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Unit 4 Test - SAVVAS

Total questions: 33

Worksheet time: 3hrs 51mins

Name
Class
Date
1.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
2.
Solve for x and y
2x − 3y = −1
 y = x − 1
a)
(-2,-3)
b)
(0,-1)
c)
(3,4)
d)
(4,3)
3.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
4.
Solve:
y = 2x -11
-3y = -6x -15
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
5.
5x - 4y  =-16
x+ 2y = -6
a)
(-4,-1)
b)
(5,-1)
c)
(-5,-1)
d)
(4,1)
6.
What is the solution to this system?
x = 7 - 2y
2x + y = 5
a)
(-1,4)
b)
(4,-1)
c)
(1,3)
d)
(3,1)
7.
A test has twenty questions worth 100 points.  The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each.  How many multiple choice questions are on the test?
a)
20 Multiple Choice
b)
10 Multiple Choice
c)
15 Multiple Choice
d)
5 multiple choice
8.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
9.
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
10.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
11.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 
a)
y = 9.65 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
12.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
a)
1.5x+0.5y=78.5
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
13.

What is the solution to the system?

a)

(-1, 3)

b)

(-3, 1)

c)

(3, -1)

d)

(-3, -1)

14.

How many solutions are there in the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

15.

What is the solution to the system of equations?

a)

No Solution

b)

(2, 0)

c)

Infinitely Many Solutions

d)

(0, 2)

16.

What is the solution to the system of equations?

a)

(-1, -3)

b)

(3, 1)

c)

(1, 3)

d)

(-3, -1)

17.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
18.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
19.

The senior classes at High School A and High School B planned separate trips to the county fair. The senior class at High School A rented and filled 5 vans and 8 buses with 408 students. High School B rented and filled 10 vans and 2 buses with 172 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

a)

Van: 21, Bus: 8

b)

Van: 4, Bus: 21

c)

Van: 8, Bus: 46

d)

Van: 11, Bus: 38

20.

Jack and Matt are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Jack sold 7 small boxes of oranges and 8 large boxes of oranges for a total of $222. Matt sold 7 small boxes of oranges and 2 large boxes of oranges for a total of $108. What is the cost each of one small box of oranges and one large box of oranges?

a)

small box of oranges: $10, large box of oranges: $19

b)

small box of oranges: $16, large box of oranges: $17

c)

small box of oranges: $8, large box of oranges: $20

d)

small box of oranges: $6, large box of oranges: $16

21.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
22.
Solid or dashed line?  
Y <
a)
Solid
b)
Dashed
23.

Are the points on the line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

24.

Choose the correct inequality for this graph.

a)
b)
c)
d)
25.
a)

y < 5x + 1

b)

y > 5x + 1

c)

y ≤ 5x + 1

d)

y ≥ 5x + 1

26.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
b)
y < 2x - 4
y < 2
c)
y > 2x - 4
y <  2 
d)
y < 2x - 4
y <   -2
27.
Which system of linear inequalities is represented by the graph?
a)
y≤2x-1
y>-2x+3
b)
y>2x-1
y≤-2x+3
c)
y<2x-1
y≥-2x+3
d)
y≤2x-1
y>2x+3
28.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
29.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
30.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x   and  y ≤ -2x + 4
b)
y > 3x   and  y > -2x + 4
c)
y < 3x   and  y > -2x + 3
d)
y > 3x   and  y < -2x + 4
31.

What is a SYSTEM OF EQUATIONS?

a)

two or more equations involving the same variables

b)

absolute value solutions to an equation

c)

a graph of a line

d)

three equations with different variables

32.

How do you turn an equation in STANDARD FORM into SLOPE-INTERCEPT FORM?

a)

Solve the equation for y

b)

Graph the equation

c)

Do 25 push-ups

d)

Make a table of values

33.

What does a SOLUTION to a system of equations look like?

a)

an ordered pair

b)

an equation in slope-intercept form

c)

a graph of a line

d)

an orange llama

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