Show:
Functions
Exponents and squares
Transformations
Linear equations
Angle Relations
100

Does the relation represent a function?

(1,4), (2,5), (3,6), (1,7)

Not a function

100

Simplify:

a3⋅a4


a7

100

I was in quadrant 1 and rotated to quadrant 2. Which direction and degree did I go?

270 degrees clockwise or 90 degrees counterclockwise

100

3x+7=19 

What is the value of x?

x=4

100

We are inside the two parallel lines, on the opposite side of the transversal. Who are we?

Alternate Interior Angles

200

A relation is shown by the rule:

y=x

Is this a function? Explain why.

Yes 

200

(k3)4

k12
200

The order pair (30,75) was dilated by a scale factor of 1/5. What is the new ordered pair?

(6,15)

200

4x−5=2x+9 

What is the value of x?

x = 7

200

Two lines intersect, forming four angles.

One angle measures 65°. 

What is the measure of the vertical angle?

65°

300

A mapping diagram shows the following relationships: 

  • 2 → 5
  • 3 → 7
  • 4 → 9
  • 2 → 5

Is this relation a function

Yes it is a function

300

Simplify

a3 ⋅ a2 / a4

a

300

The figure was translated, then rotated, then dilated. What type of transformation is the entire sequence: rigid or non-rigid? Explain why.” 

It is non-rigid, because the size changed. 

300

5(x−2)=3x+14 

Solve for x

x=12

300

Two parallel lines are cut by a transversal.

Angle 1 measures 110°. What is the measure of the same-side interior angle next to it? 

70° 

 Same-side interior angles are supplementary, so they add to 180°

110∘+70∘=180 


400

A relation is defined by the equation:

y=2x−3


If the relation includes the points
(1,−1),(2,1),(3,3),(4,5)

Does this represent a function?

Yes, it is a function

400

Simplify

(j5)2 ⋅ j3 / j4

j9

400

A triangle has vertices at
A(2, 3), B(5, 3), and C(4, 6).

  1. The triangle is reflected over the y-axis.
  2. Then it is translated up 2 units and left 1 unit.

What are the coordinates of the final image A″, B″, and C″?

  • A″ = (-3, 5)
  • B″ = (-6, 5)
  • C″ = (-5, 8) 
400

2(3x−4)+5=4(x+1)+9

Solve for x

x=8

400

Two parallel lines are cut by a transversal.

Angle 1 measures (3x + 10)°
Angle 2 measures (5x − 30)°

Angle 1 and Angle 2 are alternate interior angles. What is the value of x, and what is the measure of each angle? 

  • x = 20
  • Angle 1 = 3(20)+10=70∘3(20) + 10 = 70
  • Angle 2 = 5(20)−30=70∘5(20) - 30 = 70
500

A relation is shown by the equation:

x2+y2=25

Does this equation represent a function? Why?

No, because it will appear a square root in the equation.

500

Simplify

(a3b-2)2 ⋅ a-1b4  /  a2b-3

a3b3


500

Triangle △ABC\triangle ABC△ABC has vertices
A(1, 2), B(4, 2), and C(3, 5).

The triangle undergoes the following transformations in order:

  1. Rotate 90° clockwise about the origin
  2. Reflect over the line y=x
  3. Dilate by a scale factor of 2 centered at the origin
  • A‴ = (-2, 4)
  • B‴ = (-8, 4)
  • C‴ = (-6, 10) 
500

4(2x+3)−5=8x+9

 How many solutions does this equation have? Explain your answer.

no solution

500

Two lines intersect, creating four angles.

  • One angle measures (4x + 10)°
  • The adjacent angle measures (2x + 50)°
  • What is the value of x, and what is the measure of each angle?

x = 20 


(4x+10)+(2x+50)=180