edwin's walk downhill towards the base of the trail?

a)

y = 2.5x + 3.5 x + 6y\ =\ 2.5x\ +\ 3.5\ x\ +\ 6  

b)

y = 2.5xy\ =\ 2.5x  

c)

y = 3.5x + 6y\ =\ 3.5x\ +\ 6  

d)

y = 6  3.5xy\ =\ 6\ -\ 3.5x  

100.

Stacy sells art prints for $12 each. Her expenses are $2.50 per print, plus $38 for equipment. Which system of equations represents Stacy's revenues (money earned) and expenses?

a)

Revenue: y = 12 + 2.5x

Expense: y = 38

b)

Revenue: y = 12 + 38x

Expense: y = 38

c)

Revenue: y = 12x

Expense: y = 2.5x + 38

d)

Revenue: y = 12x

Expense: y = 2.5 + 38x

101.

Stacy sells art prints for $12 each. Her expenses are $2.50 per print, plus $38 for equipment. How many prints must she sell for her revenue to equal her expenses?

a)

3

b)

16

c)

4

d)

50

102.

Lines that intersect once have __________.

a)

no solutions

b)

infinitely many solutions

c)

one solution

103.

Lines that are parallel have __________.

a)

no solutions

b)

infinitely many solutions

c)

one solution

104.

Two equations that create the same line have _________.

a)

no solutions

b)

infinitely many solutions

c)

one solution

105.

Solve the system by graphing. Write the solution as an ordered pair.

y=3x+3y=-3x+3  
y=12x4y=\frac{1}{2}x-4  

Write your answer in the form (x, y) or it will not score correct.



(a)  

106.

Choose the correct words from the drop-down menu to make a true statement about the system of equations.

y=13x+2y=\frac{1}{3}x+2  

x3y=6x-3y=6  

a)

infinitely many solutions

b)

no solution

c)

one solution

107.

Which answer shows 8.7428 rounded to the nearest tenth?

a)

8

b)

8.7

c)

8.74

d)

8.743

108.

Write your answer in the form (x, y) or it will not be scored correct. Round to the nearest tenth if necessary.

(a)  

109.

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. 



Which equation models Thato's walk uphill away from the base of the trail?

a)

y = 2.5x + 3.5 x + 6y\ =\ 2.5x\ +\ 3.5\ x\ +\ 6  

b)

y = 2.5xy\ =\ 2.5x  

c)

y = 3.5x + 6y\ =\ 3.5x\ +\ 6  

d)

y = 6  3.5xy\ =\ 6\ -\ 3.5x  

110.

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. 



Which equation models Edwin's walk downhill towards the base of the trail?

a)

y = 2.5x + 3.5 x + 6y\ =\ 2.5x\ +\ 3.5\ x\ +\ 6  

b)

y = 2.5xy\ =\ 2.5x  

c)

y = 3.5x + 6y\ =\ 3.5x\ +\ 6  

d)

y = 6  3.5xy\ =\ 6\ -\ 3.5x  

111.

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. How many hours pass before they meet on the trail?

a)

1.5 h

b)

2 h

c)

1 h

d)

0.5 h

112.

Which is the solution to the system of equations?

y=32x112y=-\frac{3}{2}x-\frac{11}{2}  
6x+y=46x+y=-4  

a)


(13, 6)\left(\frac{1}{3},\ -6\right)

b)

(23,0)\left(-\frac{2}{3},0\right)

c)

(0, 112)\left(0,\ -\frac{11}{2}\right)

d)

(2, 8)\left(2,\ -8\right)

113.

Choose the correct words from the drop-down menu to make a true statement about the system of equations.


2x+3y=62x+3y=6  
y=23x+4y=-\frac{2}{3}x+4  

a)

infinitely many

b)

no solution

c)

one solution

114.

Find the solution to the system of equations. Write the solution as an ordered pair.


3x + 4y = –20

6x + 5y = –7

(a)  

115.

Which system has the same solution as the system of equations shown? (which is the equivalent system)


4x − 3y = 4

2x + 4y = 3

a)

4x − 3y = 4

−4x + 8y = 6

b)

4x − 3y = 4

−4x − 8y = 6

c)

16x − 12y = 4

6x + 12y = 3

d)

4x − 3y = 4

4x + 8y = 6

116.

Find the solution to the system of equations. Write the solution as an ordered pair.


3x + 2y = –7

5x – 3y = 20

(a)  

117.

The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?


Hint: write a system of equations and solve (see the word problem in lesson 4-3)

a)

$12.25

b)

$2.25

c)

$6.75

d)

$12.75

118.

At a zoo, the price of 4 adult tickets and 6 child tickets is $77. The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one adult?


Write your answer in the form $#.##

(a)