WorksheetsMake up for Levi
Total questions: 118
Worksheet time: 11hrs 22mins
2(4x - 3) - 8 = 4 + 2x
3(p + 2) = -3(p + 2)
-8x - 8 + 3(x - 2) = -3x + 2
Solve the linear equation.
2x - 3 ( x + 4 ) = -5
x = -17
x = -7
x = 7
x = 17
Which is not a valid step when solving the equation 2(3x−4)+2x=−4
Simplify the LHS by combining the 3x and 2x
Simplify the LHS to get 2(3x)+2(−4)+2x
Rewrite 3x−4 as 3x+−4
Simplify the LHS to get 6x−8+2x
Solve for x. 22−3x−22−3x=12
x=0
x=2
x=−2
0=12 doesn't make sense.
After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad?
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?
55 + x = 145
145x = 55
55 - x = 145
145 (55) = x
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?
f + 8 = 14
f - 8 = 14
f/8 = 14
8f=14
A student must be at least 15 years old to obtain a driver’s permit. Let a represent the student's age.
a > 15
a < 15
a ≤ 15
a ≥ 15
a = 15
Solve for x
4x + 3 ≤ −6
x ≥ −9
x ≤ −9
x ≥ −2.25
x ≤ −2.25
Solve for x
x + 8 > 11
x > 3
x < 3
x > 19
x < 19
Solve for x
x > 15
x < 15
x > 1.7
x < 1.7
Solve for x
3x − 8 ≥ 4(x − 1.5)
x ≥ 3.5
x ≤ 3.5
x ≥ −2
x ≤ −2
Which graph matches the inequality
k < 3?
A
B
C
D
Solve the inequality
m ≤ 15
m ≥ 15
m ≤ 8
m ≥ 8
f < 0.5
f > 0.5
f < 1.2
f > 1.2
Solve for x
6x − 7 > 2x + 17
x > 6
x < 6
x > 7
x < 7
The sum of 4 consecutive integers is 180. What is the smallest number in the group?
61
62
176
44
The slope of the line passing through the points (3, ─ 4) and (7, 3) is :
10−1
74
47
−74
The slope of the line passing through the points (3, ─ 4) and (7, 3) is :
10−1
74
47
−74
: The equation of the line passing through the points (─ 1, 3) and (4, ─ 2) is :
x + y ─ 2 = 0
x ─ y + 4 = 0
3x + 2y ─ 3 = 0
x ─ y + 6 = 0
2y = 10x + 14
Write the equation of the line through (-4, -2) and (-3, 5)
y = 7x + 26
y = -8x - 39
y = (1/3) x + 10
y = -7x -2
Write the equation of the line through (3, 6) and (-4, -1)
y = x + 3
y = -1x + 6
y = x - 5
y = 7x + 26
Write the equation of the line through (-2, 8) and (6, -16)
y = -3x + 2
y = 2x - 3
y = 2x + 3
y = x + 4
What is the slope of theline that passes through the points
(3, 9) and (1, 5)−3
2
3
−2
What is the slope of the line ?
2
21
−21
−2
Which one of the statements about the line is true?
The line has slope = −2 and y-intercept = 2
The line has slope = 2 and y-intercept =undefined
The line has slope = null and y-intercept = −2
The line has slope = 2 and y-intercept = −2
Which of the following statements about the line is true?
The line has slope = 1 and y-intercept = 2
The line has slope = 2 and y-intercept = 1
The line has slope = 1 and y-intercept = −2
The line has slope = −1 and y-intercept = −2
What is the equation of the line ?
y=−x+1
y=2x−2
y=−2x+2
y=x+1
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.
35 inches
59 inches
17 inches
63 inches
Find the equation of the line of best fit for the given data
y = 163.41x+1.49
y =- 163.41x+ 4.19
y =- 4.19x+163.41
y = 4.19x -163.41
Use desmos to find the equation for the line of best fit for this data.
y=0.37x+3.68
y=3.68x+0.37
y=0.84x+0.92
y=0.92x+0.84
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+3.68 . Use desmos to figure out how many days it will be 100 degrees.
4.05 days
260.32 days
373.68 days
40.68 days
Use your line of best fit equation to determine what the temperature will be for 20 days.
11.28 degrees
4.42 degrees
44.12 degrees
20.17 degrees
Click on Image. Orange points are NOT necessarily data from the set.
y = 5/6 x + 1
y = x + 5/6
y = x + 1
y = 6/5 x + 1
Click on image. Orange points are NOT necessarily data from the set.
y = 5/8 x + 7
y = 8/5 x + 7
y = -5/8 x + 7
y = -8/5 x + 7
find line of best fit using calculator through these points (0,0)(1,2) (3,5) (6,7)
y=65x+7
y=1.14x+.64
y=1.5x+64
What is the line of best fit?
y= 5x+1.82
cannot be determined
y= 1.82x + 5.02
y= 1.1x + 4.2
y = 3/2x + 9
These lines are...
Calculate the average rate of change from 20 to 40 minutes.
-2 minutes per gallon
-20 minutes per gallon
-2 gallons per minute
-20 gallons per minute
Write an equation in slope-intercept form that goes through the points (-3, -4) and (3, 4)
y = 3/4x + 4
y = 3/4x
y = 4/3x
y = 4/3x + 4
y = -1/3x - 5
y = 1/3x + 2
Which of the following lines is PERPENDICULAR to the graph of y = -6x + 3 ?
y=61x+2
y=x+4
y=−61
y=6x−32
Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?
y=−25x+7
y=25x−19
y=52x
y=2x−5
Write the equation of the line that is parallel to the line y=3x+7 and passes through the point (-4, -14).
y = -3x +10
y = -3x - 4
y = 3x - 14
y = 3x - 2
Write the equation of a line PERPENDICULAR to y = -1/3x + 5 and passes through the point (6,4)
y=−31x+14
y=3x+22
y=−31x−10
y=3x−14
Which of the following lines goes through the point (0, 4) and is PARALLEL to y = 5x - 3?
y=51x−3
y=5x−7
y=5x+4
y=−5x−3
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?
W = 3.6 + 8.9
W = 3.6a + 8.9
a = 8.9W + 3.6
W = 8.9a + 3.6
Calculate the line of best fit.
y = 510x + 8750
y = 8750 + 510x
y = 3x + 10700
y = 10700x + 3
Find the line of best fit.
y = -0.96x + 0.78
y = 0.66x - 0.89
y = -2x + 2
y = 2x - 2
Find the line of best fit
y = 6.3x + 62
y = 62x + 6.3
y = 3x + 84
y = 84x + 3
The table shows the lengths and corresponding ideal weights of sand sharks. Which r-value is more accurate for the data?
r = 0.99
r = -0.90
r = 0.09
r = -0.099
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?
Strong Positive
Strong negative
Weak Postive
Weak Negative
No correlation
Calculate the average rate of change from 20 to 40 minutes.
-2 minutes per gallon
-20 minutes per gallon
-2 gallons per minute
-20 gallons per minute
What is the value of the y-coordinate in this system of linear equations?
6x + 10y = -32 and 6x + 9y = -27
y = 5
y = 0
y = -5
y = 1
y=-4x
3x - y = 7
2x + y = 3
Solve this system by substitution.
(1, -4)
(1, 4)
(-4, -7)
(-7, -4)
3x - y = 7
2x + y = 3
−4x − 4y = 0
4x + 4y = 0
Solve the following systems of equations using substitution:
x = 6
y = 2x - 3
(6, 6)
(6, 9)
(9, 6)
(9, 9)
Solve the following system using any method.
3x + 2y = 16
7x + y = 19
(-2,5)
(-2,-5)
(2,-5)
(2,5)
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?
y = 2.5x + 3.5 x + 6
y = 2.5x
y = 3.5x + 6
y = 6 − 3.5x
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?
Revenue: y = 12 + 2.5x
Expense: y = 38
Revenue: y = 12 + 38x
Expense: y = 38
Revenue: y = 12x
Expense: y = 2.5x + 38
Revenue: y = 12x
Expense: y = 2.5 + 38x
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?
3
16
4
50
Lines that intersect once have __________.
no solutions
infinitely many solutions
one solution
Lines that are parallel have __________.
no solutions
infinitely many solutions
one solution
Two equations that create the same line have _________.
no solutions
infinitely many solutions
one solution
Solve the system by graphing. Write the solution as an ordered pair.
y=−3x+3
y=21x−4
Write your answer in the form (x, y) or it will not score correct.
(a)
Choose the correct words from the drop-down menu to make a true statement about the system of equations.
y=31x+2
x−3y=6infinitely many solutions
no solution
one solution
Which answer shows 8.7428 rounded to the nearest tenth?
8
8.7
8.74
8.743
Write your answer in the form (x, y) or it will not be scored correct. Round to the nearest tenth if necessary.
(a)
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?
y = 2.5x + 3.5 x + 6
y = 2.5x
y = 3.5x + 6
y = 6 − 3.5x
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?
y = 2.5x + 3.5 x + 6
y = 2.5x
y = 3.5x + 6
y = 6 − 3.5x
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?
1.5 h
2 h
1 h
0.5 h
Which is the solution to the system of equations?
y=−23x−211
6x+y=−4
(−32,0)
(0, −211)
(2, −8)
Choose the correct words from the drop-down menu to make a true statement about the system of equations.
2x+3y=6
y=−32x+4
infinitely many
no solution
one solution
Find the solution to the system of equations. Write the solution as an ordered pair.
3x + 4y = –20
6x + 5y = –7
(a)
Which system has the same solution as the system of equations shown? (which is the equivalent system)
4x − 3y = 4
2x + 4y = 3
4x − 3y = 4
−4x + 8y = 6
4x − 3y = 4
−4x − 8y = 6
16x − 12y = 4
6x + 12y = 3
4x − 3y = 4
4x + 8y = 6
Find the solution to the system of equations. Write the solution as an ordered pair.
3x + 2y = –7
5x – 3y = 20
(a)
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)
$12.25
$2.25
$6.75
$12.75
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)
