Quiz about Math 8 Algebra Honors – Placement Test & Final Exam Study Guide

Question 1

What is n + 7? (Choose the correct option)

Accepted Answer

An expression

Answer

An equation

Answer

An inequality

Question 2

What is n + 7 = 15? (Choose the correct option)

Accepted Answer

An equation

Answer

An expression

Answer

An inequality

Question 3

What is n + 7 > 15? (Choose the correct option)

Accepted Answer

An inequality

Answer

An equation

Answer

An expression

Question 4

Fill in the blanks for the order of operations: P stands for ____, E stands for ____, MD stands for ____, AS stands for ____

Accepted Answer

Parentheses, Exponents, Multiplication/Division Left to Right, Addition/Subtraction Left to Right

Answer

Parentheses, Exponents, Multiplication/Division Right to Left, Addition/Subtraction Right to Left

Answer

Parentheses, Exponents, Multiplication/Addition Left to Right, Subtraction/Division Left to Right

Answer

Parentheses, Exponents, Multiplication/Division First, Addition/Subtraction Second

Question 5

True or False: $$(−1)^2$$ = $$(−1) • (−1)$$ = $$1$$ but $$−1^2$$ = $$−(1)^2$$ = $$−1$$ .

Accepted Answer

True

Answer

False

Question 6

What is the reciprocal of x/y?

Accepted Answer

y/x

Answer

x*y

Answer

x-y

Answer

x/y

Question 7

The opposite of a number x is _____.

Accepted Answer

-x

Answer

$$x^2$$

Answer

1/x

Answer

x+1

Question 8

In which quadrant is the point (-3, 2) located?

Accepted Answer

Quadrant II

Answer

Quadrant I

Answer

Quadrant III

Answer

Quadrant IV

Question 9

What is the definition of Median according to the worksheet?

Accepted Answer

middle value when data placed in numerical order

Answer

the sum of all values divided by the number of values

Answer

the most frequently occurring value in a data set

Answer

the difference between the highest and lowest values

Question 10

What is the definition of Mode as per the worksheet?

Accepted Answer

most popular data item

Answer

average of all data items

Answer

difference between highest and lowest data items

Answer

sum of all data items

Question 11

What is a unit rate?

Accepted Answer

A unit rate is a rate with denominator of 1.

Answer

A unit rate is a rate with numerator of 10.

Answer

A unit rate is a rate with denominator of 100.

Answer

A unit rate is a rate with numerator of 0.

Question 12

According to the worksheet, how do you change units?

Accepted Answer

By multiplying by conversion ratios that are equal to 1.

Answer

By adding the units together.

Answer

By subtracting the units from each other.

Answer

By dividing by the largest unit.

Question 13

What is the first step in the general procedure for solving equations?

Accepted Answer

Distribute

Answer

Combine like terms

Answer

Get rid of the constant

Answer

Get rid of the coefficient

Question 14

Fill in the blank: When distributing with negative numbers, -(b + a) = _____

Accepted Answer

-b - a

Answer

b + a

Answer

-b + a

Answer

b - a

Question 15

Which of the following represents consecutive numbers?

Accepted Answer

n, n+1, n+2, ...

Answer

n, n+2, n+4, ...

Answer

n, n+3, n+6, ...

Answer

n, n-1, n-2, ...

Question 16

Fill in the blank: Consecutive even or odd numbers can be represented as n, _____, n+4, ...

Accepted Answer

n+2

Answer

n+3

Answer

n+5

Answer

n+6

Question 17

Rewrite the absolute value equation |x - 4| = 5 as two equations to solve.

Accepted Answer

x - 4 = 5 or x - 4 = -5

Answer

x + 4 = 5 or x + 4 = -5

Answer

x - 4 = 5 or x + 4 = 5

Answer

x = 5 or x = -5

Question 18

Solve the equation |2x - 1| = 7. What are the possible values of x?

Accepted Answer

x = 4 or x = -3

Answer

x = 3 or x = -4

Answer

x = 2 or x = -8

Answer

x = 1 or x = -7

Question 19

What happens to the inequality symbol if you multiply or divide both sides by a negative number?

Accepted Answer

The inequality symbol changes direction.

Answer

The inequality symbol stays the same.

Answer

The inequality symbol becomes an equal sign.

Answer

The inequality symbol disappears.

Question 20

Which type of circle is used on a number line for the inequalities < or >?

Accepted Answer

Open circle

Answer

Closed circle

Question 21

What is the formula for Distance-Rate-Time problems? d = ___

Accepted Answer

rt

Answer

r + t

Answer

r - t

Answer

r / t

Question 22

In Distance-Rate-Time problems, what is the formula for Average Speed? Fill in the blank: Average Speed = ______ / ______

Accepted Answer

Total Distance / Total Time

Answer

Total Time / Total Distance

Answer

Total Distance x Total Time

Answer

Total Time x Total Distance

Question 23

In the context of Distance-Rate-Time problems, what is the relationship for a 'There & Back' scenario? Fill in the blank: Distance There = ______

Accepted Answer

Distance Back

Answer

Time Back

Answer

Rate Back

Answer

Speed Back

Question 24

In the context of Distance-Rate-Time problems, what is the relationship for objects moving in opposite directions? Fill in the blank: Distance 1 + Distance 2 = ______

Accepted Answer

Total Distance

Answer

Average Distance

Answer

Relative Speed

Answer

Elapsed Time

Question 25

Jim can complete the job in 3 hours. John can complete the job in 5 hours. How long will it take if they work together?

Accepted Answer

1.88 hours

Answer

2.5 hours

Answer

4 hours

Answer

8 hours

Question 26

What is the general form of a linear equation?

Accepted Answer

y = mx + b

Answer

$$y = ax^2 + bx + c$$

Answer

y = |x|

Answer

y = kx

Question 27

What is the general form of a quadratic equation?

Accepted Answer

$$y = ax^2 + bx + c$$

Answer

y = mx + b

Answer

y = |x|

Answer

y = kx

Question 28

What is the general form of an absolute value equation?

Accepted Answer

y = |x|

Answer

y = mx + b

Answer

$$y = ax^2 + bx + c$$

Answer

y = kx

Question 29

What is the general form of a direct variation equation?

Accepted Answer

y = kx

Answer

y = mx + b

Answer

$$y = ax^2 + bx + c$$

Answer

y = |x|

Question 30

A graph of a direct variation will always be a straight line that goes through the origin (0, 0).

Accepted Answer

True

Answer

False

Question 31

What is the formula for the slope of a line?

Accepted Answer

m = y2 - y1 / x2 - x1

Answer

m = x2 - x1 / y2 - y1

Answer

m = y1 - y2 / x1 - x2

Answer

m = x1 - x2 / y1 - y2

Question 32

What is the slope of a horizontal line?

Accepted Answer

0

Answer

1

Answer

Undefined

Answer

2

Question 33

What is the slope of a vertical line?

Accepted Answer

Undefined

Answer

0

Answer

1

Answer

2

Question 34

What is the slope-intercept form of a linear equation?

Accepted Answer

y = mx + b

Answer

y = bx + m

Answer

x = my + b

Answer

y = m + bx

Question 35

In the equation y = mx + b, what does 'm' represent?

Accepted Answer

slope

Answer

intercept

Answer

variable

Answer

constant

Question 36

In the equation y = mx + b, what does 'b' represent?

Accepted Answer

y-intercept

Answer

slope

Answer

x-intercept

Answer

origin

Question 37

What is the standard form of a linear equation?

Accepted Answer

Ax + By = C

Answer

y = mx + b

Answer

$$x^2 + y^2 = r^2$$

Answer

$$y = ax^2 + bx + c$$

Question 38

Find the y-intercept of the equation 3x + 4y = 12.

Accepted Answer

(0, 3)

Answer

(3, 0)

Answer

(0, -3)

Answer

(4, 0)

Question 39

Find the x-intercept of the equation 3x + 4y = 12.

Accepted Answer

(4, 0)

Answer

(0, 3)

Answer

(3, 0)

Answer

(0, 4)

Question 40

Is the point (10, -1) above, on, or below the line 2x + 5y = 12?

Accepted Answer

Above the line

Answer

On the line

Answer

Below the line

Answer

Cannot be determined

Question 41

Calculate the slope between the points (1, 4) and (3, 10).

Accepted Answer

3

Answer

2

Answer

6

Answer

1

Question 42

Calculate the slope between the points (-10, 3) and (-2, -1).

Accepted Answer

-1/2

Answer

1/2

Answer

2

Answer

-2

Question 43

What is the slope of any line parallel to the line y = (2/3)x + 3?

Accepted Answer

2/3

Answer

3/2

Answer

-2/3

Answer

-3/2

Question 44

What is the slope of any line perpendicular to the line y = (3/4)x + 3?

Accepted Answer

-4/3

Answer

3/4

Answer

4/3

Answer

-3/4

Question 45

Given the slope 1/2 and the point (4, 5), what is the y-intercept of the line?

Accepted Answer

3

Answer

1

Answer

-2

Answer

5

Question 46

Using the point-slope form, what is the equation of the line with slope 1/2 passing through the point (4, 5)?

Accepted Answer

y = (1/2)x + 3

Answer

y = (1/2)x + 1

Answer

y = 2x + 1

Answer

y = (1/2)x - 3

Question 47

Monomials are either a ________, variable or the product of a number and one or more variables (one term).

Accepted Answer

number

Answer

fraction

Answer

equation

Answer

expression

Question 48

Polynomials are either a monomial or the sum/difference of 2 or more ________.

Accepted Answer

monomials

Answer

binomials

Answer

constants

Answer

variables

Question 49

The degree of a monomial is the sum of the ________ of the variables.

Accepted Answer

exponents

Answer

coefficients

Answer

bases

Answer

factors

Question 50

Naming Polynomials: 1 Term = Monomial, 2 Terms = Binomial, 3 Terms = Trinomial, 4+ Terms = Polynomial with ____ terms. Fill in the blank.

Accepted Answer

4

Answer

3

Answer

2

Answer

5

Question 51

What are the two steps in writing the standard form of a polynomial?

Accepted Answer

1) Combine like terms 2) Arrange terms from highest to lowest degree (exponent)

Answer

1) Add all coefficients 2) Arrange terms alphabetically

Answer

1) Multiply all terms 2) Arrange terms from lowest to highest degree

Answer

1) Factor the polynomial 2) Write terms in any order

Question 52

Add the polynomials: $$(7x^2 + 8x - 7) + (6x^3 + 2x^2 - 3x + 3)$$ . What is the result?

Accepted Answer

$$6x^3 + 9x^2 + 5x - 4$$

Answer

$$6x^3 + 5x^2 + 11x - 10$$

Answer

$$13x^3 + 10x^2 + 5x - 4$$

Answer

$$6x^3 + 9x^2 + 11x - 4$$

Question 53

Subtract the polynomials: $$(7x^2 + 8x - 7) - (2x^2 - 3x + 3)$$ . What is the result?

Accepted Answer

$$5x^2 + 11x - 10$$

Answer

$$9x^2 + 5x - 4$$

Answer

$$5x^2 + 5x - 4$$

Answer

$$9x^2 + 11x - 10$$

Question 54

Multiply the monomial: $$3x(5x^2 + 2x - 4)$$ . What is the result?

Accepted Answer

$$15x^3 + 6x^2 - 12x$$

Answer

$$15x^2 + 6x - 4$$

Answer

$$3x^3 + 10x^2 - 8x$$

Answer

$$15x^3 + 2x^2 - 4x$$

Question 55

Multiply the binomials using FOIL: (2x + 5)(x - 4). What is the result?

Accepted Answer

$$2x^2 - 3x - 20$$

Answer

$$2x^2 + 13x - 20$$

Answer

$$2x^2 - 8x + 20$$

Answer

$$2x^2 + 5x - 20$$

Question 56

Multiply the binomial and trinomial: $$(x + 4)(5x^2 - 6x + 3)$$ . What is the result?

Accepted Answer

$$5x^3 + 14x^2 - 21x + 12$$

Answer

$$5x^3 - 6x^2 + 3x + 20x^2 - 24x + 12$$

Answer

$$5x^3 + 14x^2 - 9x + 12$$

Answer

$$5x^3 + 20x^2 - 24x + 12$$

Question 57

What is the result of (x + 3)(x - 3)?

Accepted Answer

$$x^2 - 9$$

Answer

$$x^2 + 9$$

Answer

$$x^2 - 6x + 9$$

Answer

$$x^2 + 6x + 9$$

Question 58

What is the greatest common factor (GCF) of $$12x^6$$ , $$8x^3$$ , and $$20x^2$$ ?

Accepted Answer

$$4x^2$$

Answer

$$2x^3$$

Answer

$$8x^2$$

Answer

$$2x^2$$

Question 59

Factor the polynomial: $$12x^6 – 8x^3 + 20x^2$$ .

Accepted Answer

$$4x^2(3x^4 – 2x + 5)$$

Answer

$$2x^2(6x^4 – 4x + 10)$$

Answer

$$2x(6x^5 – 4x^2 + 10x)$$

Answer

$$4x(3x^5 – 2x^2 + 5x)$$

Question 60

Find two numbers that multiply to 10 and add to 7. What are the numbers?

Accepted Answer

5 and 2

Answer

4 and 3

Answer

6 and 1

Answer

10 and -3

Question 61

Find two numbers that multiply to 10 and add to -7. What are the numbers?

Accepted Answer

-5 and -2

Answer

5 and 2

Answer

-10 and 1

Answer

-1 and -10

Question 62

Find two numbers that multiply to -10 and add to 3. What are the numbers?

Accepted Answer

5 and -2

Answer

-5 and 2

Answer

10 and -1

Answer

-10 and 1

Question 63

Factor the polynomial: $$2x^2 + 22x + 48$$ by first finding the common factor and then factoring the resulting trinomial.

Accepted Answer

2(x + 8)(x + 3)

Answer

2(x + 6)(x + 4)

Answer

2(x + 12)(x + 2)

Answer

2(x + 4)(x + 6)

Question 64

Fill in the blank: To factor $$9x^2 + 9x - 40$$ , the two numbers that multiply to -360 and add to 9 are ____ and ____.

Accepted Answer

24 and -15

Answer

18 and -20

Answer

12 and -30

Answer

36 and -10

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