Free Printable Systems VACAY Review(Independent)

1.

Step 1: Add the equations to eliminate a variable.

a)

$12x=63$

b)

$12y=36$

c)

$12x=\ 36$

d)

$35y=63$

2.

Step 2: To solve for y, you...

a)

Add 12 to both sides.

b)

Subtract 12 from both sides.

c)

Divide both sides by 12.

d)

Multiply both sides by 12.

3.

Step 2: Solve for y.

a)

$y=12$

b)

$x=12$

c)

$y=3$

d)

$y=14$

4.

Step 3: Substitute 3 into the first equation and simplify.

a)

$6x+3=-27$

b)

$6\left(3\right)+5y=-27$

c)

$6x+53=-27$

d)

$6x+15=-27$

5.

Step 3: After substituting, to solve for y, you first...

a)

Add 15 to both sides.

b)

Subtract 15 from both sides.

c)

Multiply both sides by 15.

d)

Divide both sides by 6

6.

Step 3: After subtracting, you then...

a)

Add 6 to both sides.

b)

Subtract 6 from both sides.

c)

Multiply both sides by 6.

d)

Divide both sides by 6

7.

Step 3: Substitute, then solve for x.

a)

$x=42$

b)

$y=7$

c)

$x=-7$

d)

$x=-36$

8.

Step 4: Check and write the answer as an ordered pair.

a)

3 and -7

b)

(-7, 3)

c)

(3,- 7)

9.

Does the answer check in both equations?

a)

yes

b)

no

c)

I'm so funny!

d)

Can you help me in WIN?

10.

How do you feel about Solving by Addition?

a)

I've got this!

b)

It's starting to come back.

c)

I'm still not very confident.

d)

I'll see you for help in Breakout or WIN.

11.

What is the solution to this system?

a)

-1

b)

2

c)

(-1, 2)

d)

(2, -1)

12.

$y=3x-2$

Solving by graphing

Step 1: Find m and b for the FIRST equation

a)

m = 3, b = 2

b)

m = -2, b = -3

c)

m = 3, b = -2

d)

m = 3x, b = 2

13.

Solving by graphing

Step 1: Find m and b for the SECOND equation

a)

m = -2, b = 3

b)

m = 3, b = -2

c)

m = 2, b = 3

d)

m = 2x, b = 3

14.

Step 2: Graph the first equation

if m = 3 and b = -2

a)

b)

c)

d)

15.

Step 2: Graph the SECOND equation

if m = -2 and b = 3

a)

b)

c)

d)

16.

Step 3: The solution is the point of intersection.

a)

(3, -2)

b)

(-2, 3)

c)

(3, 2)

d)

(1, 1)

Systems VACAY Review(Independent)

Total questions: 16

Worksheet time: 8mins

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