Cumulative Review: Lessons 1-4

Cumulative Review: Lessons 1-4

WHS Math Department

​A solution makes an equation true!

Remember what a solution is...

In your calculator we can use Menu->3->1​

To solve this problem

​

Don't forget to define the variable by using the "," after typing the equation

​The calculator will give you the answer!

​

Multiple Choice

$$0.75\left(x+20\right)=2+0.5\left(x-2\right)$$  

Which value of x makes the equation true?

• 64

• -64

• 56

• -56

Multiple Choice

Solve for x:
2(3x + 4) + 2 = 4 + 3x

• 2
• -2/3
• 10
• -2

• ​The set of all x-values

• Read graphs from left most point to right most point.

• When given discrete values use the x-values. ​

​​Domain

• ​The set of all y-values

• ​Read graphs from lowest point to highest point.

• If discrete or a formula plug in the x-values to generate range values

​​Range

Multiple Choice

Which inequalities best describe the domain and range of the part shown?

• Domain : $$-4<x<5$$  

  Range : $$-7<g\left(x\right)<6$$  

• Domain : $$-7<x<6$$  

  Range : $$-4<g\left(x\right)<5$$  

• Domain : $$-4\le x\le5$$  

  Range : $$-7\le g\left(x\right)\le6$$  

• Domain : $$-7\le x\le6$$  

  Range : $$-4\le g\left(x\right)\le5$$  

Multiple Choice

• y ≥ 4
• y ≤ 8
• y > -4
• y < 8

Multiple Choice

Which answer choice best describes the domain and range of the function for this situation?

• Domain : All real numbers greater than or equal to 0 and less than or equal to 100.

  Range : All real numbers greater than or equal to 0 and less than or equal to 50.

• Domain : {-2}

  Range : {100}

• Domain : All real numbers greater than or equal to 0 and less than or equal to 50.

  Range : All real numbers greater than or equal to 0 and less than or equal to 100.

• Domain : {100}

  Range : {-2}

Remember rate of change is just slope. We just need to find the change in y over the change in x.

​

From a Table

Pick two points and find the change in y over the change in x.

​​From a Graph​

Use the slope formula.

​​From Points

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​Determine the vertical and horizontal variables.

​Vertical = y

Horizontal = x​

​​From a word problem

Multiple Choice

• 14 ft/yr

• 3 ft/yr

• 7 ft/yr

• 10 ft/yr

Multiple Choice

• $100 per deposit

• $50 per deposit

• $0.50 per deposit

• $2 per deposit

Multiple Choice

What is the rate of change of y with respect to x?

• $$\frac{3}{2}$$  

• $$-\frac{2}{3}$$  

• $$\frac{2}{3}$$  

• $$-\frac{3}{2}$$  

Multiple Choice

Manuel lives 2 miles from the library and rides his bike there each day. He rides past one block every 50 seconds. If each block is 300 feet long, what is the rate, in feet per second, at which Manuel rides his bike?

• 6 feet per second

• 25 feet per second

• 60 feet per second

• 100 feet per second

• ​Slope

• x-intercept

• y-intercept​

​​Key Features

​

1. Put the equation to y = mx + b

2. Identify the slope (m) and the y-intercept (b)

3. Plot b

4. Use the slope (m) to find another point​

To Graph a Linear Function

​

Multiple Choice

What is the equation for this graph?

• y = ⅔ x + 3

• y = -⅔ x + 3

• y = ⅔ x - 3

• y = -⅔ x - 3

Multiple Choice

What is the zero of the graph?

• -2

• 0

• -4

• -3

Multiple Choice

Which statement best describes the y-intercept of the graph?

• The initial water level was 14 feet.

• The initial water level was 16 feet.

• After 8 days, the water level was 18 feet.

• The water level stops at 14.

Multiple Choice

What does the x-intercept of the graph represent?

• The number of gallons of fuel in the truck before any driving occurred.

• The number of hours the truck was driven before running out of fuel.

• The number of gallons of fuel the truck can hold.

• The number of house required to use one gallon of fuel.

Multiple Choice

Frank graphed the following linear function on a coordinate plane:
$4x+2y=12$
What is the y-intercept of the graph of this function?

• (0, -4)

• (0, -2)

• (0, 6)

• (0, 12)