Unit 2 Quiz 1 Review

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Evaluate given: x + 2(y) when x = 2 and y = -2

-2

Evaluate given: 5(x)(y) when x = 2 and y = -2

-20

Solve using PEMDAS:(Type like a fraction) -2 - (-26) / (1 - 9)

-3

Evaluate given: 8a - 3b when a = -2 and b = 6

-34

Simplify: 2x² + 3x - 2y + 8x - 5x² + 10y

-3x² + 11x + 8y

Simplify: -4(x - 5)

-4x + 20

Simplify: -3(2x + 6y - 2)

-6x - 18y + 6

Simplify: 3x + y - 2y - 3 - 10x

-7x - y - 3

Simplify: 2b + 2a - 2c - 2b + 2c - 2a

0

Solve using PEMDAS:(Type like a fraction) 15 - (-5)^2 + 2 / -4 - 1

1 3/5

Simplify: 10(y - 2 - 4)

10y - 60

Simplify: 4(6 + 3y) -3

12y + 21

Factor the expression 12x + 14y

2(6x + 7y)

Simplify: 22(a + b + c)

22a + 22b + 22c

Simplify: 7(2x - 10) + 2(4x - 1)

22x - 72

Evaluate given: 3x + 2z when x=7 z=4

29

Evaluate given: 2x + 5 - 6z when x=5 z=2

3

Evaluate given: 5a - (a + ab) when a = 7 and b = -2

42

Expand the expression 4(x + 6)

4x + 24

Simplify 6(x + 3)

6x + 18

Constant

A number that never changes (the numbers that are not attached to the variable)

Inverse Property of Addition

If the sum of two numbers is zero, than each number is the opposite of the other. Ex: 8+(-8)=0 or 12+(-12)=0

Multiplication Property of Zero

If zero is multiplied by any number, the result is always zero Ex: 6x0=0 or 3x0=0

Commutative Property of Addition

The order in which numbers are added does not affect the sum. Ex: 3+4 = 4+3 or 8+5 = 5+8

Commutative Property of Multiplication

The order in which numbers are multiplied does not affect the product. Ex: 6x8 = 8x6 or 10x2 = 2x10

Identity Property of Multiplication

The product of 1 and any number is that number. Ex: 7x1=7 or 125x1=125

Inverse Property of Multiplication

The product of a nonzero number and its reciprocal is 1 Ex: 3/4 x 4/3 = 1

Identity Property of Addition

The sum of zero and any number is that number. Ex: 95+0=95 or 12+0=12

Like Terms

The terms that have the same variables and exponent (constants are also like terms)

Associative Property of Multiplication

The way in which numbers are grouped does not affect the product. Ex: (3x2)x2 = 3x(2x2) or 5x(7x4) = (5x7)x4

Evaluate given: 5a + 8b / -2 when a = -3 and b = -1

-11 1/2

Evaluate given: (2x)² + y when x = 2 and y = -2

14

Factor the expression 6x + 3y

3(2x+y)

Evaluate given: a - 10 / -4 when a = 7

3/4

Expand the expression 7(y - 8)

7y - 56

Variable

A letter or symbol that stands for an unknown number

Coefficient

The number in front of the variable

Associative Property of Addition

The way in which numbers are grouped does not affect the sum. Ex: (3+2)+5 = 3+(2+5) or 6+(3+1) = (6+3)+1

Distributive Property

You can multiply the numbers separately and then add the products. Ex: 3x(6x4)=(3x6)+(3x4) or 5x(2+4)=(5x2)+(5x4)

Simplify: 7x - 15 - 5x - x + 8

x - 7


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