Spiral Review

Math Spiral Review

Instructions

• Today we are going to spiral review through some of the topics we have learned this year.

• Look through each slide and use this information or your math notebook to answer each question to the best of your ability.

Decimal Operations

• Addition/Subtraction: Make sure to line up the decimals!!!!

• Multiplying: Count how many numbers are behind the decimal point in both numbers to place your decimal!

• Dividing: If your divisor has a decimal, you must move the decimal point in BOTH the dividend & divisor before dividing!

Multiple Choice

When you move the decimal in the divisor, what happens in the dividend?

• You raise the decimal straight up

• Nothing

• You put a zero in the front

• The decimal moves the same amount in the dividend that it moved in the divisor.

Multiple Choice

7.05-4.6=

• 2.45

• 3.65

• 11.65

• 11.45

Multiple Choice

55.78+4.6=

• 60.28

• 55.32

• 56.44

• 60.38

Multiple Choice

If you multiply 0.73 by 2.52, how many times would you move the decimal?

• 2

• 3

• 4

• 5

Dividing Fractions

• Step 1: Keep the first fraction the same

• Step 2: Flip the second fraction upside down

• Step 3: Multiply across

• Step 4: Simplify!

Multiple Choice

¹/₄ ÷ ¹/₂

• ²/₆

• ¹/₈

• ³/₅

• ²/₄

Multiple Choice

5 ÷ ⅕

• ⅕

• 1/25

• 5

• 25

Least Common Multiple (LCM)

• Where you try to find the smallest multiple they have in common!

• This is usually found by skip-counting until they find a match!

Greatest Common Factor (GCF)

• Where you try to find the largest/greatest number that divides evenly into both numbers

• Can be found by listing the different factors.

Multiple Choice

GCF of:

15 and 25

• 14

• 40

• 5

• 10

Multiple Choice

GCF of:

14 and 20

• 7

• 28

• 2

• 6

Multiple Choice

LCM of:

8 and 6

• 16

• 24

• 48

• 14

Multiple Choice

LCM of:

5 and 8

• 20

• 40

• 5

• 8

Exponents

• How many times a number is multiplied by itself.

• Example:

   $4^2=4\times4=16$  

Multiple Choice

 $2^4$  Simplify this expression

• 8

• 16

• 12

• 20

Multiple Choice

Write 81 in exponent form.

• $6^6$

• $9^2$

• $9^9$

• $3^3$

Combining Like Terms

• You can only combine terms with the SAME VARIABLE!!

• Variable: a letter that represents a number

• Constant: a number by itself

• Coefficient: a number multiplied by a letter (example: 6y)

Multiple Choice

Simplify by combining like terms:

5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

Multiple Choice

Which expression is equivalent to:

d + d + d + 3 + 2

• 3d + 5

• d + 5

• 2d + 7

• 3d + 4

Multiple Choice

Which expression is equivalent to

v + v + v + v + v?

• 5v

• v⁵

• v + 5

• v5

Solving Equations & Inequalities

• Use the inverse operation to find the answer to the equation or inequality.

• The same is for inequalities!!

• Example: 5y > 15

•                    y > 3

Multiple Choice

Solve:

45p > 315

• p > 270

• p < 270

• p > 7

• p < 7

Multiple Choice

x - 41 > 22

• x < 63

• x > -19

• x < -19

• x > 63

Multiple Choice

x + 9 = 14

• x = 6

• x = -6

• x = 23

• x = 5

Graphing Inequalities

• Close Circle: ≥ or ≤

• Open Circle: > or <

Multiple Choice

What inequality does the number line graph represent?

• x > -4

• x > 4

• x < 4

• x ≤ -1

Multiple Choice

What inequality does the number line graph represent?

• x ≥ 3

• x > 2

• x < -3

• x ≤ 6