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3.1 - 3.2 Alg 1 Review

Total questions: 46

Worksheet time: 2hrs 22mins

Name
Class
Date
1.
Is this function linear or nonlinear?
a)
linear
b)
nonlinear
2.
Is this function linear or nonlinear?
a)
linear
b)
nonlinear
3.
Why is this function nonlinear?
a)
This is a nonlinear function because it is vertical
b)
This is a nonlinear function because it is a straight line.
c)
This is a nonlinear function because it goes up and down.
d)
This is a nonlinear function because it is curved.
4.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

5.

Linear or nonlinear?

a)

Linear

b)

Nonlinear

6.
Which of these is a solution to the equation
y = 2x - 7?
a)
(2,-3)
b)
(0, 7)
c)
(3, 2)
d)
(-4, -1)
7.
Which of these is a solution to the equation
y = -5x?
a)
(1,5)
b)
(5, 1)
c)
(1, -5)
d)
(-5, 1)
8.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

9.
Which of the function(s) above are linear?
a)
Function I, only
b)
Function II, only
c)
Function I and Function II, only
d)
Function I, Function II, and Function III
10.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
11.

Which is the graph of y=-x+2? (make a table)

a)

A

b)

B

c)

C

d)

D

12.
The graph of x = 4 would be parallel to what?
a)
The x-axis
b)
The y-axis
c)
Both axes
d)
Neither axis
13.

Which table could be used with the function y = (1/2)x?

a)
b)
c)
d)
14.

Put this into standard form:

y = 3x + 2

a)

y + 3x = 2

b)

3x + y = 2

c)

3x - y = - 2

d)

3x - 2y = 2

15.
The point where the line crosses the y-axis is called the:
a)
origin
b)
x-intercept
c)
y-intercept
d)
slope
16.
What is the x- intercept of the line?
a)
x = 1
b)
x = 2
c)
x = -1
d)
x = -2
17.

Which graph represents the equation  y=4x1y=4x-1  

a)
b)
c)
d)
18.

Which graph represents the table?

a)
b)
c)
d)
19.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
20.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
21.
Identify the y-intercept for the function:
y=-3x
a)
-3
b)
0
c)
1
d)
-1
22.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
23.

What is the y-intercept:

7x + y = 10

a)

b = -10

b)

b = 1/7

c)

b = 7

d)

b = 10

24.
From the equation  y = 4x - 12,
identify the y-intercept.
a)
12
b)
3
c)
-12
d)
1/3
25.
What is the x and y intercept for the following equation ?
4x - 10y = 20
a)
x - int = 4    
y-int = -10
b)
x-int = 5
y-int = 2
c)
x - int = 5
y int = -2
d)
x -int = 4
y -int = -10
26.
True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
27.
True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
28.

Solve for y.


9x - 6y = 18


a)

y = 32x 3y\ =\ \frac{3}{2}x\ -\ 3

b)

y = 23x 3y\ =\ \frac{2}{3}x\ -\ 3

c)

y = 32x + 3y\ =\ \frac{3}{2}x\ +\ 3

d)

y = 32x 3y\ =\ -\frac{3}{2}x\ -\ 3

29.

Solve for y.

- 4x + 12y = - 36

a)

 y = 13x  3y\ =\ \frac{1}{3}x\ -\ 3  

b)

 y = 3x  3y\ =\ 3x\ -\ 3  

c)

 y = 13x +3y\ =\ -\frac{1}{3}x\ +3  

d)

 y = 13x + 3y\ =\ \frac{1}{3}x\ +\ 3  

30.

Write the equation of this graph.

a)

x = 2

b)

y = 2

c)

2x + y = 2

d)

x + 2y = 2

31.

Write the equation of the graph.

a)

y = -3

b)

x = -3

c)

x - 3y = 3

d)

3x - y = 3

32.

Find the graph of this linear equation.


6x - 4y = 24

a)
b)
c)
d)
33.

Find the graph of this linear equation


4x - 2y = 8

a)
b)
c)
d)
34.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

35.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

36.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3x + 2 = y

37.

Write the standard form of the equation for the line:

y = 1/4 x + 4

a)

x + 4y = 8

b)

x - 4y = -16

c)

y = x + 16

d)

4y + x = 8

38.
A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?
a)
y = 30 + 12.5x 
b)
y = 12.5 + 30
c)
y = 12.5 + 30x
39.
Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  
a)
20x + 15 = y 
b)
35x = y 
c)
15x + 20y = 150 
d)
150 - 20x = 15y 
40.
Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20. 
a)
y=2.50x+4
b)
2.50x+4y=20
c)
y=4x+2.5
41.

Write the following in standard form

12 - 3y = -x

a)

x-3y=-12

b)

-x+3y=12

c)

-x-3y=12

d)

-12=3y-x

42.

Write the following in standard form. What are the values of A, B, and C?

-6x-2y=9?

a)

A: -6 B: -2 C:9

b)

A: -6 B: 2 C: -9

c)

A: 6 B: 2 C: -9

d)

A: x B: y C: c

43.

Write in standard form. What are the values of A, B, and C.

10y = 3x - 30

a)

A: 10 B: 3 C: -30

b)

A: 3 B: -10 C: 30

c)

A: 1 B: (-10/3) C:10

d)

A: 3 B: 10 C: 30

44.

X intercepts; where line crosses the x-axis

is the same as

a)

solutions

b)

zeroes

c)

y-intercepts

45.

Which of the following best represents the zero of the graph shown?

a)

2

b)

2.5

c)

2.25

d)

-2

e)

9

46.

What is the zero of the function f(x) = -4x - 5

a)

-4

b)

-4x

c)

-4/5

d)

-5/4