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Ax + By = C Problems

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

2.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10 
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

3.

What is the y-intercept in the equation x + 2y = 4

a)

(0, 0)

b)

(0, 2)

c)

(4, 0)

d)

(2, 0)

4.

What is the formula for standard form?

a)

y=mx+b

b)

y-y1=m(x-x1)

c)

Ax+By=C

d)

rise÷run

5.

What is the x- intercept of the graph of 3x+4y=24

a)

12

b)

8

c)

-12

d)

-8

6.

What is the y-intercept of the graph of 3x+4y=24

a)

-6

b)

6

c)

15

d)

-15

7.

What is the y-intercept:

7x + y = 10

a)

b = -10

b)

b = 1/7

c)

b = 7

d)

b = 10

8.

What is the y - intercept of the following:27x - 9y = 27

a)

y-intercept = -3

b)

y-intercept = 3

c)

y-intercept = 1

d)

y-intercept = 27

9.

What is the x-intercept of
x+4y=7?

a)

(7/4, 0)

b)

(0, 7/4)

c)

(7, 0)

d)

(0,7)

10.

Which of the following are written in standard form?

a)

y=3x-5

b)

3x+16=5y

c)

2/3 x + 9/13 y = 21

d)

5x+7y=-12

11.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4    
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

12.

You took a standardized test on which all of the questions had to be answered. Your received 2 points for each correct answer but lost ½ point for each incorrect answer. Your score was 85 points. What information is given and what equation should you use?

a)

A slope and a y - intercept is given; use y = mx + b.

b)

A slope and a y - intercept is given; use y - y1 = m(x - x1).

c)

Two points are given; use y - y1 = m(x - x1).

d)

Two different items that add to a total are given; use Ax + By = C

13.

Mr. P goes to the comic book store and purchases issues of Justice League and X - Men. Justice league comics are priced at $4.99 each, and X - Men comics are priced at $3.99 each. He spent $36.92. What information is given and which equation should you use?

a)

A slope and y - intercept are given; use y = mx + b.

b)

A slope and y - intercept are given; use y - y1 = m(x - x1).

c)

Two points are given; use y - y1 = m(x - x1).

d)

Two different items that add to a total are given; use Ax + By = C

14.

You and your friends go to the movies and purchase some popcorn and Pepsi. Popcorn is sold for $4.99 per bag and Pepsi is sold for $1.99 per bottle. You each chip in to pay $24.92. Write an equation to represent the given situation.

a)

y = 1.99x + 4.99

b)

y = 4.99x + 24.92

c)

y - 1.99 = 4.99(x - 24.92)

d)

1.99x + 4.99y = 24.92

15.

Classroom performance points are worth 0.25 of your overall score and concept checks are worth 0.375 of your overall score. A student has earned 46.25% of their overall grade from these two categories alone. Write an equation to represent the given situation.

a)

y = 0.25x + 0.375

b)

y - 0.375 = 0.25(x - 46.25)

c)

y - 46.25 = 0.25(x - 0.375)

d)

0.25x + 0.375y = 46.25

16.

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation to represent the given situation.

a)

y = -0.5x + 34

b)

y = -34x + 0.5

c)

y - 34 = 0.5(x - 1)

d)

34x - 0.5y = 33.5

17.

Write and solve a linear equation in standard form

Ax+By=CAx+By=C

a)

They sold 14 all-season tires

b)

They sold 32 all-terrain tires

c)

They sold 32 all-season tires

d)

They sold a whole bunch of tires that day

18.

Write and solve a linear equation in slope-intercept form  y=mx+by=mx+b  
where m is the rate of change and b is the starting point.

a)

Total cost is $1.29 per song

b)

Total cost is $2 for the app

c)

Total cost is $40.70 to download 30 songs

d)

Total cost is $38.70 to download 30 songs

19.

Write and solve a linear equation in standard form \(Ax+By=C\)

a)

888 children

b)

700 children

c)

$1.50 per adult

d)

$4,050

20.

Write and solve a linear equation in standard form Ax + By = C

a)

They sold 16 tomatoes

b)

They sold 16 pumpkins

c)

They sold 10 tomatoes

d)

The cart tipped over and squished all the vegetables