Asked by Lion queen

On coordinate plane, points (2, 1), (1, 5) and (0, 9) are connected through a line.

Drag a number to each box to represent the equation of the line.

y = x +

-9
-5
-4
-2
-1
0
1
2
4
5
9


Answers

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The graphs of two lines are shown.

Graph 1 titled 'Line A' has the intersecting points at (0, 7) and (2, 1). Graph 2 titled 'Line B' has the intersecting points at (0, 0) and (3, 7).

Drag the correct equation for each line to the appropriate box.

Line A








Line B






y=3/7x
y = - 3/7x
y = 7/3x
y = - 7/3x
y = 3x
y = -3x
y = 7x
y = -7x
y = 3x + 7
y = -3x + 7
y = 7x + 3
y = -7x + 3






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Which equations have infinitely many solutions? Select TWO that apply.

A. 6(x - 9) = 6x - 54 + x

B. 5 (x - 8) + 10 = 5(x + 2)

C. 20 - 8x - 6 = 2(7 - 4x)

D. 4(x + 4) = 2(2x + 5) + 6

E. 2x + 9 = 18 + 2x
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A salesman makes both a base salary and also a commission, which is a percentage of what he sells. Each month, if his sales total s dollars, he makes a total of 2,000 + 0.1s dollars. What does 2,000 represent?
A.
his monthly base salary in dollars

B.
the amount of his monthly sales in dollars

C.
his total monthly pay in dollars

D.
his monthly commission in dollars
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The value of a baseball card in dollars has been found to be 0.15y + 0.35, where y is the number of years since it was released. By how much is the baseball card's value increasing per year?
A.
$0.15

B.
$0.35

C.
15%

D.
35%
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Manipulate the equation y=5x-11 so that it is written in terms of x. Which equation is equivalent to y=5x-11?
A. x = (y/11) -5

B. x= y+11/5

C. y - 11/5

D.
x=(y/5) +11
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Charity is buying peaches at the store. The cost of the peaches are $1.30 per pound. If she has $6.50 to spend on peaches, how many pounds (x) can she buy?
Set up an equation to solve the problem.
A. 1.30x=6.50

B. 1.30+x=6.50

C. 1.30/6.50 = x

D. 6.50x=1.30
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A student solved an equation, as shown below.
The first line shows 1 over 4 left Parenthesis 8 minus 12x right parenthesis equals x minus 2 left parenthesis 2x plus 1 right parenthesis, second line shows 2 minus 3x equals x minus 4x plus 2, third line shows 2 minus 3x equals 3x plus 2, fourth line shows 2 minus 3x plus 3x equals negative 3x plus 3x plus 2. Fifth line shows 2 equals 2.

Based on the student's work, complete the statement below.

Use the drop-down menus to make the statement below true.

The student solved the equation ​(Respond area 1)
because the original equation has ​(Respond area 2)
Respond area 1 : correctly, incorrectly
Respond area 2 : no solution, one solution, infinitely many solutions

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Jackson solved the problem 3x-8=2(2x-7) using the following steps:
STEP 1: Use Distributive Property to get 3x-8=4x-14
STEP 2: Use Addition Property of Equality to get 3x = 4x-14+8
STEP 3: Combine Like Terms to get 3x = 4x-6
STEP 4: Use Subtraction Property of Equality to get 3x-4x= -6
STEP 5: Combine Like Terms to get (-x)=-6
What is the last step?
A.
Use Property of Equality to get x= (-6)
B.
Divide both sides by -1 to get x=6
C.
Divide both sides by -1 to get x= (-6)
D.
Use Multiplication Property of Equality to get x=6
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Inline Dropdown Question
This is a ​(respond area 1)
relationship. The y-intercept is (respond area 2) ​
and the slope is ​(respond area 3)
. The equation of the line is slope-intercept form is ​(respond area 4)
respond area 1 : proportional, non proportional
respond area 2 : 2, 1/2, (1,0), (0,1)
respond area 3 : 2, 1/2, (1,0), (0,1)
respond area 4 : y = 1x+2, y = 1/2x+1, y = 2x+1, y=1/2x
.
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A computer technician charges a fixed amount for a repair, plus an additional amount per hour. The equation below describes y, the total amount the technician charges, in dollars, based on x hours for the repair.

y = 45x + 75

What is the meaning of the initial amount for the equation?

A.
It means the technician charges $45 per hour for the repair.

B.
It means the technician charges a fixed amount of $45 for the repair.

C.
It means the technician charges a fixed amount of $75 for the repair.
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