Free Printable Linear Equations in Standard Form

Worksheets

Linear Equations in Standard Form

Total questions: 22

Worksheet time: 6hrs 30mins

Name

Class

Date

What is the slope-intercept form of a line?

Ax + By = C

y = mx + b

y - y1 = m(x - x1)

y = Ax + By

What is standard form of a line?

y = mx + b

Ax + By = C

y - y1 = m(x - x1)

y = Ax + By

Which equation is written in STANDARD form?

y = 1/2x + 2

y - 3 = -5(x + 2)

-7x + 2y = 9

3x + 2 = y

Write the standard form equation that passes through (0, -1) and (-6, -9)

-4x +3y = -4

-4x +3y = -3

-4x +3y = 5

-4x +3y = 10

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

(8, 0)

(0, 8)

(3, 0)

(0, 3)

Name the x- and y-intercepts for the equation:
5x - 3y = 15

(3, 0) and (0, -5)

(0, 3) and (-5, 0)

(5, 15) and (15, 3)

(0, -3) and (5, 0)

Which graph represents 2x + 4y = 12?

Which equation in standard form has a graph that passes through the point $\left(-4,2\right)$ and has a slope of $\frac{9}{2}$ ?

$9x-2y=36$

$9x-2y=26$

$9x-2y=-40$

$9x-2y=-10$

Write the equation of the line in standard form

2x + y = -3

3x + y = -2

-2x + y = -3

-2x + y = 3

10.

Rewrite the equation into Standard form

5x + 8y = 56

-5x + 8y = 56

8x + 5y = 56

5x + y = 7

11.

Which ordered pair could represent a y-intercept on a graph?

(6, 0)

(0, 4)

(-1, 3)

(2, 0)

12.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

y = 30 + 12.5x

y = 12.5 + 30

y = 12.5 + 30x

13.

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

20x + 15 = y

35x = y

15x + 20y = 150

150 - 20x = 15y

14.

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20.

y=2.50x+4

2.50x+4y=20

y=4x+2.5

15.

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

4x + 3y = 8.10

4x + 5y = 10.80

4x - 5y = 10.80

4x + 10.80y = 5

16.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

y = 8.5 + 25.5

y = 25.5 + 8.5x

y = 8.5 + 25.5x

17.

Given the point (0,5) and a slope of 7, write an equation in point-slope form

y - 0 = 7(x - 5)

y - 5 = 7(x - 0)

y - 7 = 5(x - 0)

y - 5 = 0(x - 7)

18.

Write the slope intercept form of the equation x - 3y = 6

y = -x - 2

y = x + 2

y = 1/3x - 2

y = -1/3x + 2

19.

Write the standard form of the equation for the line:

y = 1/4 x + 4

x + 4y = 8

x - 4y = -16

y = x + 16

4y + x = 8

20.

What is the equation of this line?

undefined

y = -2

x = -2

21.

Find the slope and y-intercept of:

2x - 3y = -12

slope = 2/3, y-intercept = -12

slope = -2/3, y-intercept = -3

slope = 2/3, y-intercept = 4

slope = -12, y-intercept = -3

22.

Find the slope and y-intercept of the following:

3x - y = 9

Slope = 3, y-intercept = -9

Slope = 9, y-intercept = 3

Slope = 3, y-intercept = 9

Slope = -1, y-intercept = 3

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Linear Equations in Standard Form

Total questions: 22

Worksheet time: 6hrs 30mins

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