Quiz about Algebra State Test

Question 1

In the equation y=mx+b, m is the ____.

Accepted Answer

Slope

Answer

Y-intercept

Answer

X-intercept

Answer

Origin

Question 2

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Accepted Answer

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

Answer

D: {1, -3, -4,}
R: {0, 1, 2, -4}

Answer

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

Answer

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

Question 3

Identify the domain of the following relation:

Accepted Answer

{-6, 0, 2, 4}

Answer

{-6, 14, 2, 28}

Answer

{(-6,14), (0,32), (2,38), (4,44)}

Answer

{14, 32, 38, 44}

Question 4

Find the x-intercept and y-intercept for this graph.

Accepted Answer

(3,0) (0,6)

Answer

(0,3) (0,6)

Answer

(3,0) (6,0)

Answer

(6,0) (0, 3)

Question 5

Which statement below accurately represents the graph?

Accepted Answer

$500 is earned for every 8 hours worked

Answer

$100 is earned for each hour worked

Answer

$100 is earned for every 2 hours worked

Answer

$200 is earned for every 3 hours worked

Question 6

Which of the following best describes   causation?

Accepted Answer

The more a person exercises the   more calories they burn.

Answer

The temperate gets warmer and   more student pass their math test.

Answer

Eating bread and higher death rates

Answer

Day light saving time and more   people wear blue socks

Question 7

Find the line of best fit for the data given above.

Accepted Answer

y = -2.4x + 128

Answer

y = 2.4x + 128

Answer

y = -2.4x - 128

Answer

y = 2.4x - 128

Question 8

Find the key features for the linear equation
2x + 3y = 12

Accepted Answer

slope -(2/3), y-intercept: 4, zero: 6

Answer

slope (2/3), y-intercept: 6, zero: 4

Answer

slope (2/3), y-intercept: 4, zero: 6

Answer

slope -(2/3), y-intercept: 6, zero: 4

Question 9

Solve:
7x - 3x - 8 = 24

Accepted Answer

8

Answer

-8

Answer

3.2

Answer

4

Question 10

Solve:
3(x - 2) = 18

Accepted Answer

8

Answer

6.7

Answer

4

Answer

-4

Question 11

Solve:
6(5x - 3) + 2 = 14

Accepted Answer

1

Answer

2

Answer

.5

Answer

-1

Question 12

Add. (3x + 8) + (4x² - 8)

Accepted Answer

4x2 + 3x

Answer

4x2 + 16

Answer

4x + 3x

Answer

4x² +3x -16

Question 13

Multiply. (x - 5)²

Accepted Answer

x² - 10x + 25

Answer

x2 - 25

Answer

x² + 10x - 25

Answer

x2 + 25

Question 14

Simplify. (x²y ) (x⁵y³)

Accepted Answer

x7y4

Answer

xy

Answer

x7y3

Answer

x10y3

Question 15

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

Accepted Answer

y=-3x-10

Answer

y=-1/3x-10

Answer

y=-10x+10

Answer

y=-4x-10

Question 16

Which equation represents the following graph?

Accepted Answer

y = 2x + 3

Answer

y = 3x + 2

Answer

y = -2x + 3

Answer

y = -3x + 2

Question 17

An electrician charges $25 to make a house call, plus $40 for every hour of work. Which equation shows how to find C, the total cost for having the electrician work for h hours?

Accepted Answer

C = 25+40h

Answer

C = 65+h

Answer

C = 65h

Answer

C = 25h +40

Question 18

You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule represents your business model?

Accepted Answer

y=13x + 7.5

Answer

y=13x - 7.5

Answer

y=20.5x

Answer

y=7.5x + 13

Question 19

What is the first step to solve this equation:
11 - 3x = 44

Accepted Answer

Subtract 11 from both sides

Answer

Add 3 to both sides

Answer

Add 11 to both sides

Answer

Divide 3 on both sides.

Question 20

What is the solution to the system.

Accepted Answer

(-3, 5)

Answer

(-6, 7)

Answer

(5, 5)

Answer

(-9, -7)

Question 21

What is the slope of the line that passes through the points
(21, 40) and (-7, -8)

Accepted Answer

12/7

Answer

7/12

Answer

-12

Answer

-1/12

Question 22

The length of spring can be modeled by the graph of the linear function shown.  What is the rate of change of length of the spring with respect to the weight?

Accepted Answer

2 inches per pound

Answer

3 inches per pound

Answer

0.5 inches per pound

Answer

8 inches per pound

Question 23

Which function best models the data?

Accepted Answer

y=4x

Answer

y=x+4

Answer

y=4x+1

Answer

x=4y

Question 24

Which expression is equivalent to

12m + 18n ?

Select all that apply.

Accepted Answer

3(4m + 6n)

Accepted Answer

6(2m + 3n)

Answer

4(3m + 5n)

Answer

3m(4 + 6n)

Question 25

Factor:
x²+ 7x - 30

Accepted Answer

(x + 10)(x - 3)

Answer

(x + 10)(x - 7)

Answer

(x - 10)(x + 3)

Answer

(x + 10)(x + 3)

Question 26

Factor
r² -16r + 60

Accepted Answer

(r - 6)(r - 10)

Answer

(r - 15)(r + 4)

Answer

(r - 6)(r + 10)

Answer

(r +30)(r - 2)

Question 27

What are the zeros?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 28

Does this graph have a maximum or minimum?

Accepted Answer

Minimum

Answer

Maximum

Question 29

What is the vertex?

Accepted Answer

(4,-4)

Answer

(2,0)

Answer

(0,2)

Answer

(6,0)

Question 30

Find the y-intercept of
f(x) = 2x²-2x + 1

Accepted Answer

1

Answer

2

Answer

-2

Answer

-1

Question 31

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 32

What are the roots of the function
f(x)= (x - 2)(x + 3)?

Accepted Answer

x = 2 or x = -3

Answer

x = - 2 or x = 3

Answer

The are no real roots

Answer

x = 2 or x = 3

Question 33

Question 33.

Accepted Answer

Not a Function

Answer

Function

Question 34

Is this graph a function or not a function?

Accepted Answer

Function

Answer

Not a Function

Question 35

Is this graph a function or not a function?

Accepted Answer

Not a Function

Answer

Function

Question 36

If h(a) = 3 - 2a
Find h(-3).

Accepted Answer

9

Answer

12

Answer

-2

Answer

-3

Question 37

Identify the function shown shown
.

Accepted Answer

Quadratic

Answer

Linear

Answer

Exponential

Answer

Not answering

Question 38

Is the graph linear, exponential, quadratic, or other?

Accepted Answer

Linear

Answer

Exponential

Answer

Quadratic

Answer

Other

Question 39

This system has _____ solutions

Accepted Answer

no

Answer

1

Answer

2

Answer

Infinitely many

Question 40

4x+8y=20
-4x+2y=-30

Accepted Answer

(7,-1)

Answer

(-7,1)

Answer

(2,-5)

Answer

(-2,5)

Question 41

Consider the first six terms of this sequence: 1, 3, 9, 27, 81, 243, . . .

What is a₁ ? What is a₃ ?

Accepted Answer

a₁ is 1 and a₃ is 9

Answer

a₁ is 3 and a₃ is 9

Answer

a₁ is 27 and a₃ is 9

Question 42

What is the value of the y-intercept of the function graphed?

Accepted Answer

-2

Answer

2

Answer

6

Answer

0

Question 43

The graph shows the distance to be traveled by a car from the time the driver leaves home, to the time he reaches his destination. Which of the following best describes the rate of change of the segment?

Accepted Answer

The car is traveling at 40 km/hr

Answer

The car is traveling at 60 km/hr

Answer

The car is traveling at 30 km/hr

Answer

The car is traveling at 20 km/hr

Question 44

Question 44.

Accepted Answer

G

Answer

F

Answer

H

Answer

J

Question 45

Is this mapping a function or not a function?

Accepted Answer

Function

Answer

Not a Function

Question 46

Which graph does NOT pass the vertical line test?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 47

Question 47.

Accepted Answer

{-7, -5, 2, 3, 7}

Answer

{-7, 7}

Answer

{1, 2, 3, 4, 5}

Answer

{1, 5}

Question 48

What is Mrs. Gordon's rate from 0 to 2 seconds?

Accepted Answer

2.5 feet per second

Answer

.4 feet per second

Answer

5 feet per second

Answer

.2 feet per second

Question 49

What was the average rate of change in the population from 1900 to 1990?

Accepted Answer

1.94 million people/year

Answer

175 million people/year

Answer

2.13 million people/year

Answer

-1 million people/year

Question 50

Evaluate f(x)=-2t²+ 1 for f(2)

Accepted Answer

-7

Answer

9

Answer

17

Answer

-17

Question 51

Which equation has x = 5 as the solution?

Accepted Answer

2x = 10

Answer

x + 15 = 10

Answer

2x = 5

Question 52

Solve:
8m - 9 > 71

Accepted Answer

m > 10

Answer

m > 1

Answer

m < 1

Answer

m > -48

Question 53

Solve the inequality:

5(v + 3) - 10v > -10

Accepted Answer

v < 5

Answer

v > 5

Answer

v > -5

Answer

v < -5

Question 54

What is the solution to the system of equations provided?

Accepted Answer

(2,2)

Answer

The system has no solution

Answer

There are many solutions

Answer

(2,-2)

Question 55

Find the product:
(3x + 2)(2x + 4)

Accepted Answer

6x² + 16x + 8

Answer

5x² +11x + 6

Answer

5x² + 16x + 6

Answer

6x² + 11x + 8

Question 56

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

Accepted Answer

f(x) = 5.57x + 25.05

Answer

f(x) = 25.05x + 5.57

Answer

f(x) = -5.57x + 25.05

Answer

f(x) = 5.57x - 25.05

Question 57

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = (x + 2)² - 1

Answer

f(x) = (x - 2)² - 1

Answer

f(x) = -(x + 2)² - 1

Answer

f(x) = -(x - 2)² - 1

Question 58

Is this a max or min?

Accepted Answer

max

Answer

min

Answer

cannot be determined

Question 59

.How many zeros does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 60

Solve using the quadratic formula

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 61

How many solutions does this graph have?

Accepted Answer

one

Answer

two

Answer

no solutions

Answer

cannot be determined

Question 62

Question 62.

Accepted Answer

F

Answer

G

Answer

H

Answer

J

Question 63

What are the x- intercepts?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 64

Does this parabola have a minimum or maximum and what is its value?

Accepted Answer

maximum: 5

Answer

minimum: 2

Answer

maximum: 2

Answer

minimum: 5

Algebra State Test

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