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Solving systems of equations by substitution_1

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
What is the first step in solving a system by Substitution?
a)
Make sure both equations are in standard form.
b)
Make sure at least one equation is solved for one variable.
c)
Make sure both equations are in slope-intercept form.
d)
Make sure both equations can be solved.
2.
The first step in solving using the substitution method is __________.
a)
get x by itself
b)
get y by itself
c)
get either variable by itself
d)
add the equations together
3.

Solve the system of equations.

a)

(10, 3)

b)

(6, 3)

c)

(15, 3)

d)

No solution

e)

Infinite Solution

4.

Solve the system of equations.

a)

(11, 21)

b)

(3, 11)

c)

(11, -67)

d)

No solution

e)

Infinite solutions

5.

Solve the system of equations.

a)

(-23, 4)

b)

(-4, -3)

c)

(-2, -4)

d)

No solution

e)

Infinite solutions

6.

Solve the system of equations.

a)

(-7, 8)

b)

(-7, -6)

c)

(8, -7)

d)

No solution

e)

Infinite solutions

7.

Solve the system of equations.

a)

(-6, 30)

b)

(-2, 10)

c)

(44, 39)

d)

No solution

e)

Infinite solutions

8.

Solve the system of equations.

a)

(-6, 1)

b)

(0, 0)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

9.

Solve the system of equations.

a)

(-34, -17)

b)

(8, 4)

c)

(10, 20)

d)

No solution

e)

Infinite solutions

10.

Solve the system of equations.

a)

(3, 33)

b)

(7, 77)

c)

(2, 22)

d)

No solution

e)

Infinite solutions

11.

Which graph represents a system of equations with infinite solutions?

a)
b)
c)
d)

None of the above

12.

Which graph represents a system of equations with no solution?

a)
b)
c)
d)

None of the above

13.

The system of equations of

y = -2

4x - 3y = 18

has which as a possible answer combination?

a)

(3, -2)

b)

-3, -6

c)

x = 3 and y = -2

d)

x = -3 and y = -6

14.

The ordered pair of (7, -2) means

a)

A slope of 7 and y-intercept of -2

b)

y = 7 and x = -2

c)

7 - 2 = 5

d)

x = 7 and y = -2

15.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

16.

Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
No solution
17.
y = -2x + 18
y = 8
a)
(5, 8)
b)
(-5, 8)
c)
(2, 8)
d)
(-2, 8)
18.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
19.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
20.
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. 

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