Review of Lessons of Unit 1 1/2

Review of Lessons of Unit 1 1/2

We will review all concepts covered this quarter: Order of Operations, Solving Equations, Translating Expressions, Consecutive Integers, Relations vs. Functions, and Evaluating Functions

Order of Operations

• Parenthese ( ), { }, [ ]

• Exponents aⁿ

• Multiplication x, ( ), *

• Division / ,  $\div$  

• Addition

• Subtraction

Multiple Choice

 $\left(3\times5^2\div15\right)-\left(5-2^2\right)$  

• 4

• 0

• 15

• 23

Multiple Choice

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

• Subtraction

• Division

• Multiplication

• Addition

Multiple Choice

Which operation would you do first?

( 12 + 10) ÷ 10 x 14 - 6

• Division

• Multiplication

• Addition

• Subtraction

Solving Equations

• Be familiar with Algebraic Properties

• Use Opposite Operations

Multiple Choice

4(4+4x)=96

• 5

• 1.5

• 9

• 10

Multiple Choice

19=14+t

• 10

• 18

• 19

• 5

Multiple Choice

 $\ -3x+17=12-x$  

• -2 1/2

• 2/5

• 11/4

• 2 1/2

Literal Equations

• Formula

• Rearrange for a specific variable

• Use opposite Operations

Multiple Choice

Solve the equation for d. 
d / t = r

• d = r / t
• d = t / r
• d = rt
• d = r - t

Multiple Choice

Solve for x. 
x + 7g = 9

• x = 9 - 7g
• x = 9 / 7g
• x = 9 + 7g
• x = 7g - 9

Multiple Choice

Solve the equation for x.  
3x - 2y = 6

• x = (6-2y) / 3
• x = (6+2y) / 3
• x = (6- 2y)/ -3
• x = 3 + 2y 

Translating Expressions/Equations

• Change verbal expressions/equations to algebraic expressions/equations

• Change algebraic expressions/equations to verbal

Multiple Choice

What is the difference between an expression and equation?

• Expressions have an equal sign and equations do not have an equal sign
• Expressions do not have an equal sign and equations do have an equal sign
• There is not a difference
• Expressions do not have variables and equations have variables

Multiple Choice

Write an algebraic expression for:
three times a number plus 16

• 3(16)+n
• 16n+3
• 3n+16

Multiple Choice

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 8 - 4m
• 8m - 4
• 8m + 4
• 4m - 8

Consecutive Integers

• Consecutive Integers

• 1st- x

• 2nd- x + 1

• 3rd- x + 2

• Consecutive Even/Odd Integers

• 1st - x

• 2nd - x + 2

• 3rd - x + 4

Multiple Choice

The sum of two consecutive integers is 123.  What is the smallest of the two integers?

• 60
• 61
• 62
• 63

Multiple Choice

Find three consecutive even integers whose sum is 84.

• 26, 28, 30
• 28, 30, 32
• 27, 28, 29
• 24, 26, 28

Multiple Choice

Find four consecutive odd integers whose sum is 128.

• 32, 34, 37, 38
• 27, 29, 31, 33
• 29, 31, 33, 35
• 25, 27, 29, 31

FUNCTIONS

• Relation vs. Function

• Evaluating Functions

Multiple Choice

Arcadia Inc. manufactures videogames. This is a graph showing the profit, in thousands of dollars, made by the company over the first six months of the year. Which statement about the company's profits is incorrect?

• The profits increased from January to February.
• The largest profit for the six-month period was $275,000.
• The profit decreased from April to June.
• The smallest profit for the six-month period was $150,000.

Multiple Choice

What is f(6) for the function f(x)=3x-8

• -8

• 10

• -144

• answer not here

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D:{0, 1, 2, -4}
  R:{1, -3, -4}
• D:{0, 1, 2, 3, 4}
  R:{1, -3, -4}
• D:{0, 1, 2, 3}
  R:{0, 1, 2, 3, 4}

Multiple Choice

Does the graph represent a function?

• Yes, because the vertical line test shows there are no repeating input values
• No, because the vertical line test shows there are repeating input values

Multiple Choice

Is this a function? 

• Yes 
• No

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Poll

What area of Math 1 have we covered that you need more practice/assistance with?

• Solving Equations

• Consecutive Integers

• Relations/Functions

• Translating Expressions/Equations

• Literal Equations