Linear Functions: Learn and Master the Basics for 1st Graders

Question 1

The number of apples in a basket increases by 2 for every basket added. What is the rate of change?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 2

The number of apples in a basket starts at 3. What is the initial value?

Accepted Answer

3

Answer

-2

Answer

0

Answer

2

Question 3

Which equation shows a line with a slope of -3 and a y-intercept of 2?

Accepted Answer

y = -3x + 2

Answer

y = 2x - 3

Answer

y = 3x + 2

Question 4

Which of the following is NOT a characteristic of a linear function?

Accepted Answer

It is a curved line

Answer

It has a constant rate of change

Answer

It can have a negative slope

Question 5

Which of these is true about linear functions?

Accepted Answer

They have a constant slope.

Answer

They can only have positive slopes.

Answer

They can only have negative slopes.

Answer

They always go up.

Question 6

Which of these equations shows a linear function that is parallel to the x-axis?

Accepted Answer

y = 2 (y equals two)

Answer

y = x + 2 (y equals x plus two)

Answer

y = 2x (y equals two x)

Answer

y = x^2 + 2 (y equals x squared plus two)

Question 7

What is the number that the line starts at in the equation y = 3x + 2?

Accepted Answer

2

Answer

3

Answer

5

Question 8

What is the number that tells you how steep the line is in the equation y = -2x + 5?

Accepted Answer

-2

Answer

2

Answer

5

Question 9

Which of these equations shows a line that goes up by 1/2 for every 1 across?

Accepted Answer

y = 1/2x + 2

Answer

y = 2x + 1

Answer

y = x/2 + 3

Question 10

What is the number that the line starts at in the equation y = 3x - 2?

Accepted Answer

-2

Answer

2

Answer

3

Question 11

When x is 0, what is the value of y in the equation y = 2x + 3?

Accepted Answer

3

Answer

0

Answer

2

Answer

4

Question 12

A car travels 240 miles in 4 hours. How fast is the car traveling?

Accepted Answer

60 miles per hour

Answer

4 hours per mile

Answer

240 miles

Answer

4 hours

Question 13

Which graph shows a line that goes up as you move from left to right?

Accepted Answer

Graph A: A line that goes up from left to right.

Answer

Graph B: A line that goes down from left to right.

Answer

Graph C: A line that stays flat from left to right.

Answer

Graph D: A line that goes straight up and down.

Question 14

Which of these graphs show a line that goes straight across?

Accepted Answer

A straight line

Answer

A circle

Answer

A square

Answer

A triangle

Question 15

What is the 'speed' of the line moving up and down on the graph?

Accepted Answer

The slope of the line

Answer

The y-intercept

Answer

The x-intercept

Answer

The area under the curve

Question 16

What is the starting point of the function y = 2x + 1 on the 'y' part of the graph?

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 17

Which of these is the equation for a line that moves up by 3 for each number you move across and starts at 2?

Accepted Answer

y = 3x + 2

Answer

y = 2x + 3

Answer

y = x + 3

Answer

y = 3x + 1

Question 18

Where does the line y = -x + 5 touch the 'y' part of the graph?

Accepted Answer

5

Answer

0

Answer

1

Answer

-5

Question 19

Which of these graphs shows a line that goes up from left to right?

Accepted Answer

[Image of a graph with a line sloping upwards]

Answer

[Image of a graph with a line sloping downwards]

Answer

[Image of a graph with a horizontal line]

Answer

[Image of a graph with a vertical line]

Question 20

What is the equation for a line that goes through the point (3, 2) and moves down by 1 for each number you move across?

Accepted Answer

y = -x + 2

Answer

y = -x + 5

Answer

y = x - 1

Answer

y = x - 5

Question 21

Which of the following is an example of a linear function?

Accepted Answer

y = 2x + 3

Answer

y = x^2

Answer

y = 1/x

Answer

y = |x|

Question 22

Which of the following is true about lines that increase by the same amount for each value of x?

Accepted Answer

Their slope is always the same.

Answer

Their y-intercept is always 0.

Answer

They are always increasing.

Answer

They are always decreasing.

Question 23

What is the y-intercept of the line y = 3x - 2?

Accepted Answer

-2

Answer

0

Answer

2

Answer

3

Question 24

Which of these graphs shows a line that goes down as you move across to the right?

Accepted Answer

A line with a negative slope

Answer

A line with a positive slope

Answer

A horizontal line

Answer

A vertical line

Question 25

Which of these equations shows a line that is horizontal?

Accepted Answer

y = 0

Answer

y = x

Answer

y = 2x + 1

Answer

y = -3x + 5

Question 26

What does the steepness of a line on a graph show?

Accepted Answer

How fast the line goes up or down

Answer

Where the line starts

Answer

What shape the line is

Answer

Which way the line is pointing

Question 27

Which of these is NOT a way to show a linear function?

Accepted Answer

A bar graph

Answer

A graph

Answer

An equation

Answer

A table

Question 28

What is the starting value of the function f(x) = 3x - 2?

Accepted Answer

-2

Answer

0

Answer

3

Answer

6

Question 29

Which of these equations represents a line that goes through the point (1, 2) and has a slope of 3?

Accepted Answer

y = 3x + 1

Answer

y = 3x - 2

Answer

y = 2x + 1

Answer

y = 2x - 3

Question 30

What is the y-intercept of the function y = 2x - 5?

Accepted Answer

-5

Answer

0

Answer

2

Answer

5

Question 31

Which of these is NOT a property of a linear function?

Accepted Answer

Periodic behavior

Answer

Constant rate of change

Answer

Straight line graph

Answer

Starting value

Question 32

What is the equation of the line that has a slope of -2 and a y-intercept of 3?

Accepted Answer

y = -2x + 3

Answer

y = 2x + 3

Answer

y = 3x - 2

Answer

y = -3x + 2

Question 33

Which graph shows a line that increases by 2 and starts at 3?

Accepted Answer

A line with a slope of 2 and a y-intercept of 3

Answer

A line with a slope of 3 and a y-intercept of 2

Answer

A line with a slope of 2 and a y-intercept of 1

Answer

A line with a slope of 1 and a y-intercept of 2

Question 34

Which of the following is an example of a linear function?

Accepted Answer

y = 2x + 1

Answer

y = x^2

Answer

y = sin(x)

Answer

y = |x|

Question 35

What is the initial value of the line represented by the graph that passes through the x-axis?

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 36

Which of the following equations represents a line with a rate of change of 3 and an initial value of 2?

Accepted Answer

y = 3x + 2

Answer

y = 2x + 3

Answer

y = 3x - 2

Answer

y = 2x - 3

Question 37

Which graph represents a line that decreases by 1 and starts at 5?

Accepted Answer

A line with a slope of -1 and a y-intercept of 5

Answer

A line with a slope of 5 and a y-intercept of -1

Answer

A line with a slope of -1 and a y-intercept of 4

Answer

A line with a slope of 4 and a y-intercept of -1

Question 38

What is the rate of change for the line whose graph is a horizontal line passing through the point (2, 3)?

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 39

Which graph represents a linear function with a positive slope?

Accepted Answer

A line going up from left to right

Answer

A line going down from left to right

Answer

A horizontal line

Answer

A vertical line

Question 40

What is the initial value of the function y = 2x + 1?

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 41

A farmer has 20 sheep and buys 5 more sheep each month. How many sheep will he have after 4 months?

Accepted Answer

60 sheep

Answer

40 sheep

Answer

80 sheep

Answer

100 sheep

Question 42

In the equation y = 2x + 5, what number shows how much y increases for every 1 increase in x?

Accepted Answer

2

Answer

5

Answer

There is no number that shows this.

Question 43

Which of the following functions has a rate of change of 3?

Accepted Answer

y = 3x + 2

Answer

y = 2x + 3

Answer

y = x + 3

Answer

y = 3 + x

Question 44

What is the value of y when x = 5 in the function y = 2x - 1?

Accepted Answer

Plug in 5 for x and solve for y

Answer

Use the rate of change to find the difference between y-values

Answer

Use the initial value to find the starting point of the function

Answer

Use the slope to find the angle of the line

Question 45

For the function y = 3x - 1, how much does y increase for each increase of 1 in x?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 46

Which of the following equations represents a linear function that has a slope of 2 and a y-intercept of 5?

Accepted Answer

y = 2x + 5

Answer

y = 5x + 2

Answer

y = x + 5

Answer

y = 2x - 5

Question 47

A farmer starts with 100 chickens. Each month, he buys 12 more chickens. Which equation can be used to find the total number of chickens he has after x months?

Accepted Answer

y = 100 + 12x

Answer

y = 100 - 12x

Answer

y = 12x + 100

Answer

y = 12x - 100

Question 48

Which of the following equations represents a linear function that decreases as x increases?

Accepted Answer

y = -3x + 4

Answer

y = 2x + 1

Answer

y = 1/2x - 2

Answer

y = 0.5x + 3

Question 49

A school is selling tickets to a play. Each ticket costs $5. If the school sells x tickets, how much money will they make?

Accepted Answer

5x

Answer

x + 5

Answer

5 - x

Answer

x - 5