Review: Developmental Math 2020

Review: Developmental Math 2020

This review will guide you on what will be covered during the final exam.

Chapter 1 Review

• Know what standard form, written form and expanded form of a number means.

• Understand place value and why it is important when rounding

• Understand mathematical operations; addition, subtraction, multiplication and division.

• Perform evauations using: orders of operation and substitution

• Be able to do simple story problems.

Fill in the Blank

Write fifty-eight million, four hundred two thousand, twelve in standard form

Multiple Choice

What is the standard form of this number:

forty-five million, two hundred sixteen thousand, six hundred seventeen?

• 40 000 000 + 5 000 000 + 200 000 + 10 000 +

  6 000 + 600 + 10 + 7

• 452 166 17

• 40 000 000 + 5 000 000 + 200 00 + 1 000 + 617

• 45 216 617

Fill in the Blank

Write the expanded form of this number: 15 126 701

Multiple Choice

If I were to write 126 057 in words, which one would be correct?

• One hundred twenty-six thousand, and fifty-seven

• One hundred twenty-six thousand, fifty-seven

Multiple Choice

What is the expanded form of 4 589?

• 40 00 + 589

• 4 000 + 500 + 89

• 4 000 + 500 + 80 + 9

• 40 000 + 589

Multiple Choice

BONUS QUESTION: Joseph and his friends ate pizza for lunch. There were 5 pizzas with 12 slices each. If Joseph and his 12 friends had 4 slices each, how many slices were left over?

• Addition then Subtraction

• Multiplication then Division

• Multiplication then Subtraction

• Division then Subtraction

Multiple Choice

Michael has 25 pictures in an album. Cristian has 43 pictures in album. How many pictures do they have in all?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Vivian had 17 pencils. David had 32 pencils. How many more pencils does David have than Vivian?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

15 + 7 × 2 – 11 + 35=

• 38
• 251
• 53
• 50

Multiple Choice

Evaluate the expression:

5 x 2 - (11 - 7)

• 10

• 4

• 6

• 11

Multiple Choice

Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5

• Subtraction
• Division
• Multiplication
• Addition 

Multiple Choice

What does 3² mean?

• 3 x 2
• 3 x 3
• 2 x 2 x 2

Multiple Choice

What is the Order of Operations?

• A. Addition, Subtraction, Multiplication, Division, Exponents, and Parenthesis

• B. Addition, Subtraction, Multiplication, Division

• C. Addition, Subtraction, Multiplication, Division, and Word Problems

• D. Addition, Subtraction, Multiplication, Division, Exponents, Parenthesis, Brackets, and Braces

Multiple Choice

Round 549,423 to the nearest thousands place.

• 550,000
• 549,400
• 549,420
• 549,000

Multiple Choice

Round 900,985 to the nearest hundred thousands place,

• 901,000
• 900,990
• 900,000
• 900,980

Multiple Choice

Round 128,955 to the nearest thousands place.

• 129,000
• 100,000
• 129,950
• 128,900

Multiple Choice

Which numbers round to 700 ?

• 712 , 732

• 789, 766

Multiple Choice

Round 56 to the nearest 10 ...

• 50

• 60

Multiple Choice

When a number is 4 or less we round up ?

• True

• False

Multiple Select

Select two of the lists that have the numbers correctly listed in order from greatest to least.

• 5789, 5099, 4268, 4187

• 1243, 1678, 2585, 3879

• 8000, 70000, 6000, 5000

• 459, 409, 410, 400

• 606, 599, 538, 529

Multiple Choice

Select the number that correctly shows the following number in standard form: Sixty-four thousand two hundred eighty

• 64280

• 64208

• 640280

• 6428

Multiple Choice

Compare the following two numbers: 9872 ___ 9827

• <

• >

• =

Multiple Choice

Write the standard form of 
400 + 80 + 7 

• 874
• 400807
• 487
• 407

Multiple Choice

What is the value of the 4 in the number 549,632

• hundred thousands
• ten thousands
• 40,000
• 400,000

Multiple Choice

What digit is in the ten thousands place in the number below?
57,694,320

• 9
• 7
• 4
• 2

Multiple Choice

What is the value of of the digit in red:

6792

• 9

• 90

• 900

Chapter 2 Review

• Fractions: improper, proper and mixed numbers, how do you go from one to another?

• Adding, subtraction, multiplying and dividing: when do you need a common denominator?

• Least common multiple and greatest common factor: why do we need to use these and when?

• Prime factorization

• How do you make equivalent fractions and comparing fractions.

• How to change the amounts in a recipe to be either less or more than what is needed?

Multiple Choice

Which of the following is an equivalent fraction to ²/₃ ?

• ²/₁₂

• ⁴/₁₂

• ⁸/₁₂

• ⁶/₁₂

Multiple Choice

A fraction in which the numerator is greater than or equal to the denominator.

• Improper fraction

• Proper fraction

• Mixed number

• Unit fraction

Multiple Choice

Change mixed number 7 ³/₅ into a fraction.

• ²⁶/₃

• ³⁸/₅

• ²⁶/₅

• ³⁶/₅

Multiple Choice

What is ¹⁵/₄ in its mixed number form?

• 3 ³/₄

• 3 ³/₁₅

• 3 ¹/₃

• 4 ¹/₄

Multiple Choice

A fraction in which the numerator is less than the denominator.

• Proper fraction

• Improper fraction

• Mixed number

• Whole number

Multiple Choice

Which of the following is considered a proper fraction?

• 3/3

• 5/6

• 9/10

• 17/11

Multiple Choice

My recipe right now makes 5 servings. I want to make 10 servings. What is my conversion factor?

• 3

• 2

• 5

• 50

Multiple Choice

Which fraction is equivalent to 3/4?

• 9/12
• 6/6
• 5/8
• 12/18

Multiple Choice

Which of the following is an equivalent fraction to 5/6?

• 7/8

• 10/12

• 8/12

• 3/4

Multiple Choice

13/15 - 3/4

• 10/9
• 39/60
• 7/60
• 97/60

Multiple Choice

4/6 + 2/3

• 8/18
• 4/9
• 6/9
• 8/9

Multiple Choice

What is the difference of these fractions in lowest terms?

• 7/9
• 1/5
• 12/20
• 1/20

Multiple Choice

What is the Least Common Denominator of 1/5 + 2/10

• 5
• 10
• 50
• 15

Multiple Choice

What is the sum of these fractions?

• 4/5
• 3/20
• 17/20
• 4/20

Multiple Choice

What is the difference in the following equation in its lowest terms:
9/12 - 5/12 =

• 14/12
• 1/3
• 5/12
• 2/3

Multiple Choice

What is the sum of the following equation in simplest for?:

2/6 + 2/6 =

• 5/6

• 2/3

• 3/6

• 1/2

Multiple Choice

Solve:
(32 ÷ 8) + 27 - 11

• 10
• 20
• 30

Multiple Choice

Calculate: (1/2 +1/3) - (1/2 -1/3)

• 3/10

• 2/3

• 7/15

• 3/8

Multiple Choice

Evaluate the expression. Write the answer in simplest form. 
8/9 ÷ 2 ÷ 8

• 1/18
• 8/18
• 2  1/18
• 6

Multiple Choice

1⅔ ÷ ⅕ =

• 8⅓

• ⅓

• 1⅜

• 5

Multiple Choice

What is the reciprocal of 5?

• 5

• 1/5

• 1/15

• 25

Multiple Choice

Multiply: Make sure to reduce if you can
2/7 x 2/3

• 3/7
• 6/14
• 5/14
• 5/9

Multiple Choice

Divide

• 1

• 6/11

• 6/5

• 11/5

Multiple Choice

• 5/14

• 6/14

• 7/17

• 8/14

Multiple Choice

Multiply

• 6
• 4 / 45
• 20
• 7 /45

Multiple Choice

What is 5 x 3/5?

• 7 1/2

• 15/2

• 6 1/2

• 15/5

Chapter 3 Review

• Decimals: place value, rounding and converting to a fraction.

• Adding, subtracting, multiplying and dividing decimals

• Naming decimals using standard form, expanded form and written form.

• Know what it means when the term cent is used.

Multiple Choice

What is 2.54 in word form?

• Two and fifty-four hundredths
• Two hundred fifty four
• Twenty-five and four tenths
• Two and five tenths

Multiple Choice

What is .4 in word form?

• four hundredths
• fourteen hundredths
• four tenths
• four thousandths

Multiple Choice

Round to the nearest thousandth. 8.5435

• 8

• 9

• 8.544

• 8.543

Multiple Choice

Round to the nearest hundredth. 3.156

• 3

• 4

• 3.15

• 3.16

Multiple Choice

Round to the nearest tenth. 6.125

• 6

• 6.1

• 6.2

• 6.13

Fill in the Blank

Convert fraction to a decimal

¹⁸/₁₀₀

Fill in the Blank

Convert fraction to a decimal

¹/₄

Multiple Choice

263.709
Which number is in the hundredths place?

• 2
• 9
• 0
• 7

Multiple Choice

  What is 3/4 written as a decimal?

• 0.75
• 0.750
• 0.7500
• All of the above

Multiple Choice

What is 3/5 written as a decimal?

• 0.60
• 0.06
• 0.006
• 6.0

Multiple Choice

  6.70 x 10

• 67
• 6.7
• 6.17
• 6.77

Multiple Choice

[(2.2×0.22)÷2]×22

• 5.3
• 5.324
• 22.2

Multiple Choice

(2+34.3)÷3

• 12.1
• 13.43
• 11.2

Multiple Choice

596.104 = (5 x 100) + (9 x 10) + (6 x 1) + (4 x 1/1,000)

• true
• false

Multiple Choice

Which number represents six and eighty-four thousandths in standard form?  

• (6 x 1) + (8 x 1/100) + (4 x 1/1000)
• 6.84
• (6 x 1) + (8 x 1/10) + (4 x 1/100)
• 6.084

Multiple Choice

What is another way to write 45.009?

• forty-five and ninety thousandths
• forty-five and nine tenths
• forty five and nine thousandths
• forty-five and nine hundredths

Multiple Choice

Which digit shows the thousandths place value in 9023.187?

• 1
• 7
• 8
• 9

Multiple Choice

Which number has the digit 9 in the hundredths place?

• 3.09
• 2.93
• 9.36
• 7.06

Multiple Choice

What decimal does the figure below represent?

• 79
• 0.89
• 0.79
• 0.21

Multiple Choice

Which decimal has the GREATEST value:
0.612  0.67  0.6  0.069

• 0.612
• 0.67
• 0.6
• 0.069

Multiple Choice

Which of the following is equivalent to 5/100?

• .5
• 5
• .05
• .005

Multiple Choice

Solve the following equation: 
178.41 + 55.3 =

• 123.11
• 121.32
• 233.71
• 234.17

Multiple Choice

Solve the following equation: 
6.9 - 2.75 =

• 9.65
• 4.15
• 4.25
• 9.89

Multiple Choice

Name the decimal that is shown in the picture:

• 5.0
• 0.05
• 0.50
• 0.55

Multiple Choice

Compare the following decimals:

6.81 ____ 6.87

• <

• >

• =

• +

Chapter 4 & 5 Review

• Ratios, Rates and Proprotions: Know what these terms mean. Be able to identify the difference between a rate and a ratio.

• Proportion: determine if it is true proportion, solve proportions and understand proportion story problems.

• Convert percent to decimals and fractions.

• Using proportion, solve percent problems. Remember the definition of percent.

• Know how to solve for sales tax, tip, commission and simple interest .

Multiple Choice

Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket? 

• 75
• 51
• 36
• 34

Multiple Choice

How much tip should you leave on a $54.50 bill if you want to tip 15%?

• $8.00
• $8.18
• $8.17
• $62.68

Multiple Choice

Find the sales tax only. $199.95 ipod; 9% tax

• $ 17.99
• $ 217.95
• $18.00
• $179.90

Multiple Choice

Find the total cost.  Dinner with tax included is $23.77; you leave a 10% tip.

• $ 2.38
• $ 2.37
• $ 26.15
• $ 21.39

Multiple Choice

Angela spent $30.00 at a restaurant.  If she leaves a 15% tip, how much will her TOTAL BILL be? 

• 30.00
• 45.25
• $ 34.50
• 35.65

Multiple Choice

You are purchasing a T.V for $990 T.V with 7% sales tax. What is the final price of the T.V.?

• $ 990.00
• $ 1,059.00
• $ 1,059.30
• $ 69.30

Multiple Choice

What does percent mean?

• A symbol

• Per fraction

• 100 times

• Per 100

Multiple Choice

15 is what percent of 46? Round your answer to the nearest hundredth.

• 3.07%

• 32.61%

• 32.6%

• 307.67%

• 3.1%

Multiple Choice

What is 11% of 200?

Which proportion is set up correctly:

• $\frac{x}{200}=\frac{11}{100}$

• $\frac{x}{11}=\frac{100}{200}$

• $\frac{11}{x}=\frac{200}{100}$

• $\frac{200}{x}=\frac{11}{100}$

Multiple Choice

Which proportion is set up correctly?

• $\frac{part}{percent}=\frac{whole}{100}$

• $\frac{pecent}{whole}=\frac{part}{100}$

• $\frac{part}{whole}=\frac{percent}{100}$

• $\frac{part}{whole}=\frac{100}{percent}$

Multiple Choice

Madelyn made 45% of her shots at a basketball game. If she attempted 20 shots, how many did she actually make?

• 9

• 10

• 0.9

• 90

Multiple Choice

A person ate 2400 calories in a day.  Of these, 36% came from fat.  How many calories came from fat?

• 984 - a water hose
• 830 - a paintbrush
• 1142 - a sponge
• 864 - a roller

Multiple Choice

What percent of 145 is 29?

• 2%

• 3%

• 18%

• 20%

Multiple Choice

Express 9.35 as a fraction in simplest form.

• 9  3/5
• 9  35/100
• 9  7/20
• 93/50

Multiple Choice

Change this decimal to a percent: 
0.52

• 52%
• .52%
• 5.2%
• .052%

Multiple Choice

Express 2.75 as a fraction in simplest form.

• 275/100
• 27.50
• 2 ¾
• 2  7/5

Multiple Choice

How do you change .45 to a percent?

• Move the decimal point 3 places to the right
• Move the decimal point 2 places to the left
• Move the decimal point 2 places to the right
• Move the decimal point 3 places to the left

Multiple Choice

For every 8 hours you work you make $60. How much do you make for working 40 hours?

• $ 1,000
• $500
• $300
• $60

Multiple Choice

A cake recipe calls for 1 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

• 1.5 cups milk
• 1.75 cups milk
• 2 cups flour
• 2.25 cups milk

Multiple Choice

What is a proportion?

• When two ratios can be simplified
• When two ratios are equivalent and show the same value
• When two ratios have the exact same numbers
• When two ratios can be multiplied by 2

Multiple Choice

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.

• c=15
• c=18
• c=21
• c=16

Multiple Choice

Solve for x

• x=6
• x =1/6
• x = 7
• x=9

Multiple Choice

Do the ratios form a proportion?

• Yes, they form a proportion.
• No, they do not form a proportion.

Multiple Choice

Solve the proportion:

• 4
• 8
• 14
• 10

Multiple Choice

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

• $50 per hour
• $12 per hour
• $192 per hour
• $25 per hour

Multiple Choice

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

• 8 minutes
• 9 minutes
• 16 minutes
• 18 minutes

Multiple Choice

Express the ratio as a fraction in simplest form:

18 ounces to 3 cups

• 6 to 1

• 1/6

• 18/3

• 3/18

Chapter 9 & 10 Review

• Be able to solve problems with integers, know what absolute value means, be able to classify numbers in the real number system.

• Know the exponent rules. Be able to solve problems using these rules.

• Know the meaning for: constant, term, variable, coefficient, monomial, binomial and trinomial.

• Know what the additive inverse and multiplicative inverse terms mean.

• Solve one step equations using additive and multiplicative inverse.

• Know the properties of addition and multiplication.

Multiple Choice

x⁵⁄x³

• x²
• x
• 1
• x⁸

Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Multiple Choice

(-2)³⋅(-2)⁶

• (-2)⁹
• (-2)¹⁸
• (-2)⁻³
• (-2)

Multiple Choice

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Multiple Choice

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add
• subtract
• multiply
• divide

Multiple Choice

Solve the following equation
c / 4 = 4

• 1/4
• 8
• 1
• 16

Multiple Choice

What is the inverse operation needed to solve for p?
765 = p - 254

• subtraction
• addition
• multiplication
• division

Multiple Choice

Solve the following equation
18 = 3b

• 15
• 6
• 21
• 54

Multiple Choice

Solve the following equation
X + 8 = 15

• 23
• -7
• 7
• -23

Multiple Choice

Name the property showed by the following statement.
9 + (2 + 1) = (9 + 2) + 1

• Commutative Property
• Associative Property
• Distributive Property
• Addition Property of One (Identity)

Multiple Choice

Name the property showed by the following statement.
a(bc) = (ab)c

• Commutative Property
• Associative Property
• Distributive Property
• Multiplication Property of One (Identity)

Multiple Choice

Name the property showed by the following statement.
3(2a - 3) = 6a - 9

• Commutative Property
• Associative Property
• Distributive Property
• Multiplication Property of One (Identity)

Multiple Choice

Name the property showed by the following statement.
4 x 1 = 4

• Commutative Property
• Associative Property
• Distributive Property
• Multiplication Property of One (Identity)

Multiple Choice

Name the property showed by the following statement.

(3 x 3)5 = 5(3 x 3)

• Commutative Property

• Associative Property

• Distributive Property

• Multiplication Property of One (Identity)

Multiple Choice

What are your counting numbers (1,2,3..)?

• Rational Numbers
• Whole Numbers
• Natural Numbers
• Irrational Numbers

Multiple Choice

Are all of the following numbers integers? $-8,\ 5,\ \sqrt{100},\ 0,\ \frac{10}{5}$  

• yes

• no

Multiple Choice

What is the only number that is a whole number, but not a natural number?

• -4

• 0

• 3

• 5.3

Multiple Choice

The Venn diagram represents the relationships between the set of real numbers and its subsets. Which is the most specific subset that includes 7.15?

• Natural

• Whole

• Integer

• Rational

Multiple Choice

What type of number is  $3.\overline{5}$  ?

• Integer

• Rational Number

• Irrational Number

• Natural Number

Multiple Choice

Which number is an integer

• 0

• 1/2

• -4/7

• 9.876

Multiple Choice

-8 - 2 =

• 10
• -10
• 8
• 6

Multiple Choice

3 - (-6) =

• 5
• 9
• 7
• -9

Multiple Choice

How many terms in the following expression:
5x + 3y - 15 + x

• 1
• 2
• 3
• 4

Multiple Choice

y + 5x - 10

• coefficient 
• terms
• variables
• constant

Multiple Choice

2x + y = 1

• coeffiecient
• term
• variable
• constant

Multiple Choice

3x + 5 

• algebraic equation
• algebraic expression
• numerical expression
• numerical equation

Multiple Choice

Mathematical sentence that contains variables, numbers, operation symbols, and an equal sign

• algebraic equation
• algebraic expression
• numerical equation
• numerical expression

Multiple Choice

Mathematical phrase that only contains numbers and operation symbols

• numerical equation
• algebraic equation
• algebraic expression
• numerical expression

Multiple Choice

A letter that stands for a number

• constant
• coefficient
• variable
• expression

Multiple Choice

A number in front of a variable

• numerical equation
• coefficient
• constant
• inequality

This will remain open until you take the final exam so you can review these questions. This is a homework grade. I will take the score you have at the end of class on Monday December 7. Study and I will see you on Wednesday in Zoom.