Question 1

Pythagorean Theorem formula

Accepted Answer

a² + b² = c²

Question 2

In a² + b² = c², what is c?

Accepted Answer

The hypotenuse.

Question 3

What is the hypotenuse?

Accepted Answer

The longest side of a right triangle; across from the right angle.

Question 4

How do you find a missing hypotenuse?

Accepted Answer

Square both legs, add, then take the square root.

Question 5

How do you find a missing leg?

Accepted Answer

Square the hypotenuse, subtract the known leg squared, then take the square root.

Question 6

A right triangle has legs 5 and 12. What is the hypotenuse?

Accepted Answer

13

Question 7

A right triangle has hypotenuse 13 and one leg 5. What is the missing leg?

Accepted Answer

12

Question 8

A right triangle has legs 7 and 24. What is the hypotenuse?

Accepted Answer

25

Question 9

Can 6, 8, and 10 make a right triangle?

Accepted Answer

Yes, because 6² + 8² = 10².

Question 10

Cylinder volume formula

Accepted Answer

V = 3.14r²h

Question 11

If a cylinder gives diameter, what do you find first?

Accepted Answer

Radius; divide the diameter by 2.

Question 12

A cylinder has radius 3 cm and height 10 cm. What is the volume?

Accepted Answer

282.6 cm³

Question 13

A cylinder has diameter 10 ft. What is the radius?

Accepted Answer

5 ft

Question 14

A cylinder has radius 5 ft and height 8 ft. What is the volume?

Accepted Answer

628 ft³

Question 15

Why does volume use cubic units?

Accepted Answer

Volume measures space inside a 3D object.

Question 16

How do you solve equations with variables on both sides?

Accepted Answer

Move variables to one side, move constants to the other side, then divide.

Question 17

What should you do first if an equation has parentheses?

Accepted Answer

Distribute first.

Question 18

Solve: 4x + 7 = x + 19

Accepted Answer

x = 4

Question 19

Solve: 9x − 4 = 5x + 20

Accepted Answer

x = 6

Question 20

Solve: 3(x + 2) = 2x + 18

Accepted Answer

x = 12

Question 21

How do you know an equation has infinitely many solutions?

Accepted Answer

The variables cancel and the remaining statement is true.

Question 22

How do you know an equation has no solution?

Accepted Answer

The variables cancel and the remaining statement is false.

Question 23

Which equation has infinitely many solutions?

Accepted Answer

2x + 4 = 2x + 4

Question 24

Which equation has no solution?

Accepted Answer

5x − 1 = 5x + 7

Question 25

What is the solution to a system?

Accepted Answer

The ordered pair that works in both equations.

Question 26

What does the intersection of two lines show?

Accepted Answer

The solution to the system.

Question 27

Does (2, 3) solve y = x + 1 and y = −x + 5?

Accepted Answer

Yes, it works in both equations.

Question 28

What is the solution if two lines intersect at (3, 3)?

Accepted Answer

(3, 3)

Question 29

A gym charges 20 + 8x. Another charges 12 + 10x. When are they equal?

Accepted Answer

After 4 classes.

Question 30

What does x mean in the gym problem?

Accepted Answer

The number of classes.

Question 31

Translation rule

Accepted Answer

Right adds to x, left subtracts from x, up adds to y, down subtracts from y.

Question 32

Translate B(−2, 5) left 3 and up 1. What is B′?

Accepted Answer

(−5, 6)

Question 33

Translate (3, −2) using (x, y) → (x − 4, y + 6).

Accepted Answer

(−1, 4)

Question 34

Dilation rule from the origin

Accepted Answer

Multiply both coordinates by the scale factor.

Question 35

Dilate Q(−4, 8) by k = 1/2. What is Q′?

Accepted Answer

(−2, 4)

Question 36

Dilate P(2, 5) by k = 3. What is P′?

Accepted Answer

(6, 15)

Question 37

A figure is dilated by scale factor 2. Is it similar or congruent?

Accepted Answer

Similar, not congruent.

Question 38

Corresponding angles are

Accepted Answer

Congruent.

Question 39

Same-side interior angles are

Accepted Answer

Supplementary; they add to 180°.

Question 40

Congruent angles rule

Accepted Answer

Set the expressions equal.

Question 41

Supplementary angles rule

Accepted Answer

Add the expressions and set them equal to 180°.

Question 42

Corresponding angles are congruent. 3x + 20 = 95. What is x?

Accepted Answer

x = 25

Question 43

Same-side interior angles are 6x° and 3x°. What is x?

Accepted Answer

x = 20

Question 44

If x = 20, what are 6x° and 3x°?

Accepted Answer

120° and 60°

Question 45

What is a positive association?

Accepted Answer

As one variable increases, the other usually increases.

Question 46

What is an outlier?

Accepted Answer

A data point far away from the rest.

Question 47

On the test scatter plot, what is one possible outlier?

Accepted Answer

The point around (5, 45).

Question 48

For 3 hours of studying, what is a reasonable prediction?

Accepted Answer

About 78 points.

Question 49

Relative frequency formula

Accepted Answer

Part ÷ total

Question 50

What fraction and percent is 30 out of 40?

Accepted Answer

3/4 and 75%

Question 51

What percent is 18 out of 20?

Accepted Answer

90%

Question 52

What percent is 12 out of 20?

Accepted Answer

60%

Question 53

How do you find a row or column total in a two-way table?

Accepted Answer

Add the numbers in that row or column.