Free Printable Linear equations (two variables)

1.

In the linear equation Ax + By = C, which of the following statements is always true??

a)

a. a, b and c are whole numbers

b)

b. a, b and c are cannot be negative

c)

c. a & b cannot be both zero

d)

d. a & b can both be zero

2.

What form is the following equation in?

$x+2y=3$

a)

Standard form

b)

Slope-intercept form

c)

Point-slope form

d)

Vertex form

3.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3y + 2 = x

4.

What is the correct next step to clearing the denominator to be able to write this equation in standard form?

$-y=\frac{3}{4}x-8$

a)

add 8 to both sides

b)

multiply both sides by -1

c)

multiply all terms on both sides by 4

d)

flip and multiply

e)

add y to both sides

5.

Write the equation below in standard form
y = 2/3 x +5

a)

-2/3x+y=5

b)

-4x+6y=15

c)

2x-3y=-15

d)

-2x+3y=15

6.

Which is Standard Form?

a)

Ax + By = C

b)

y = mx + b

c)

y - y₁= m(x - x₁)

7.

Given the points (-3, 2) and (1, -4), what is the standard form equation of the line?

a)

3x - 2y = 5

b)

3x + 2y = 5

c)

-3x + 2y = -5

d)

3x + 2y = -5

8.

Sarah wrote this as her final equation in standard form $-\frac{1}{2}x+y=-5$ .

Why is this wrong? (Select all that apply)

a)

She can't have a negative x value

b)

She can't have a fraction

c)

You can't have a y in the equation

d)

She has too many variables

9.

Identify the form of the following linear equation:

8x + y = 8

a)

Standard Form

b)

Slope - Intercept Form

c)

Neither

10.

Which of the following is the right form for Standard Form of a linear equation?

a)

$y=mx+b$

b)

$m=\frac{y_2-y_1}{x_2-x_1}$

c)

$y-y_1=m\left(x-x_1\right)$

d)

$Ax+By=C$

11.

Convert the equation below to STANDARD FORM.

$y=-\frac{7}{5}x-\frac{8}{5}$

(a)

12.

Write the following equation in function form:

$-2x+8y=2$

a)

$y=-2x+8$

b)

$y=\frac{1}{4}x+\frac{1}{4}$

c)

$y=-\frac{1}{4}x-\frac{1}{4}$

d)

$y=\frac{2}{8}x+4$

13.

Convert to Standard form:

$y-6=\frac{1}{3}\left(x+9\right)$

a)

$x-3y=-27$

b)

$x+3y=27$

c)

$x+3y=15$

d)

$x-3y=-15$

14.

Write the flowing equation in standard form.

-2y=-5x+2

(a)

15.

Convert the point-slope form equation y - 2 = -2(x - 3) to standard form.

a)

y - 2 = 2(x - 3)

b)

y - 2 = -2x - 6

c)

y - 2 = -2x + 6

d)

y + 2x = 8

16.

Which equation is in standard form:

a)

y = -2x + 6

b)

4x + 2y = 7

c)

y - 4 = 8(x - 3)

17.

Which of the following is the standard form of a linear equation in two variables?

a)

𝑦 = 𝑚𝑥 + 𝑏

b)

𝑦 = 𝑚𝑥 – 𝑏

c)

𝐴𝑥 + 𝐵𝑦 = 𝐶

d)

𝐴𝑥 - 𝐵𝑦 = 𝐶

18.

What is the equation below, in standard form?

y = -1/4x - 4

a)

x - 4y = 4

b)

x + 4y = -16

c)

x - 4y = -16

d)

x + 4y = -4

19.

Rewrite the equation into Standard form

Show your work on paper, then select the best answer!

a)

$5x+8y=56$

b)

$-5x+8y=56$

c)

$8x+5y=56$

d)

$5x+y=7$

20.

What is the standard form of a linear equation?

a)

Ax + By = D

b)

Ax + By = F

c)

Ax + By = C

d)

Ax + By = E

Linear equations (two variables)

Total questions: 20

Worksheet time: 22mins

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