Quiz about 08 Building Blocks of Algebra Unit Review

Question 1

What does 4⁵ mean?

Accepted Answer

4x4x4x4x4

Answer

4x5

Answer

5x5x5x5

Answer

4+4+4+4+4

Question 2

Evaluate 2x + 5(y - 1) when x=8 and y=5

Accepted Answer

36

Answer

20

Answer

31

Answer

-4

Question 3

Evaluation is a type of ____________

Accepted Answer

Simplification

Answer

Substitution

Answer

Solving

Answer

Distribution

Question 4

How many steps are there in PEMDAS?

Accepted Answer

4

Answer

5

Answer

6

Answer

3

Question 5

The Big Fraction Bar is a/an _______________ symbol.

Accepted Answer

all of these

Answer

grouping

Answer

operation

Answer

division

Question 6

A letter or symbol used to represent an unknown quantity, or a quantity whose value could change is called a...

Accepted Answer

variable

Answer

constant

Answer

coefficient

Answer

term

Question 7

Name the coefficient in the following equation:
5 - 8x = 17

Accepted Answer

8

Answer

5

Answer

8x

Answer

17

Question 8

Name the variable in the following statement:
3v +10 =15

Accepted Answer

v

Answer

3

Answer

10

Answer

15

Question 9

What type of statement is
4x²yz + 7m³?

Accepted Answer

Expression

Answer

Equation

Answer

Inequality

Answer

Relation

Question 10

Translate this phrase into an algebraic expression:
24 more than Victoria's test score.
Use x to represent Victoria's test score.

Accepted Answer

x + 24

Answer

24x

Answer

x - 24

Answer

x/24

Question 11

Translate this phrase into an algabraic expression.
78 less than Amari's test score
Use c to represent Amari's test score.

Accepted Answer

c - 78

Answer

c + 78

Answer

c/78

Answer

78 - c

Question 12

Translate this phrase intoan Algebraic expression.
57 more than 3 times Ziana's score
Use the variable g to represent Ziana's score.

Accepted Answer

3g + 57

Answer

57g + 3

Answer

3g - 57

Answer

57 - 3g

Question 13

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

Accepted Answer

4m - 8

Answer

4m + 8

Answer

8m - 4

Answer

8m + 4

Question 14

There were x cookies at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cookies that were left.

Accepted Answer

x - 16

Answer

16

Answer

x + 16

Answer

16 - x

Question 15

What word phrase can you use to represent "5x + 2"?

Accepted Answer

the sum of five times a number x and two

Answer

five times the sum of a number x and two

Answer

two times the sum of a number x and five

Answer

a number x times the sum of five and two

Question 16

Write a verbal expression for:
2a+6

Accepted Answer

6 more than the product of 2 times a number

Answer

6 less than the product of 2 times a number

Answer

6 more than the quotient of 2 and a number

Answer

twice the sum of a number and 6

Question 17

I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?

Accepted Answer

200 + 50x

Answer

200x + 50

Answer

200 + x + 50

Answer

12x(50 + 200)

Question 18

Write an algebraic expression for the following sentence:
"w increased by 5"

Accepted Answer

w + 5

Answer

w - 5

Answer

5w

Answer

w / 5

Question 19

Beth is 6 years younger than twice her brother's age. Write an algebraic expression for Beth's age representing her brother's age as "x".

Accepted Answer

2x - 6

Answer

6 - 2x

Answer

1/2x + 6

Answer

x + 6

Question 20

Rowe is planning a 7th grade field trip. Bus Company A charges a $40 rental fee plus $4 for each student. Bus Company B charges $100 plus $2 per student. Which expression represents the cost for Company B ?

Accepted Answer

100 + 2x

Answer

40 + 4x

Answer

40x + 4

Answer

100x + 2

Question 21

To represent the price of an item after a discount of 30% off of a price of P, which expression should you use?

Accepted Answer

0.70P

Answer

1.30P

Answer

0.30P

Answer

1.70P

Question 22

The normal price of an item is H dollars.  On a particular date, the store offers to take $30 off the price, then apply a 20% discount.  Which expression represents the new price?

Accepted Answer

0.80(P - 30)

Answer

30P - 0.20

Answer

0.80P - 30

Answer

0.80(30 - P)

Question 23

How many terms are in the expression
3a - 2a - c + 7

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 24

What are the terms in the expression
8x - 3y + 7 ?

Accepted Answer

8x, -3y, 7

Answer

8, -3, 7

Answer

x, y

Answer

8x, 3y, 7

Question 25

What is the constant (numerical term) in the expression:
5x- 3x+ 2x + 4 ?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 26

On saturday, the Corelli family payed Erika $8.00 an hour for babysitting, and gave her a $12.00 tip.  What does the x represent in the expression 8.00x+12.00 ?

Accepted Answer

The number of hours Erika babysat.

Answer

The amount Erika earned for the night.

Answer

How much Erika earned per hour

Answer

How much the Corellis tipped Erika

Question 27

The sum of a number and its opposite is...

Accepted Answer

Zero

Answer

Always negative

Answer

Always positive

Answer

Sometimes positive, and sometimes negative

Question 28

The Absolute Value is the distance a number is from _________ on the number line.

Accepted Answer

Zero

Answer

One

Answer

Its reciprocal

Answer

Its opposite

Question 29

Solve for x: |x|=10

Accepted Answer

10 and ^-10

Answer

Just 10

Answer

Just -10

Answer

No solution

Question 30

Solve for x: |x| = ^-10

Accepted Answer

No solution

Answer

10 and ^-10

Answer

Just 10

Answer

Just -10

Question 31

^-5(^-x + 3) =

Accepted Answer

5x - 15

Answer

5x + 15

Answer

5 - 3x

Answer

3x + 5

Question 32

2(4k + 7) =

Accepted Answer

8k + 14

Answer

4k - 9

Answer

4k + 9

Answer

8k - 14

Question 33

Simplify: ^-9( ^-3h - 8) =

[Subtraction is not your friend!]

Accepted Answer

27h + 72

Answer

-27h + 72

Answer

9 + 11h

Answer

-9 + 11h

Question 34

-4(8 + 7k)=

Accepted Answer

-32 - 28k

Answer

32 + 28k

Answer

12 + 11k

Answer

-12 + 11k

Question 35

Simplify:
2x + 2x =

Accepted Answer

4x

Answer

4x2

Answer

2x

Answer

2x2

Question 36

Simplify:
3a + 3b + 2a + 3b =

Accepted Answer

5a + 6b

Answer

6a + 5b

Answer

6a + 6b

Answer

5a + 9b

Question 37

Simplify:
2x + 7(x-9) =

Accepted Answer

9x-63

Answer

9x-9

Answer

9x+9

Answer

2x+7x-63

Question 38

Evaluate 2x²-3x+6 when x=^-5 :

Accepted Answer

71

Answer

-29

Answer

-59

Answer

41

Question 39

Simplify: x⁴x²

Accepted Answer

x6

Answer

x8

Answer

(2x)6

Answer

(2x)8

Question 40

Simplify: x¹²/x⁴

Accepted Answer

x8

Answer

x3

Answer

x16

Answer

x48

Question 41

Simplify: x^-3

Accepted Answer

1/(x3)

Answer

(-x)3

Answer

-3/x

Answer

x/(-3)

Question 42

Simplify: (3x²)³

Accepted Answer

27x6

Answer

9x6

Answer

3x6

Answer

9x5

Question 43

Simplify: (10x¹⁵)/(2x⁵)

Accepted Answer

5x10

Answer

8x10

Answer

5x3

Answer

8x3

Question 44

Simplify: (2x³y⁵)³

Accepted Answer

8x⁹y¹⁵

Answer

6x⁹y¹⁵

Answer

2x⁹y¹⁵

Answer

8x6y8

Question 45

Simplify: x⁷/x¹⁴

Accepted Answer

1/(x7)

Answer

1/(x2)

Answer

x7

Answer

x2

Question 46

The Power operation represents repeated _______________________.

Accepted Answer

Multiplication

Answer

Addition

Answer

Subtraction

Answer

Division

Question 47

Evaluate (2/3)⁵

Accepted Answer

32/243

Answer

32/5

Answer

10/15

Answer

1/5

Question 48

Factor the polynomial:
k²+7k+10

Accepted Answer

(k+2)(k+5)

Answer

(k-2)(k-5)

Answer

(k+10)(k+4)

Answer

(k+2)(k-5)

Question 49

Find the product: (2x + 1)(x - 3)

Accepted Answer

2x² - 5x - 3

Answer

-3x - 3

Answer

2x² + 5x - 3

Answer

2x² - 5x +3

Question 50

Divide:
(9x² + 6x) / (3x)

Accepted Answer

3x + 2

Answer

3x2 + 2x

Answer

5x2

Answer

3x + 6

Question 51

Describe how an expression is different than an equation:

Accepted Answer

Equations have symbols on both sides of an equals sign. Expressions don't.

Answer

Expressions have symbols on both sides of an equals sign. Equations don't.

Answer

Equations have variables, expressions do not.

Answer

Expressions have variables, equations do not.

Question 52

Which is an example of an inequality?

Accepted Answer

10m < 16

Answer

4 + x = 9

Answer

2a + 3b + 5c

Answer

(-3,4)

Question 53

Evaluate.

Accepted Answer

-20

Answer

20

Answer

12

Answer

-12

Question 54

Evaluate. [Hint: Turn the mixed numbers into improper fractions first.]

Accepted Answer

17/18

Answer

1 and 4/7

Answer

5 and 6/11

Answer

1 and 5/18

Question 55

Review: Which of the following are relations? Check all that apply

Accepted Answer

Equations

Accepted Answer

Inequalities

Answer

Expressions

Answer

Operations

Question 56

Review: Which of the following relations are open? Check all that apply

Accepted Answer

x=y

Accepted Answer

x<y

Answer

x=x

Answer

x<x

Question 57

What is the rank of ordinary distribution in PEMDAS?

Accepted Answer

MD

Answer

P

Answer

E

Answer

AS

Question 58

A 25,000-gallon pool is full when it springs a leak that lets 25 gallons per minute out of the pool. Which equation below describes this situation? Let t = time after the leak sprung (in minutes) and G = gallons remaining in the pool.

Accepted Answer

G= 25,000 - 25t

Answer

G = 25,000t - 25

Answer

G= 25t + 25,000

Answer

G= 25 + 25,000t

Question 59

Review: Find the simple interest earned for principal of $2,000 at an 8% rate for 5 years.

Accepted Answer

$800

Answer

$160

Answer

$80,000

Answer

$16

Question 60

Review: In the expression 4x + 35, the "4" is a _________ of "x"

Accepted Answer

Coefficient

Answer

Exponent

Answer

Term

Answer

Linear Term

Question 61

Find the difference. Subtraction is not your friend!!:
(8 - u) - (5u + 1)

Accepted Answer

-6u + 7

Answer

6u + 7

Answer

-4u + 7

Answer

4u - 7

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