Free Printable Solving Linear Equations

1.

Solve for x:
2x + 5 = 12

a)

7

b)

3

c)

3.5

d)

8.5

2.

Solve for x:
4x + 1 = 7x - 5

a)

-1

b)

2

c)

6/11

d)

8

3.

Solve for x:
2 - 4x = 3x - 12

a)

2

b)

-14

c)

10

d)

-2

4.

Solve for x:
6(2x + 1) = 18

a)

3

b)

17/12

c)

1

d)

2

5.

Solve for x:
2(3x + 4) + 2 = 4 + 3x

a)

2

b)

-2/3

c)

10

d)

-2

6.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

7.

What is the solution?

a)

(2, 2)

b)

(3, 2)

c)

(3, 4)

d)

(2, 3)

8.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

9.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

10.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

11.

What is a solution of a linear system?

a)

the slope of the line

b)

the y-intercept

c)

the point where the graphs intersect

d)

the rise over run

12.

Is the ordered pair a solution to the system?

a)

Yes

b)

No

13.

Is the ordered pair a solution to the system?

a)

Yes

b)

No

14.

Solve the system by graphing.

a)

$\left(0,4\right)$

b)

$\left(-1,1\right)$

c)

$\left(4,8\right)$

d)

\left(2,6\right)

15.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

16.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

17.

What is the
slope-intercept form
of the equation
-8x+2y=4

a)

none

b)

y=2-4x

c)

y=4x+2

d)

y=4x-8y

18.

If m=3 and b=6, what is the correct slope intercept equation?

a)

none

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

19.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

20.

Which system of equations has one solution?

a)

b)

c)

21.

Convert the equation into slope-intercept form.

$3x+y=12$

a)

y = -3x +12

b)

x = y + 4

c)

x = y + 12

d)

y = 3x -12

22.

Convert the equation into slope-intercept form. $10x\ -5y=30$

a)

y = 2x - 6

b)

y = -2x + 6

c)

y = -10x + 30

d)

y = 10x - 30

23.

Graph using your calculator and then find the solution (intersection point). $5x+4y=-14$

$y=-7x-15$

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

24.

Graph using your calculator and then find the solution (intersection point).

$x+2y=2$

$x=4y+2$

a)

(-3, 0)

b)

(0, 2)

c)

(-3, -2)

d)

(2, 0)

Solving Linear Equations

Total questions: 24

Worksheet time: 3hrs 34mins

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