Quiz about 8R Final Exam Review

Question 1

Which choice correctly shows the values needed to graph the line y = -3x + 5?

Accepted Answer

m = -3, b = 5

Answer

m = 5, b = -3

Answer

m = 3, b = -5

Answer

m = -5, b = 3

Question 2

A T-shirt company designs custom shirts. They charge a one-time design fee on top of the cost per shirt. A graph displaying the relationship between the total cost, y, and the number of shirts sold, x, is shown below. What is the cost per shirt?

Accepted Answer

1

Answer

24

Answer

12

Answer

$$\frac{2}{3}$$

Question 3

Solve the equation for x: $$\frac{3}{4}x + 2 = 10 - \frac{1}{8}x$$

Accepted Answer

8

Answer

6

Answer

12

Answer

16

Question 4

Maria has 15 stamps in her collection. She plans to buy 5 more stamps every time she visits a new country. The total number of stamps (y) can be represented by the equation y = 5x + 15. What does the y-intercept represent?

Accepted Answer

the number of stamps she started with

Answer

the number of stamps she buys on each trip

Answer

the number of countries she visits

Answer

the total number of stamps after one trip

Question 5

A transformation is applied to rectangle X to create rectangle Y. - The angle measures of rectangle X remain the same in rectangle Y. - The side lengths of rectangle Y are twice as long as those of rectangle X. Which transformation must be included to create rectangle Y?

Accepted Answer

Dilation

Answer

Reflection

Answer

Translation

Answer

Rotation

Question 6

In the accompanying diagram, line AB intersects line CD at point E. If m \angle AEC = 5x - 20 and m \angle DEB = 3x + 6, find the value of x.

Accepted Answer

13

Answer

3.25

Answer

24.25

Answer

-1.75

Question 7

In the diagram below, a right triangle is shown. Two side lengths are known. Which equation could be used to find the third side?

Accepted Answer

$$x^2 + 4^2 = 5^2$$

Answer

x + 4 = 5

Answer

$$x^2 + 5^2 = 4^2$$

Answer

$$4^2 + 5^2 = x^2$$

Question 8

Consider the equation 4z + 9 = 4z - 3. Which statement best describes the solution?

Accepted Answer

The equation has no solution.

Answer

The equation has infinitely many solutions.

Answer

The equation has one solution, z = 0

Answer

The equation has two solutions.

Question 9

Which expression correctly translates the phrase: 6 more than 5 times a number n?

Accepted Answer

5n + 6

Answer

6n + 5

Answer

5n - 6

Answer

n + 6

Question 10

What is the y-intercept in the equation: y = -3x + 5?

Accepted Answer

5

Answer

-3

Answer

3

Answer

-5

Question 11

What is $$\sqrt{50}$$ to the nearest tenths place?

Accepted Answer

7.1

Answer

7.0

Answer

7.2

Answer

6.9

Question 12

On a graph, point C is located at (3, 2) and point D is located at (7, 6). If a line was drawn connecting point C to point D, then the slope of that line would be

Accepted Answer

1

Answer

2

Answer

4/3

Answer

3/2

Question 13

Solve the following system of equations: 2x + 5y = 41 3x + 2y = 26

Accepted Answer

(5, 6)

Answer

(3, 7)

Answer

(4, 8)

Answer

(6, 5)

Question 14

Which expression below is equivalent to $$(3x^4)^3$$ ?

Accepted Answer

$$27x^{12}$$

Answer

$$27x^7$$

Answer

$$9x^{12}$$

Answer

$$9x^7$$

Question 15

Which of the following is not defined?

Accepted Answer

1/0

Answer

5/1

Answer

$$1^5$$

Answer

$$5^{-2}$$

Question 16

What is the equation of a line that has a y-intercept of -4 and a slope of 1?

Accepted Answer

y = x - 4

Answer

y = -4x + 1

Answer

y = 4x - 1

Answer

y = -x + 4

Question 17

In order to simplify $$x^2 · x^4$$ , what would you do with the exponents?

Accepted Answer

add

Answer

multiply

Answer

divide

Answer

subtract

Question 18

A rectangular courtyard has an area of $$(x - 4)^2$$ . Which choice simplifies this area?

Accepted Answer

$$x^2 - 8x + 16$$

Answer

$$x^2 - 16$$

Answer

$$x^2 + 16$$

Answer

$$x^2 - 8x - 8$$

Question 19

How many solutions does this system have? 3x - y = 7, 6x - 2y = 14

Accepted Answer

infinite solutions

Answer

no solution

Answer

two solutions

Answer

one solution

Question 20

Find the product of $$5a^6$$ and $$4a^7$$ .

Accepted Answer

$$20a^{13}$$

Answer

$$9a^{42}$$

Answer

$$9a^{13}$$

Answer

$$20a^{42}$$

Question 21

What is the relationship between $\angle A$ and $\angle B$?

Accepted Answer

vertical angles

Answer

complementary angles

Answer

perpendicular angles

Answer

supplementary angles

Question 22

Which of the following lists the numbers $$\sqrt{20}$$ , $$2.5$$ , $$\frac{7}{3}$$ , and $$\pi$$ in order from least to greatest?

Accepted Answer

$$\frac{7}{3}$$ , $$2.5$$ , $$\sqrt{20}$$ , $$\pi$$

Answer

$$2.5$$ , $$\frac{7}{3}$$ , $$\pi$$ , $$\sqrt{20}$$

Answer

$$\frac{7}{3}$$ , $$\sqrt{20}$$ , $$2.5$$ , $$\pi$$

Answer

$$2.5$$ , $$\frac{7}{3}$$ , $$\sqrt{20}$$ , $$\pi$$

Question 23

What is the y value in the system of equations? 3x + 5y = 23 x = 2

Accepted Answer

3

Answer

4

Answer

5

Answer

2

Question 24

The expression $$\sqrt{115}$$ is a number between which two consecutive integers?

Accepted Answer

11 and 12

Answer

10 and 11

Answer

9 and 10

Answer

12 and 13

Question 25

Which equation is the same as 3x - y = 7?

Accepted Answer

y = -3x + 7

Answer

y = 3x + 7

Answer

y = 3x - 7

Answer

y = 3x - 7

Question 26

Which of the following sets of ordered pairs is a function?

Accepted Answer

{(2,6), (3,7), (4,8), (5,9)}

Answer

{(1,2), (2,3), (1,4), (3,5)}

Answer

{(0,1), (0,2), (1,3), (2,4)}

Answer

{(5,2), (6,2), (5,3), (7,4)}

Question 27

Is (4, 2) a solution to this system of equations? x + 3y = 10 2x + y = 10

Accepted Answer

Yes, because it is a solution to both equations

Answer

No, because it is not a solution to the first equation

Answer

No, because it is not a solution to the second equation

Answer

No, because it is not a solution to either equation

Question 28

Which is equivalent to $$4^{-2}$$ ?

Accepted Answer

$$\frac{1}{16}$$

Answer

$$$4^2$$$ -16

Answer

16

Answer

$$\frac{1}{8}$$

Question 29

Factor $$x^2 - 49$$ .

Accepted Answer

(x + 7)(x - 7)

Answer

(x + 14)(x - 14)

Answer

(x + 5)(x - 9)

Answer

x(x - 7)

Question 30

Which of the following graphs is not a function?

Accepted Answer

Graph C

Answer

Graph A

Answer

Graph B

Answer

Graph D

Question 31

Simplify: 3(n - 4)

Accepted Answer

3n - 12

Answer

3n + 12

Answer

-3n + 12

Answer

-3n - 12

Question 32

Factor $$x^2 - 15x$$ .

Accepted Answer

x(x - 15)

Answer

(x - 5)(x - 3)

Answer

(x - 1)(x - 15)

Answer

(x - 5)(x - 10)

Question 33

Factor Completely: $$3x^2 - 12$$

Accepted Answer

3(x + 2)(x - 2)

Answer

3(x + 4)(x - 4)

Answer

3x(x + 2)(x - 2)

Answer

3x(x - 4)(x - 2)

Question 34

Which of the following radical expressions cannot be simplified further?

Accepted Answer

$$\sqrt{11}$$

Answer

$$\sqrt{12}$$

Answer

$$\sqrt{20}$$

Answer

$$\sqrt{50}$$

Question 35

Which equation describes the line that is parallel to y = -3x + 2?

Accepted Answer

y = -3x - 7

Answer

y = 3x - 4

Answer

y = 2x + 5

Answer

y = x - 3

Question 36

A skating rink charges $4.00 for skate rental and $5.00 per hour. Which function can be used to determine, T, the total cost, for h, number of hours?

Accepted Answer

T = 4.00 + 5.00 h

Answer

T = 4.00 h + 5.00

Answer

T = 5.00 h - 4.00

Answer

T = 9.00 h

Question 37

Which equation has no solution?

Accepted Answer

2x + 5 = 2x + 7

Answer

4x - 8 = 2x + 2x - 8

Answer

5x - 3 = 2x + 3x - 3

Answer

7x + 2 = 7x + 2

Question 38

Divide the polynomial: $$\frac{8x^4 + 10x^2}{2x}$$ .

Accepted Answer

$$4x^3 + 5x$$

Answer

$$4x^3 + 5x^2$$

Answer

$$8x^3 + 10x$$

Answer

$$8x^3 + 5x^2$$

Question 39

Write $$\sqrt{12}$$ in simplest radical form.

Accepted Answer

$$$ 2\sqrt{3} $$$

Answer

$$3\sqrt{2}$$

Answer

$$4\sqrt{3}$$

Answer

$$\sqrt{6}$$

Question 40

Solve 5x + 7 = 2x - 8.

Accepted Answer

x = -3

Answer

x = -5

Answer

x = 5

Answer

x = 3

Question 41

Find the slope given (3, 12) and (7, 28).

Accepted Answer

4

Answer

3

Answer

5

Answer

2

Question 42

Multiply the polynomials and put in simplest form: (x + 2)(x + 5).

Accepted Answer

$$x^2 + 7x + 10$$

Answer

$$x^2 + 10x + 7$$

Answer

$$x^2 + 2x + 5$$

Answer

$$x^2 + 5x + 2$$

Question 43

Use the Pythagorean Theorem to determine whether the following are the sides of a right triangle: a = 6, b = 8, c = 12.

Accepted Answer

No, they are not the sides of a right triangle.

Answer

Yes, they are the sides of a right triangle.

Answer

Only if a = 8, b = 6, c = 12.

Answer

Only if a = 6, b = 12, c = 8.

Question 44

Reflect the triangle over the x-axis.

Accepted Answer

The triangle moves below the x-axis.

Answer

The triangle moves above the x-axis.

Answer

The triangle remains in the same position.

Answer

The triangle moves to the right of the x-axis.

8R Final Exam Review

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