Quiz about Algebra Review

Question 1

1. Which property justifies the following statement?

If 3a + 3b = 12 then 3(a + b ) = 12

Accepted Answer

Distributive property for multiplication

over addition

Answer

Commutative property of multiplication

Answer

Multiplicative identity property

Answer

Associative property of addition

Question 2

2. Consider the procedure used below to solve the given equation.

Given: -11(x+8) = 9

(1st step) -11x - 88 = 9

(2nd step) -11x = 97

(3rd step) x = -97/11

Accepted Answer

Distributive property

Answer

Transitive property of equality

Answer

Commutative property of addition

Question 3

3. Which statement is always true?

Accepted Answer

a + (-4 + 4) = a + 0

Answer

4 + a = 4a

Answer

a/4 = 4/a

Answer

4 - a = a - 4

Question 4

4.Which expression correctly represents $3 less than twice the cost, c?

Accepted Answer

2c - 3

Answer

3 - 2c

Answer

3 - 2 + c

Answer

c/2 - 3

Question 5

5.What is the value of (4x-5y) / 2y

if x = -6 and y = 2

Accepted Answer

-8.5

Answer

-26.5

Answer

-3.5

Answer

-0.5

Question 6

What is the solution to 4(2x-3) = 2(3x+1) ?

Accepted Answer

7

Answer

-5

Answer

1

Answer

10

Question 7

What is the apparent range of the function of x shown?

Accepted Answer

The set of all real numbers greater than or equal to 1.

Answer

The set of all real numbers greater than or equal to 4.

Answer

The set of all real numbers less than or equal to 1.

Answer

The set of all real numbers.

Question 8

The ordered pairs in the sets shown below are of the (x,y). In which set of ordered pairs is y a function of x ?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 9

Which of these data sets represents a function?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 10

Question 10.

Accepted Answer

-1

Answer

-2

Answer

1

Answer

2

Question 11

Which is a solution to the following equation?

Accepted Answer

x=14

Answer

x=12

Answer

x=2

Answer

x=0

Question 12

An engine is tested for torque output at different revolutions per minute.Which equation most closely defines the line of best fit for the data?

Accepted Answer

y= -3.1x + 383

Answer

y= 4.1x + 414

Answer

y= -4.1x + 414

Answer

y= 3.1x + 383

Question 13

The numbers in the table follow a linear pattern.

What is the missing y value?

Accepted Answer

182

Answer

180

Answer

176

Answer

172

Question 14

The table shows the clothing purchases Jenny made last month and the tax charged for each purchase.

Which equation represents the line that best fits the data?

Accepted Answer

t = 0.09c

Answer

t = 0.09c + 2.89

Answer

t = 0.91c

Answer

t = 1.09c

Question 15

Which graph best represents a line with a y-intercept of 4 and slope -3?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 16

Which could be an equation for the line shown on the grid?

Accepted Answer

y = -1/2x + 2

Answer

y = -1/2x - 2

Answer

y = -2x + 2

Answer

y = 2x - 2

Question 17

Which graph best represents a line with x-intercept of 2 and y-intercept of -3?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 18

What is the slope of the line that contains points (2, 3) and (2, -4)?

Accepted Answer

Undefined

Answer

0

Answer

-1/4

Answer

-4

Question 19

Which line on the graph below has a negative slope?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 20

What is the slope of the graph of y= 6x -1?

Accepted Answer

6

Answer

-6

Answer

-1

Answer

1/6

Question 21

What is the solution to this system of equations?

Accepted Answer

x=6, y=-2

Answer

x=2, y=2

Answer

x=2, y=3

Answer

x=2, y=1

Question 22

What is the solution to the following system of linear equations?

4x - y = -6x

- 2y = -5

Accepted Answer

(-1,2)

Answer

(0,6)

Answer

(1,2)

Answer

(2,-1)

Question 23

Which is most likely the solution to the system of equations shown in the graph?

Accepted Answer

(3, 4)

Answer

(4, 3)

Answer

(-2, 0)

Answer

(1, 0)

Question 24

Which is equivalent to (2x²)³ ?

Accepted Answer

8x8

Answer

6x6

Answer

8x5

Answer

6x5

Question 25

Which is equivalent to the following?

Accepted Answer

6a-6b+c

Answer

5a-6b+c

Answer

6a-6b-c

Answer

6a²-6b²+c²

Question 26

When completely factored x²-7x + 10 equals --

Accepted Answer

(x-5)(x-2)

Answer

(x-3)(x-4)

Answer

(x+5)(x-2)

Answer

(x+4)(x+6)

Question 27

What is the greatest common monomial factor of

3x³ + 6xy + 9x² + 12x²y²?

Accepted Answer

3x

Answer

x3y2

Answer

3x2y2

Answer

3

Question 28

When factored completely, x² - 9 equals--

Accepted Answer

(x + 3)(x - 3)

Answer

(x + 3)2

Answer

(x - 3)2

Answer

(x + 1)(x - 9)

Question 29

x²- 3x = 0

Which is the solution set for the equation above?

Accepted Answer

{ 0, 3 }

Answer

{ -3, 0 }

Answer

{ 1, 3 }

Answer

{ 2, 3 }

Question 30

What are the x-intercepts of the graph of the following equation?

y = x²+ 5x + 4

Accepted Answer

-4 and -1

Answer

-2 and 3

Answer

-1 and 1

Answer

-1 and 2

Question 31

The profit equation for a manufacturing firm is P = x - 2,500 where P is profit and x is the number of units sold.For what number of units sold does the company break even (P = 0)?

Accepted Answer

50 units sold

Answer

100 units sold

Answer

500 units sold

Answer

1,250 units sold

Question 32

Which is the simplest radical form?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 33

Which is closest to the value of q if

q = square root of 177 minus the square root of 256?

Accepted Answer

-2.7

Answer

29.3

Answer

24.5

Answer

-1.3

Question 34

A board that is c feet long supports the stairs as shown below.

To find the value of c, Britney used the following expression:

square root of (12² + 18²) What is c to the nearest tenth of a foot?

Accepted Answer

21.6 ft

Answer

36.0 ft

Answer

30.0 ft

Answer

13.4 ft

Question 35

The continent of North America has an area of approximately 2.2 x 10⁴ square miles. The area of Asia is approximately 6.50 x 10⁶ square miles. Approximately how many square miles larger is Asia than North America?

Accepted Answer

6.5 x 10⁶

Answer

-6.5 x 10⁶

Answer

3.4 x 10^-3

Answer

6.5 x 101

Question 36

Which is equivalent to the following expression?

(2.3 x 10) - (6.5 x 10)

Accepted Answer

16,500

Answer

-42

Answer

165

Answer

1,650

Question 37

For the data set shown, which measure is the greatest?

{ 5, 6, 6, 8, 9, 10 }

Accepted Answer

Mean

Answer

median

Answer

mode

Answer

range

Question 38

The table below shows the home construction firms in the community and the number of homes each built last year.

Which of the following statements is true regarding the number of homes built?

Accepted Answer

The median is greater than the mean.

Answer

The range is less than the mean

Answer

The mode is greater than the mean.

Answer

The mode is greater than the median.

Question 39

The number of words Maria typed varied directly with the amount of time she spent typing. If she typed 165 words in 3 minutes, how long would it take her to type 495 words?

Accepted Answer

9 minutes

Answer

3 minutes

Answer

165 minutes

Answer

6 minutes

Question 40

If y varies directly as x and the constant of variation is 9, which equation represents this relationship?

Accepted Answer

y = 9x

Answer

y = 9/x

Answer

y = x/9

Answer

y = -9x

Question 41

y varies directly as x. If x = 8 when y = 10 find x when y = 50

Accepted Answer

40

Answer

8

Answer

13

Answer

45

Question 42

In which of the following is y a direct variation of x?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 43

Which binomial is a factor of the following expression?

2x² - x - 1

Accepted Answer

2x - 1

Answer

x-1

Answer

2x + 2

Answer

2x + 1

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