Mid term MATH
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