Mid term MATH

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CHAPTER 1

(ง'̀-'́)ง (Alsoooo I didn't put the word problem parts here so don't forget to look at the textbook when you study :D)

Evaluate the expression if x = 4, y = 2, z = -1 3xz - y^2

-16

Evaluate the expression if x = 2, y = 3, z = -1 xz/y

-2/3

Evaluate the expression: (10 -6)/8

1/2

Write an algebraic expression for the verbal expression: one-half the cube of n

1/2n^3

Evaluate the expression: 3 + 2 x 4

11

Solve the equation: w = 4 + 3^2

13

Simplify, If not possible, write simplified. 4a + 9a

13a

Evaluate the expression if x = -2, y = 1, z = -3 2(x - y)^2

18

Find the solution set for each equation if the replacement set is {2,3,4,5} 5n - 1 < 20

2, 3, and 4

Evaluate each expression: 3^5

243

Rewrite the expression using the Distributive Property. 8(3x-7y)

24x - 56y

Simplify, If not possible, write simplified. 3w-w + 4v+3v

2w + 7v

Simplify the expression. 3(2+3x)+21x

30x+ 6

Evaluate each expression: 15^3

3375

Write an algebraic expression for the verbal expression: the sum of 35 and z

35 + z

Evaluate each expression: 6^2

36

Solve the equation: m = 64+ 4/ 17

4

Solve the equation: n = 96 ÷ 6/ 8 ÷ 2

4

Find the solution set for each equation if the replacement set is {2,3,4,5} 2n - 1>5

4, and 5

Simplify, If not possible, write simplified. 4np + 7mp

4np + 7mp

Rewrite the expression using the Distributive Property. 4(x+1)

4x + 4

Find the solution set for each equation if the replacement set is {2,3,4,5} 3n + 5= 20

5

Write an algebraic expression for the verbal expression: the products of 5 and a number

5y

Write a verbal expression for the algebraic expression: 7p

7 times p

Rewrite the expression using the Distributive Property. 8(15-6)

72

Evaluate the expression: 18 - 4^2 + 7

9

Simplify the expression. 7w^2 + w + 2w^2

9w^2 +w

TRY IT OUT YOURSELF

:0

TRY IT OUT YOURSELF

:D

TRY IT OUT YOURSELF

:P

TRY IT OUT YOURSELF

:o

CHAPTER 2

@ - @

1.6 Commutative and Associative Properties

Commutative Property: 5+6= 6+5 Associative Property: (2+4)+6=2(4+6)

1.7 Logical Reasoning

Conditional statements written in the if-the statements Ex: If the popcorn burns <-- hypothesis then --> conclusion the heat was too high or kernels heated unevenly.

1.5 The Distributive Property

Distributive Property ab (b+c) = ab + ac Ex: 3(2+5) = 3 x 2 + 3 x 5 21 = 21

1.2 Order of Operations

Evaluate Expressions by using PEMDAS P - Parenthesis E - Exponent M - Multiply D - Divide A - Addition S - Subtract Evaluate each expression if... Ex. x = 3, t = 4, and y = 2 t^2 + 3y = 22

1.8 Number Systems

I don't know how to explain this one so check out Page 46 to get a explanation

1.4 Identity and Equality Properites

Properties: Multiplicative Identity - Ex. 12 x 1 = 12 ad 1 x 12 = 12 Multiplicative Property of Zero - Ex. 8 x 0 = 0 and 0 x 8 = 0 Multiplicative Inverse - Ex. 2/3 x 3/2 = 1 and 3/2 x 2/3 = 1 Reflexive: Any quantity is equal to itself - Ex. 7=7, 2+3=2+3 Symmetric: If one quantity equals a second quantity, then the second quantity equals the first - Ex. 9 = 6+3 then 6+3 = 9 Transitive: If one quantity equals a second quantity and the second quantity and the second quantity equals a third quantity, then the first quantity equals the third quantity - 5 + 7 = 8 + 4 and 8+4=12 then 5+7 = 12 Substitution: A quantity may be substituted for its equal in any expression - Ex. n = 15 then 3n = 3(15)

Evaluate the expression. Name the property used in each step. 4(20) + 7

Substitution Substitution = 87

Evaluate the expression. Name the property used in each step. 16(12-48÷4)

Substitution Substitution Multi. Prop. of Zero = 0

TRY IT OUT YOURSELF

T^T

1.3 Open Sentences

Use a Replacement Set to Solve an Equation Ex. Find the solution set for each equation if the replacement set is {2,3,4,5} 2n + 3 = 11 2(2) + 3 = 7 false 2(3) + 3 = 9 false 2(4) + 3 = 11 true 2(5) + 3 = 13 false Find the solution set for each equation if the replacement set is {2,3,4,5} 2n - 1 < 6 answer = 2 and 3 Use Order of Operations to Solve an Equation 13+2(4)/3(5-4) = 13 + 8/ 3= 21/3 = 7

1.1 Variables and Expressions

Write an algebraic expression for each verbal expression. Ex: Sum of twice a number and five - 2n + 5 Evaluate each expression. Ex. 3^3 = 3 x 3 x 3= 27 Write a verbal expression for each algebraic expression. Ex: 4x^2 - 11 --> four times a number x squared minus eleven (Small note: More than - addition The sum - addition Less - subtract The difference - subtract Product - multiply Times - multiply 'Of' - multiply Quotient - divide)

Find the value of n in the expression. Name the property that is used. 17n = 0

n=0; Mult. Prop. of Zero

Find the value of n in the expression. Name the property that is used. 4 + 0 = n

n=4; Add. Identity

Find the value of n in the expression. Name the property that is used. 1/6n = 1

n=6; Mult. Inverse

I didn't know how to make explain questions for this :/

sorrryy

Write a verbal expression for the algebraic expression: 2x - 8

the difference of twice a number x and 8

Write a verbal expression for the algebraic expression: 3^3

three cubed


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