Quiz about Linear Functions (Readiness Standards)

Question 1

A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?

Accepted Answer

$100 per deposit

Answer

$50 per deposit

Answer

$0.50 per deposit

Answer

$2 per deposit

Question 2

What is the solution to this system of equations?

$$-3x+5y=21$$

$$6x-y=-15$$

Accepted Answer

(-2,3)

Answer

(2,27)

Answer

(2,0)

Answer

(-3,-3)

Question 3

The function $$y=3.75+1.5(x-1)$$ can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?

Accepted Answer

$1.50 per mile

Answer

$3.75 per mile

Answer

$4.25 per mile

Answer

$5.25 per mile

Question 4

What is the solution to $$34x+95=3(14x+9)$$ ?

Accepted Answer

x = 8.5

Answer

x = 2

Answer

x = 3

Answer

x = 4

Question 5

What is the solution to the equation $$5(2w+4)=4(2w+9)$$ ?

Accepted Answer

w = 8

Answer

w = 5/2

Answer

w = 28/9

Answer

w = 5

Question 6

The graph of linear function g is shown on the grid. What is the zero of g?

Accepted Answer

-6

Answer

-8

Answer

-4

Answer

-2

Question 7

The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for this function?

Accepted Answer

-0.2

Answer

-0.8

Answer

-1.0

Answer

-0.5

Question 8

What is the solution to $$8x-3(2x-4)=3(x-6)$$ ?

Accepted Answer

30

Answer

6

Answer

2

Answer

No solution

Question 9

The graph of a function is shown on the grid. Which ordered pair best represents the location of the y-intercept?

Accepted Answer

(0, -2)

Answer

(1/3, 0)

Answer

(0, 1/3)

Answer

(-2, 0)

Question 10

Which ordered pair is in the solution set of $$8x+16y>32$$ ?

Accepted Answer

(-3, 5)

Answer

(0, 2)

Answer

(-1, 1)

Answer

(4, 0)

Question 11

The graph of linear function g passes through the points $$(-7,-4)$$ and $$(7,6)$$ , as shown. What are the slope and y-intercept of the graph of g?

Accepted Answer

The slope is 5/7, and the y-intercept is 1.

Answer

The slope is 5/7, and the y-intercept is -1.

Answer

The slope is 7/5, and the y-intercept is -1.

Answer

The slope is 7/5, and the y-intercept is 1.

Question 12

What is the value of y in the solution to this system of equations?

$$6y+x=-59$$

$$x=-2y+9$$

Accepted Answer

-17

Answer

8.5

Answer

43

Answer

-12.5

Question 13

What is the zero of the linear function graphed below?

Accepted Answer

1

Answer

2

Answer

0

Answer

-2

Question 14

Which ordered pair is in the solution set of $$y\ge\frac{1}{3}x+4$$ ?

Accepted Answer

(-1, 6)

Answer

(-6, 1)

Answer

(6, -1)

Answer

(1, -6)

Question 15

What is the slope of the graph of y = 12x - 19?

Accepted Answer

12

Answer

-19

Answer

-12/19

Answer

19/12

Question 16

Given $$f(x)=6(1-x)$$ , what is the value of $$f(-8)$$ ?

Accepted Answer

54

Answer

-19

Answer

-12/19

Answer

19/12

Question 17

A coach has 96 golf balls for the school's golf team. The coach will give each player on the team 8 golf balls. The graph shows the linear relationship between y, the number of golf balls remaining for the team, and x, the number of players on the team. The coach will use no more than 6 players on the school's golf team. Which set best represents the range of the function for this situation?

Accepted Answer

{96, 88, 80, 72, 64, 56, 48}

Answer

{96, 84, 72, 60, 48, 36, 24}

Answer

{8, 9, 10, 11, 12, 13, 14}

Answer

{0, 1, 2, 3, 4, 5, 6}

Question 18

A function is shown. $$g(x)=6(2x+7)$$ What is the value of $$g(20)$$ ?

Accepted Answer

282

Answer

167

Answer

324

Answer

247

Question 19

A function is shown. $$f(x) = 7 - 4x$$ What is the value of $$f(-5)$$ ?

Accepted Answer

27

Answer

-13

Answer

-15

Answer

140

Question 20

What is the solution to the system of equations below?

$$4x - 7y = -2$$

$$12x - 21y = -42$$

Accepted Answer

There is no solution.

Answer

The ordered pair $$\left(-\frac{1}{2},\ 0\right)$$ is the solution.

Answer

The ordered pair $$(0,\frac{2}{7})$$ is the solution.

Answer

There are an infinite number of solutions.

Question 21

The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed. Based on the table, which function models this situation?

Accepted Answer

f(n) = -3n + 24

Answer

f(n) = -1/3 n + 16

Answer

f(n) = -3n + 64

Answer

f(n) = -1/3 n + 8

Question 22

The table represents some points on the graph of a linear function. Which function represents the same relationship?

Accepted Answer

h(x) = -3x - 10.5

Answer

h(x) = -x - 3.5

Answer

h(x) = 3x - 10.5

Answer

h(x) = x - 3.5

Question 23

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately $$450m$$ when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of $$0.06m$$ per day. Which function can be used to find the thickness of the ice shelf in meters x days since the discovery?

Accepted Answer

t(x) = 450 - 0.06x

Answer

t(x) = -0.06(x + 450)

Answer

t(x) = 450 + 0.06x

Answer

t(x) = 0.06(x + 450)

Question 24

Hot dogs and bags of popcorn were sold at a concession stand. One family paid $8.00 for 2 hot dogs and 3 bags of popcorn. Another family paid $16.50 for 5 hot dogs and 4 bags of popcorn. Which system of equations can be used to determine the price in dollars of a hot dog, x, and the price in dollars of a bag of popcorn, y?

Accepted Answer

2x + 3y = 8

5x + 4y = 16.5

Answer

5x + 4y = 8

2x + 3y = 16.5

Answer

2x + 5y = 8

3x + 4y = 16.5

Answer

3x + 2y = 8

4x + 5y = 16.5

Question 25

The graphs of lines $$k1$$ and $$k2$$ are shown on the grid. Which system of equations is best represented by this graph?

Accepted Answer

3x - y = 2

4x + 9y = 36

Answer

3x - y = 6

4x + 9y = 4

Answer

x - 3y = -18

9x + 4y = 9

Answer

x + y = 10

9x + 4y = 13

Question 26

The function $$f(x)=-4x+8$$ represents the first of two equations in a system of linear equations. The second equation in the system has a different slope than the first equation. Which statement is true about the solution to the system of equations?

Accepted Answer

The system has exactly one solution.

Answer

The system has no solutions.

Answer

The system has exactly two solutions.

Answer

The system has infinitely many solutions.

Question 27

A system of equations is graphed on the grid. Which system of equations is best represented by the graph?

Accepted Answer

y = 2/5x - 3

y = -3/5x - 8

Answer

y = 2/5x - 8

y = -3/5x - 3

Answer

y = 5/2x - 3

y = -3/5x - 3

Answer

y = 5/2x - 8

y = -3/5x - 3

Question 28

Which inequality describes all the solutions to $$5(3-x)<-2x+6$$ ?

Accepted Answer

x > 3

Answer

x < -9

Answer

x < -3

Answer

x > 7

Question 29

The graph of a line is represented by the equation $$5x-8y=40$$ .

Which value represents the rate of change of y with respect to x for the equation?

Accepted Answer

5/8

Answer

-8/5

Answer

-5/8

Answer

8/5

Question 30

Which graph represents $$-3x+5y=-15$$ ?

Accepted Answer

Question 31

What is the slope of the line that passes through the points $$(26,7)$$ and $$(-39,12)$$ ?

Accepted Answer

-1/13

Answer

5/13

Answer

-13

Answer

13/5

Question 32

Which graph best represents the solution set of $$y\le-4x$$ ?

Accepted Answer

Question 33

A system of linear equations is shown. $$6x-2y=10$$

$$y=3x-5$$ . Which statement about the system is true?

Accepted Answer

The system has infinitely many solutions.

Answer

The system has one solution, (-1, -8).

Answer

The system has one solution, (3, 4).

Answer

The system has no solutions.

Question 34

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 price 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?

Accepted Answer

3x + 4y = 64

x + 8y = 68.

Answer

4y = 3x + 64

8y = x + 68.

Answer

4y = 3x + 64

8y = x + 60.

Answer

3x + 4y = 64

x + 8y = 60.

Question 35

Which graph best represents the solution set of $$y > 3x - 4$$ ?

Accepted Answer

Question 36

What is the solution to this system of equations?

$$2x+y=40$$

$$x-2y=-20$$

Accepted Answer

(12, 16)

Answer

(15, 17.5)

Answer

There is no solution.

Answer

There are an infinite number of solutions.

Question 37

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes. Which function shows the relationship between $$y$$ , the total number of jars of tomato sauce remaining in the pantry, and $$x$$ , the number of boxes in the pantry?

Accepted Answer

C. $$y = 8x - 2$$

Answer

A. $$y = 8x + 6$$

Answer

B. $$y = 8x$$

Answer

D. $$y = 6x$$

Question 38

The domain and range of part of linear function r are given. x > 5 y < 2 Which graph could represent this part of the linear function r?

Accepted Answer

Question 39

What is the slope of the line that passes through the points $$(5,-11)$$ and $$(-9,17)$$ ?

Accepted Answer

-2

Answer

-1/2

Answer

7

Answer

2

Question 40

What is the slope of the line represented by $$5x-12y=24$$ ?

Accepted Answer

5/12

Answer

-2

Answer

24/5

Answer

-12

Linear Functions (Readiness Standards)

45 questions

A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?

SOLUTION:
CROSS
MEET
INTERSECT
SAME
EQUAL
TYPE: NSOLVE( ,y)
TAB
TYPE: NSOLVE( ,y)
MENU 6 4

The table shows the linear relationship between the balance of a student’s savings account and the number of weeks he has been saving. Based on the table, what was the rate of change of the balance of the student’s savings account in dollars and cents per week?

RATE OF CHANGE
RISE/RUN
SLOPE

NSOLVE
MENU 3 1
VARIABLE AND = SIGN!

NSOLVE
MENU 3 1
VARIABLE AND = SIGN!

The graph of linear function g is shown on the grid. What is the zero of g?

RED: X-INTERCEPT
BLUE: Y-INTERCEPT

The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for this function?

NSOLVE
MENU 3 1
VARIABLE AND = SIGN!

The graph of a function is shown on the grid. Which ordered pair best represents the location of the y-intercept?

WHERE IT CROSSES THE Y-AXIS

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Linear Functions (Readiness Standards)

45 questions

A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?

SOLUTION:CROSSMEETINTERSECTSAMEEQUALTYPE: NSOLVE( ,y)TABTYPE: NSOLVE( ,y)MENU 6 4

The table shows the linear relationship between the balance of a student’s savings account and the number of weeks he has been saving. Based on the table, what was the rate of change of the balance of the student’s savings account in dollars and cents per week?

RATE OF CHANGERISE/RUNSLOPE

NSOLVEMENU 3 1 *VARIABLE AND = SIGN!*

NSOLVEMENU 3 1*VARIABLE AND = SIGN!*

The graph of linear function g is shown on the grid. What is the zero of g?

RED: X-INTERCEPTBLUE: Y-INTERCEPT

The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for this function?

NSOLVEMENU 3 1*VARIABLE AND = SIGN!*

The graph of a function is shown on the grid. Which ordered pair best represents the location of the y-intercept?

WHERE IT CROSSES THE Y-AXIS

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Similar Resources on Wayground

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SOLUTION:
CROSS
MEET
INTERSECT
SAME
EQUAL
TYPE: NSOLVE( ,y)
TAB
TYPE: NSOLVE( ,y)
MENU 6 4

RATE OF CHANGE
RISE/RUN
SLOPE

NSOLVE
MENU 3 1
VARIABLE AND = SIGN!

NSOLVE
MENU 3 1
VARIABLE AND = SIGN!

RED: X-INTERCEPT
BLUE: Y-INTERCEPT

NSOLVE
MENU 3 1
VARIABLE AND = SIGN!