7th Grade Review Lesson

​Probability - the chance that something will occur.

Math 7 | Probability

Multiple Choice

What is the probability of the spinner landing on red?

• 5/12

• 7/12

• 5/5

• 5/10 or 1/2

Reorder

Lauren spins the spinner with 8-equal sized sections one time. Drag the tiles to arrange the events in order from least likely to most likely.

• spinning a 4 or 5

• spinning a 6

• spinning an even number

• spinning a number greater than 5

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Choice

$$\Delta PQR\ is\ similar\ to\ \Delta STU$$  What side corresponds to side UT?

• PQ

• RQ

• QR

• QP

Fill in the Blanks

Multiple Choice

Rectangle ABCD has been enlarged to form rectangle A’B’C’D’. What is the scale factor?

• 2

• 2.5

• 3

• 3.5

Open Ended

Exit Ticket: Triangle PRQ was enlarged to form triangle SUT. What is the scale factor?

Question #3: Find the constant from a table

Multiple Choice

What is the constant of proportionality?

• 15

• 5

• 75

• 25

Multiple Choice

Find the value of x

• x = 3

• x = 30

• x = 1/3

All Proportional Graphs ...

• have points that create a straight line

• go through the origin (0,0)

Multiple Choice

Does this graph represent a proportional relationship?

• Yes

• No

Multiple Choice

Does this graph represent a proportional relationship?

• Yes

• No

How to find the constant from a graph!

• Remember constants are like unit rates

• Unit rates: a relationship where the second quantity is ONE

• Look at the x axis (left to right), and find 1

• Then go down to the left of the graph or y axis!

• This number is your constant!

Multiple Choice

What is the constant?

• 10

• 5

• 1

• 2

All Proportional Equations ...

• use the form y = kx

• k is the constant

• EXAMPLES:

• y = 3x

• y= 1/2x

• y = 5/3x

• y=12x

Multiple Choice

Write an equation for this relationship.

• y=1/5x

• y=1/2x

• y=2x

• y=5x

Multiple Choice

Write the equation for the table given

• y = 1/3x

• y = 3x

• y = 1/2x

• x = 3y

Percent Increase and Decrease

A percentage that tells us how much a quantity went up or down, expressed as a percentage of the starting amount.

Multiple Choice

A store marks up merchandise 40% for profit. If an item costs the store $12, what is the selling price?

• $16.80

• $4.80

• $44.80

• $19

Multiple Choice

Mr. Hammer received a notice from his employer that the cost of his health insurance, every pay period, will increase by 8%. If the new cost will be $28.35, what was the original cost of his insurance?

• $26.08

• $26.25

• $26.81

• $27.27

Multiple Choice

2.) Bob got a raise, and his hourly wage increased from $12 to $15. What is the percent of change?

• 25% decrease

• 25% increase

• 20% decrease

• 20% increase

Two Step Equations

• These are equations that you can solve in two steps

• Typically, the FIRST step is to take care of any addition or subtraction

• Tyipcally, the SECOND step is to take care of any multiplication or division

• There are SOME cases where the steps may be different, but that is usually if you have exponents, parentheses, or a BIG division problem

Multiple Choice

Solve -4(3x - 6) = 48

• -6

• -2

• 2

• -12

Multiple Choice

4x + 7 = 23

• x = 16

• x = 4

• x = 9

• x = 12

Multiple Choice

Solve  9 - 3x = 10

• x = 2/3

• x = 1/3

• x = -1/3

• x = -6 1/3

Inequalities

What is an inequality?

Match

Match the following

-7x ≥ -35

27 ≤ 5x + 4x

x – 2 < -3

19 < 4 + 3d

• -7x ≥ -35

• 27 ≤ 5x + 4x

• x – 2 < -3

• 19 < 4 + 3d

-5k + 7 + 4 - 2k

Example:

Combine ONLY what is the same variable to the SAME degree

• cannot combine x and x²

Combine Like Terms

Multiple Choice

13 - x + 5 + 5x - 19

• -6x - 1

• 4x - 11

• 4x - 1

• 4x - 7

Multiple Choice

2 + 7(2x - 2)

• 14x - 12

• 14x + 16

• -14x - 12

• 14x

Multiple Choice

Simplify the expression: 2x + 1 + 7x 

• 10x

• 10

• 9x + 1

• 9 + 1x

Multiple Choice

Simplify the expression: 7+3(1 - 2x) 

• 21 - 6x

• 10 - 2x

• 10 - 20x

• 10 - 6x

Parts of a Circle

• Radius: line segment that goes from the center to the edge of the circle (HALF the DIAMETER)

• Diameter: line segment that goes from edge to edge on a circle (TWICE the RADIUS)

• Circumference: the distance around the outside of a circle (AKA perimeter)

Area of a Circle

Calculating the area of a circle

Multiple Choice

find the area of the circle below.

• 100 cm

• 225 cm

• 9 cm

• 28.26 cm

Multiple Choice

A tire has a radius of 14 inches. What is its diameter?

• 14 inches

• 7 inches

• 28 inches

Multiple Choice

A pond has a diameter of 12 feet. What is its radius?

• 12 feet

• 6 feet

• 24 feet

Multiple Choice

The radius of the circle is 9 meters. What is the circle's circumference?

• 56.52 m

• 28.26 m

• 18 m

Multiple Choice

Serena drew a circle with a circumference of 157 centimeters. What is the approximate diameter of the circle she drew?

• 1.57 cm

• 50 cm

• 15.7 cm

• 25 cm

Multiple Choice

What is the area of this circle?

• 28.26 in²

• 56.52 in²

• 254.34 in²