Math TCAP Review

Equations & Expressions TCAP Review

Order of Operations

• Parentheses

• Exponents (The number of times we multiply the base by itself)

• Multiply or Divide (Always work from left to right)

• Add or Subtract (Always work from left to right)

Multiple Choice

Which operation would you do first?

( 12 + 10) ÷ 10 x 14 - 6

• Division

• Multiplication

• Addition

• Subtraction

Multiple Choice

What would be my first step? 3 + 4 x 6 - 4 =

• addition

• multiplication

• subtraction

• exponents

Multiple Choice

5 + 36 $$\div$$  2 x 3 - 4

• 7

• 55

• 12

Multiple Choice

(4 x 8) - (9 + 7) =

• 16

• 25

• 41

• 32

Multiple Choice

(7 + 41) ÷ 2 – 15 =

• 19

• 9

• 25

• 3

Translations

• A variable is a letter representing an unknown value

• Look at your key words to determine which operation is occurring in the problem

• Rewrite the words into an expression

Multiple Choice

15 less than a number x

• 15 - x =

• x + 15 =

• 15 + x =

• x - 15 =

Multiple Choice

4 divided by the sum of a number and 12

• 4 / n + 12

• 4 / 12n

• 4 / (n + 12)

• (4 / n) + 12

Multiple Choice

The product of seven and j

• 7j

• j+3

• j-3

• j/3

Multiple Choice

the difference of 3 times a number and 7

• 3 - 7n

• 3n - 7

• 3n + 7

• 3 / 7n

Multiple Choice

the difference of 3 times a number and 7

• 3 - 7n

• 3n - 7

• 3n + 7

• 3 / 7n

Combining like terms

• Constant - is a single number (4n + 7 --> 7 is the constant.

• Coefficient - the number being multiplied by the variable (4n + 7 ---> 4 is the coefficient)

• Just have a variable? M + 3 ---> The coefficient is 1

• You can combine LIKE TERMS that share the same variable

Multiple Choice

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Fill in the Blanks

Simplify by Combining Like Terms:

3 + 6 + 3a

Multiple Choice

Simplify: m + m + m + m

• 4m

• m⁴

• m

• Can't be simplified

Multiple Choice

Simplify: x + 3x + 6x + x

• 9x

• 11x

• 2x + 9x

• Can't be simplified

Multiple Choice

Rewrite the expression by combining like terms.

2x² + 10x + 5x² + 25x

• 3x² + 3xy + 6y

• 6y² + 2xy + 2x

• 7x² + 35x

• 3x² + 6xy + y

Properties of Addition & Multiplication

* Commutative Property - If you change the order the SUM or PRODUCT will be the SAME.

* Identity Property - When you ADD zero it will NOT change the sum. When you MULTIPLY by 1 it will NOT change the product

* Associative Property - How numbers are grouped does NOT change the sum or product

* Distributive Property - Distribute number to each part INSIDE the parentheses

Multiple Choice

What number fills in the blank?
5 + ____ = 8 + 5

• 5
• 7
• 8

Multiple Choice

Identity Property of Multiplication

• 5 x 0 = 0
• 8 x 3 = 3 x 8
• 12 x 1 = 12
• 8 + 0 = 8

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

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