WorksheetsMake Up 3rd 6 weeks Homework
Total questions: 106
Worksheet time: 6hrs 53mins
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
Write the linear regression equation for the following data points. Round to the nearest hundredth.
y=−0.83x+0.61
y=−0.83x+0.63
y=0.83x+−0.8
a2+b2=c2
What is the equation of the line of best fit
y= -2x + 10
y= 10x+ 2
y=2x+10
y= 10
Which sentence describes the relationship shown on this scatter plot?
As the temperature decreases, the visitors increase.
As the temperature increases, the number of visitors increases.
As the visitors increase, the temperature decreases.
No correlation
What does the value, r= -0.89, tell us about the linear relationship of two quantitative variables?
Strong positive
Weak positive
Strong negative
Weak negative
What is the y-intercept?
-2
3
2
-3
y = 3x - 3
These lines are...
y = 3/2x + 9
These lines are...
m = 4
m = 5/8
m = 5/8
y = -6x + 2
These lines are...
Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)
y = -1/3x - 5
y = 3x-29
y = 1/3x -5
y = -1/3x +1
Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)
y = 4x + 12
y = -4x -4
y = -1/4x + 5/2
Which of the graphs represents the linear inequality y>21x+3 ?
Which of the graphs represents the linear inequality y≤−x−4 ?
Which of the following linear inequalities represents the graph?
y≥3x−5
y≥31x−5
y≤−31x−5
y>31x+5
Which of the following linear inequalities represents the graph?
y≥3
x≥3
y≤3
y<3
Which of the following linear inequalities represents the graph?
x≥2
x≥−2
y≥−2
y>−2
Which of the following linear inequalities represents the graph?
y≥3x
y>3x
y<3x
y>31x
Which of the following linear inequalities represents the graph?
y≥41x
y≤4x−2
y<41x+2
y≤41x+2
When graphing a linear inequality, < and > signs would require you to draw...
a solid line
a dotted line
When graphing a linear inequality, ≤ and ≥ signs would require you to draw...
a solid line
a dotted line
y = 3x - 12
-3x + 4y = 12
-7x - 3y = 21
-5x + 6y = 12
y=2x
Parallel Lines have how many solutions?
One Solution
Infinitely Many Solutions
No Solutions
As many solutions as you want
Which image shows a system of linear equations with infinitely many solutions?
y = 4x+1
3x + 2y = 13
8x + 4y = 12
y = -2x + 3
No Solution
(2, 2)
(-1, 2)
(-1, -2)
Solve by Substitution:
x = -3y - 17
2x + 3y = -7
(1, -20)
(3, 0)
(-5, -2)
(10 , -9)
Solve the following systems of equations using substitution:
x = 6
y = 2x - 3
(6, 6)
(6, 9)
(9, 6)
(9, 9)
"solution to a system of equations"
mean?
-4x + 2y = -30
Which variable will be eliminated?
3x+7y=23
-3x-7y=-17
4x+4y=4
3x+4y=10
-x+2y=17
2x+2y=-10
4x-6y= -6
-2x-12y= -12
7x + y = -9
-3x - y = 5
What is the solution?
Give the solution to the system.
Convert the equation into slope-intercept form.
3x+y=12
Convert the equation into slope-intercept form. 10x −5y=30
y = 2x - 6
y = -2x + 6
y = -10x + 30
y = 10x - 30
Convert the equation into slope-intercept form. −6x+3y=9
y = 2x + 9
y = 6x - 3
y = 2x + 3
y = 6x + 9
Graph using your calculator and then find the solution (intersection point).
y=−6x+5
−2x+y=5
(-3, -6)
(-6, 3)
(0, 5)
(-3, 5)
Graph using your calculator and then find the solution (intersection point). 5x+4y=−14
y=−7x−15
(-2, -1)
(1, -2)
(-2, 1)
(-1, -2)
Graph using your calculator and then find the solution (intersection point).
3x+7y=23
y=−73x−18
No solution
(0, 3)
(-3,3)
(3,3)
Graph using your calculator and then find the solution (intersection point).
y=32x+31
y=x−1
(-2,-3)
(0,-1)
(3,4)
(4,3)
Graph using your calculator and then find the solution (intersection point).
y=−6x+5
−2x+y=5
(-3, -6)
(-6, 3)
(0, 5)
(-3, 5)
What is the solution?
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.
1) Each black-and-white copy cost $0.08.
2) Each color copy cost $0.15.
Which system of equations can be used to find b, the number of black-and-white copies and c, the number of color copies that the customer paid for at the print shop?
b + c = 6.00
0.08b + 0.15c = 68
b + c = 68
0.15b + 0.08c = 6.00
b + c = 6.00
0.15b + 0.08c = 68
b + c = 68
0.08b + 0.15c = 6.00
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The rice of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
4y = 3x + 64
8y = x + 68
4y = 3x + 64
8y = x + 60
3x + 4y = 64
x + 8y = 68
3x + 4y = 64
x + 8y = 60
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches.
Which system of equations can be used to find the number of 7-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?
x + y = 140
12x + 7y = 15
7x + 12y = 140
7x + 12y = 15
x + y = 15
7x + 12y = 140
x + y = 15
12x + 7y = 140
A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?
g = 2d - 8
g + d = 46
g = 8 - 2d
g = 46 - d
d = 2g - 8
d = 46 - g
d = 8 - 2g
d + g = 46
A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85.
Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?
0.10q + 0.25d = 2.85
q + d = 18
0.10q + 0.25d = 18
q + d = 2.85
0.25q + 0.10d = 2.85
q + d = 18
0.25q + 0.10d = 18
q + d = 2.85
4x + 2y = 44
x + y = 44
4x = y + 15
x - y = 15
y = 2x - 3
x = 2y - 3
x = 3 - 2y
x = 33 - 2y
3S + 4A = 1740
4S + 3A = 1740
3S + 4A = 530
4S + 3A = 530
Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?
x + y = 1430
20x + 50y = 49
x + y = 49
10x + 5y = 1430
x + y = 49
20x + 50y = 1430
x + y = 49
x + y = 1430
Match a sentence with this equation:
2B + 3F = 22.50
Joe bought 2 burgers and 3 fries for $22.50
Mary bought 3 burgers and 2 fries for 22.50
Norman ate 2 burgers and gave away 3 fries in 22.50 minutes
Ivy bought 2 burgers and 3 fries for 2.20
Match a sentence with this equation: C = 7.50p + 3.00
JB's Deli charges $ 0.75 for each pizza and $3.00 per topping
Sally's Pizza charges $3.00 per pizza with a $7.50 delivery fee
Pizza Time charges $7.50 for each pizza and $.30 for the delivery fee
Pizza Planet charges $7.50 per pizza with a $3.00 delivery fee
Is (0,0) a solution to the system?
Solution
Not a solution
Is (-2, 0) a solution to the system?
Solution
Not a solution
Which point is a solution to the system of inequalities?
(-8,2)
(-2,-5)
(0,6)
(4, 3)
What is the inequality symbol for the equation of this boundary line?
less than
less than or equal to
greater than
greater than or equal to
y < x + 4
y ≥ x + 4
y ≥ x + 4
y ≥ x + 3
y < 3
y > 3
y < 3
y > 3
When graphed, the line will be...
5 ≥ x
Solid
Dashed
Zig-Zag
