AnswersMO-Algebra I AWriting and Solving Equations in Two Variables

Writing and Solving Equations in Two Variables — Unit test Answers

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What are the slope and the y-intercept of the linear function that is represented by the table?xy–1003

Question illustration
A
The slope is –3, and the y-intercept is .
Option A
B
The slope is –3, and the y-intercept is .
Option B
C
The slope is 3, and the y-intercept is .
Option C
D
The slope is 3, and the y-intercept is .
Option D
2
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The linear equation when b = 5 and m = –2 is

A
y = 5x – 2.
B
y = 5x + 2.
C
y = –2x – 5.
D
y = –2x + 5.
3

A line passes through the points (–2, –8) and (–4, –8). Which shows the graph of this line?

A
On a coordinate plane, a vertical line is at x = negative 2.
Option A
B
On a coordinate plane, a horizontal line is at y = negative 2.
Option B
C
On a coordinate plane, a vertical line is at x = negative 8.
Option C
D
On a coordinate plane, a horizontal line is at y = negative 8.
Option D
4

The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which statement describes the sequence of numbers generated by the function?

A
The depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm.
B
The depth of snow was 1.7 inches when the storm began, and 0.8 inches of snow fell each hour.
C
The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.
D
The depth of snow was 3.3 inches when the storm began, and 2.5 inches of snow fell in 1 hour.
6

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below.

Question illustration
A
The total number of stamps is 25.
B
The total value of the stamps is $18.75.
C
The total number of stamps is 35.
D
The total value of the stamps is $19.15.
7

A line passes through the points (9, 30) and (18, 30). Which statement is true about the line?

A
It has a slope of zero because the change in the y-values is 0.
B
It has no slope because the change in the y-values is 0.
C
It has a slope of zero because the change in the x-values is 0.
D
It has no slope because the change in the x-values is 0.
9

A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?

A
The line represents a direct variation because = .
Option A
B
The line represents a direct variation because it is horizontal.
C
The line does not represent a direct variation because it does not go through the origin.
D
The line does not represent a direct variation because –4(3) ≠ 4(3).
11

Consider the linear function that is represented by the equation and the linear function that is represented by the equation . Which statement is correct regarding their slopes and y-intercepts?

Question illustration
A
The function that is represented by the equation has a steeper slope and a greater y-intercept.
Option A
B
The function that is represented by the equation has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
Option B
C
The function that is represented by the equation has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
Option C
D
The function that is represented by the equation has a steeper slope and a greater y-intercept.
Option D
12

Which point is located at (5, –2)?

Question illustration
A
point A
B
point B
C
point C
D
point D
13

Jill converted the equation of the line into slope-intercept form and found the slope and y-intercept of the line as follows.What was her mistake?

Question illustration
A
She mixed up the slope and the y-intercept.
B
She got the sign of the slope wrong.
C
She got the sign of the y-intercept wrong.
D
She found the reciprocals of the slope and the y-intercept.
14

Which expression can be used to determine the slope of the line that passes through the points (–7, 3) and (1, –9)?

A
StartFraction 1 minus (negative 7) Over negative 9 minus 3 EndFraction
Option A
B
StartFraction 1 + (negative 7) Over negative 9 + 3 EndFraction
Option B
C
StartFraction negative 9 minus 3 Over 1 minus (negative 7) EndFraction
Option C
D
StartFraction negative 9 + 3 Over 1 + (negative 7) EndFraction
Option D

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