7th grade review

Multiple Choice

$$\frac{1}{2}\ \times\ \frac{3}{5}\ =$$  
Simplify the expression .

• $$\frac{3}{10}$$  

• $$\frac{5}{6}$$  

• $$1\frac{1}{5}$$  

• $$3\frac{1}{3}$$  

Multiple Choice

Simplify the expression.
$$\frac{6}{7}\ \div\ \frac{14}{12}$$  

• $$\frac{36}{49}$$  

• $$-\frac{36}{49}$$  

• 1

• $$1\frac{2}{7}$$  

Multiple Choice

Simplify the expression:
$$-15\ \div\ \frac{10}{11}$$  

• $$-16\ \frac{1}{2}$$  

• $$16\ \frac{1}{2}$$  

• $$-13\ \frac{7}{11}$$  

• $$13\ \frac{7}{11}$$  

Multiple Choice

Solve the problem, Don't forget to use LCF, simplify

• 7/5

• 5/7

• -81/35

• -5/7

Multiple Choice

Solve the problem , DO NOT use LCF, simplify

• -2/6

• -1/3

• -3

• 1/3

Multiple Choice

Multiply DO NOT use LCF, simplify

• 9/60

• 54/10

• 3/20

Multiple Choice

• -6/12
• -5/12
• 5/12
• -5/7

Multiple Choice

Multiply.

• - 4 / 36
• 4 / 36
• 3/5
• -3/5

Multiple Choice

$$\frac{1}{2}\ \times\ \frac{3}{5}\ =$$  
Simplify the expression .

• $$\frac{3}{10}$$  

• $$\frac{5}{6}$$  

• $$1\frac{1}{5}$$  

• $$3\frac{1}{3}$$  

Multiple Choice

$$\frac{1}{2}\ \div\ \frac{3}{5}\ =$$  
Multiply and write in simplest form. 

• $$\frac{5}{6}$$  

• $$\frac{-5}{6}$$  

• $$\frac{3}{10}$$  

• $$\frac{-3}{10}$$  

Multiple Choice

$$\frac{-1}{4}\div\frac{-4}{9}$$  

• $$-1\frac{7}{9}$$  
  

• $$1\frac{7}{9}$$  
  

• $$\frac{-9}{16}$$  

• $$\frac{9}{16}$$  

Multiple Choice

Solve:

• -9/10

• 10/9

• 9/10

• 6/8

Multiple Choice

Solve:

• -3/14

• 7/6

• -6/-7

• 6/7

Multiple Choice

To multiply decimals we have to line the decimals up first.

• Always

• Sometimes

• Never

Multiple Choice

When do you use "Keep Change Flip"?

• multiplying fractions

• dividing fractions

• multiplying integers

• dividing integers

Multiple Select

"Keep Change Change" is used when we ________.

(check all that apply)

• add integers

• subtract integers

• add the opposite

• multiply integers

Multiple Select

We sing the song "KCC - its easy as 1-2-3" when we are _________. (check all that apply)

• adding integers

• subtracting integers

• multiplying integers

• dividing integers

Multiple Choice

A positive times a negative is a ______________.

• negative

• positive

Multiple Choice

How do you change a mixed number into a decimal?   $$3\frac{1}{4}$$  

• Divide 3 / 4.
  

• Divide 13 / 4.

• Multiply.

• Subtract

Multiple Choice

Just a little review....

Positive x Negative =

• Positive

• Negative

• Either

• zero

Multiple Choice

Just a little review....

Negative x Negative =

• Positive

• Negative

• Either

• zero

Multiple Select

When dividing fractions the rule is .....

(Hint there is more than on correct answer)

• Same - Change - Opposite

• Same - Change - Flip

• Same - Change - Reciprocal

• Keep - Change - Flip

Multiple Choice

When can you cross cancel?

• When it is still division.

• When it has been changed to multiplication.

• Either, when it is division or multiplication.

• You can never cross cancel.

Multiple Choice

Divide

Hint: Keep-Change-Flip

• 6

• 1/6

• 6/49

• 7/42

Multiple Choice

Divide

Hint: Two negatives make a .......

• 1/20

• -4/5

• 4/5

• -1/20

Multiple Choice

Divide

Hint: Remember 8 is the same as $$\frac{8}{1}$$  

• 24

• 1/24

• 2

• 3

Multiple Choice

When multiplying a positive and negative number my product will be positive.

• True

• False

Multiple Choice

Solve: -12 X 5 =

• 60

• -60

• 45

• -125

Multiple Choice

Solve: -8 X -5=

• 40

• 45

• -45

• 50

Multiple Choice

When subtracting integers, I can rewrite the problem as a(n)...

• division problem.

• keep it as subtraction.

• multiplication problem.

• addition problem.

Multiple Choice

Solve: -7-(-16)=

• -9

• 9

• -23

• 23

Multiple Choice

Solve: 1/2 X 5/4

• 4/10

• 2/5

• 5/8

• 5/4

Multiple Choice

When dividing fractions, I must keep the first fraction the same, do the inverse operation of dividing, and keep the second fractions the same.

• True

• False

Multiple Choice

Solve: 8/11 $\div$   2/4

• 32/22

• 1 10/22

• 1 5/11

• 16/44

Multiple Choice

Solve: 1.23+10.56 = ? AND 53.78-15.79

• 11.79; 37.91

• -11.79; -37.91

• 11.97; 37.99

• 11.79; 37.99

Multiple Choice

When dividing decimals, I should make sure the DIVISOR is a whole number and move the decimal in the DIVIDEND over the same number of spaces as the DIVISOR.

• TRUE

• FALSE

Multiple Choice

When multiplying decimals, I should make sure to line up my decimals.

• True

• False

Fill in the Blank

Solve. Rules:

Same sign: add and keep

Different signs: subtract and keep the sign of the bigger number

Multiple Choice

When we multiply numbers together, the answer is called a...

• Sum

• Quotient

• Difference

• Product

Multiple Choice

When we subtract one number from another, the answer is called the _________

• Sum

• Difference

• Quotient

• Product

Multiple Choice

The answer to any division problem is called the _________

• Sum

• Difference

• Quotient

• Product

Multiple Choice

When we reduce a fraction to lowest terms, we are __________ it

• Cross multiplying

• Multiplying Across

• Simplifying

• Flipping it

Multiple Choice

In a fraction, we call the "top number" the ________

• Numberator

• Denominator

• Common Factor

• Common Multiple

Multiple Choice

In a fraction, we call the "bottom number" the ________.

• Numerator

• Denominator

• Common Factor

• Common Multiple

Multiple Choice

The radius is _______ the diameter.

• half of

• double

• equal to

Multiple Choice

Multiply. Write your answer in simplest form.

• 27/40

• -27/40

• 5/6

• -5/6

Multiple Choice

To multiply two fractions...

• multiply the numerators and keep the denominators the same

• multiply the numerators and multiply the denominators.

• keep the numerators the same and multiply the denominators.

• guess and check.

Multiple Choice

• -6/12
• -5/12
• 5/12
• -5/7

Multiple Choice

Yellow is positive and red is negative. The model represents which math expression?

• -5 + 3

• 5 + 2

• -2 + (-5)

• -5 + 2

Multiple Choice

Yellow is positive and red is negative. Solve the model.

• 1

• -3

• 7

• -7

Multiple Choice

Yellow is positive and red is negative. The model represents which expression?

• -4 + (-4)

• 4 + (-4)

• - 4 + 4

• (-5) + (-5)

Multiple Choice

Yellow is positive and red is negative. Solve the model.

• -2

• 0

• 8

• -8

Multiple Choice

Yellow is positive and red is negative. The model represents which expression?

• - 6 + (-6)

• -6 + 6

• 6 + 6

• -5 + 6

Multiple Choice

Yellow is positive and red is negative. Solve the model.

• 0

• -12

• 12

• 1

Multiple Choice

Challenge! Yellow is positive and red is negative. Which equation represents the model.

• -4 + (-2) = -6

• -4 + (-4) = -8

• -4 - (-2) = -2

• - 2 - (-4) = 2

Fill in the Blank

Solve: -10 + (-7) =

Fill in the Blank

Solve: -5 - (-12)

Fill in the Blank

Solve: 17 + (-9) =

Fill in the Blank

Solve: 6 - (-5) =

Fill in the Blank

Solve: -9 + 9 =

Multiple Choice

-10 + 4

• -14
• 14
• -6
• 6

Multiple Choice

-9 + 9

• 18
• -18
• 0
• 81

Multiple Choice

When I have the SAME sign, as in:

6+ 7 or (-6) + (-7)

I will ____________ .

• add

• subtract

Multiple Choice

A positive plus a positive will equal a ______________

• positive

• negative

• zero

Multiple Choice

A negative plus a negative will equal a ___________

• Positive

• Negative

• Zero

Multiple Choice

-3 + (-4) = _____

• 1

• -1

• 7

• -7

Multiple Choice

The signs are ___________________ in this math problem:

5 + (-7)

• the same

• different

Multiple Choice

Different signs, means we must _____________

• add

• subtract

Multiple Choice

Difference means to :

• add

• multiply

• divide

• subtract

Multiple Choice

5 + 13

• 18

• -18

• 8

• -8

Multiple Choice

(- 6) + (- 4)

• 10

• -10

• 2

• -2

Multiple Choice

8 + -2

• 10

• -10

• -6

• 6

Multiple Choice

The signs are ___________________ in this math problem:

(-3) + (-1)

• the same

• different

Multiple Choice

1. On a numberline we add a positive number by moving to the

• left

• right

Multiple Choice

When you add integers with the same sign, what do you do? 

• (+) and keep the sign

• (-) and keep the sign of the larger

• (x) and keep the sign
• (-) and keep the sign of the smaller

Multiple Choice

What do you do when you are adding integers with different signs? 

• (-) and keep sign of smaller number
• (-) and keep sign of larger number
• (+) and keep sign of smaller number number
• (+) and keep sign of larger number 

Multiple Choice

Absolute Value is....

• how many jumps a number is from zero

• The highest number in the number line
• The opposite of 0

Multiple Choice

When we are adding numbers with different signs, we follow the rule of...

• different signs subtract
• different signs positive
• different signs add and keep
• different signs negative

Multiple Choice

When adding integers with the same sign you ________________.

• Subtract and keep the sign of the larger number.

• Add and keep the sign.

Multiple Choice

A positive PLUS a positive will give you what on your final answer.

• Positive

• Negative

Multiple Choice

A negative PLUS a negative will give you what on your final answer.

• Positive

• Negative

Multiple Choice

-6 + 4 =

• -2

• 2

• 10

• -10

Multiple Choice

What are the rules for subtracting integers?

• Change to multiplication and use the opposite of the second number.
• Change subtraction sign to addition and use the opposite of the second number.
• Find the opposite of both numbers and then add. 
• Subtract like normal and keep the larger sign. 

Multiple Choice

Define Absolute Value

• The distance a number is from zero
• The highest number in the number line
• The opposite of the value

Multiple Choice

When we are adding, the rule for numbers with the same sign is...

• same signs subtract
• same signs add and keep
• same signs positive
• same signs negative

Multiple Choice

When we are adding numbers with different signs, we follow the rule of...

• different signs subtract
• different signs positive
• different signs add and keep
• different signs negative

Multiple Choice

Which is the rule for subtraction of integers?

• same sign sum

• different sign difference

• add the opposite

  (Keep, change, change)

• just subtract

Multiple Choice

 2 - (- 2).... it is the same as 

• 2 - 2
• 2 + 2
• 2 + -2
• 2 - +2

Multiple Choice

Express an integer: a withdrawal of $100

• 100

• -100

Multiple Choice

An equation with two equal ratios

• proportion

• rate

• unit rate

• reciprocal

Multiple Choice

The distance across a circle is...

• radius
• diameter
• circumference 
• area

Multiple Choice

Solve for x

• x=6
• x =1/6
• x = 7
• x=9

Multiple Choice

Which of the following is an equation?

• 6x + 2x - 6
• 6x² + 10 = 25
• 6x² + 10 - 25
• 10y - 6 + 34u

Multiple Choice

What is 10% of 50?

• 10
• 5
• 100
• 20

Combine Like Terms

Review Chapter 6

Combing Like Terms

• You have to combine like terms

• x with x and y with y and numbers with numbers

• Remember your signs

Cobine like terms

• If you have 4x+5x

• Just add 4+5

• equals 9

• Then add x to the end

• The final answer is 9x

Multiple Choice

Which expression is the simplified form of 6x + 5x

• none of these

• 11

• 11x

• 12x

Cobine like terms

• If you have multiple terms then look to see what is the same for each term

• Example: 3 + 6x + 8 + 2x

• First combine "x's" so 6x + 2x = 8x

• Then combine what is leftover 3+8 = 11

• Now put the two answers together

• 8x+11

Multiple Choice

Simplify: 3x + 5 + 2 + 9x

• None of these

• 8x + 11

• 3x + 7

• 12x + 7

Remember your signs

• -2x + 9x is not 11x

• since 2 is negative think of subtracting

• 9 - 2 is 7 so -2x + 9x = 7x

Multiple Choice

What is the value of 6x + 3 - 8x - 5?

• -2x - 2

• 2x + 2

• 2x - 2

• -2x + 2

What is the value of 6x + 3 - 8x - 5?

• First combine 6x and -8x

• Since 6 - 8 = -2 then it is -2x

• Then combine 3 and -5

• 3 - 5 = -2 also

• Put the two answers together to get -2x - 2

Multiple Select

What was the value of x from the last question?

• 2

• -2

Multiple Choice

What is 5m + 7 - 2m + 4m - 15

• 9m + 7

• 7m - 8

• 9m - 8

• 7m - 15

What is 5m + 7 - 2m + 4m - 15

• Start with 5m - 2m = 3m then add the last m value of 4

• So 3m + 4m = 7m

• Then look what is left to combine 7 and -15 again since negative think subtract

• So 15 - 7 = 8 and take the sign of the bigger number so since 15 is negative and it bigger than 7 the final answer is -8

• Put it all together and your final answer is 7m - 8

Multiple Choice

What is 4x + 3 + (-3x) + 5

• 7x +3

• 7x + 5

• x + 8

• x + 5

What is 4x + 3 + (-3x) + 5

• You could see it as 4x + (-3x) + 3 + 5

• 4-3 = 1 so it is 1x or x

• Second part 3 + 5 = 8

• Put them together x + 8

Multiple Choice

What is -x + 4x - 6x - 8x

• -11

• -11x

• 12x

• -12x

What is -x + 4x - 6x - 8x

• Take it step by step

  -x +4x = 3x

• 3x -6x = -3x

• -3x - 8x = -11x