Q4 Illuminate Inspect Review

Right Triangles

100

Is the triangle with sides 20 21 29 a right triangle.

Yes it is a right triangle.

200

Find the hypotenuse of a right triangle when the legs are 15 and 20 centimeters long.

The hypotenuse is 25 cm?

300

Which side is the hypotenuse of this right triangle with side lengths 156, 60, and 144.

156 is the hypotenuse.

400

Find the unknown leg of a right triangle with one leg 144 feet and a hypotenuse 145 meters.

The leg is 17 meters.

500

Find the hypotenuse of a right triangle with sides 48 inches and 55 inches.

73 inches

Linear Equations

100

Write the equation of the line with a slope of 3/4 and a y-intercept of -2

y = 3x/4 -2

200

Which has a greater rate of change?

a)  y = 6x/5 - 2

b)  y = 3x/2 + 5

c)  y = 5x/4 +3

b) y = 3x/2 + 5

300

Find the equation of the line that goes through the points (-1, -2) (2, 7) & has a y-intercept of (0, 1).

y = 3x +1

400

 y = -5x +2

What is the slope of the line?  What is the y-intercept?

slope = -5  y-intercept = 2

500

Which line is horizontal (slope = 0) & which line is vertical (slope undefined)?

a)  y = 5

b)  x = 4

a) y = 5 is a horizontal line; slope = 0

b) x = 4 is a vertical line; slope = undefined

Scientific Notation

100

Convert to scientific notation:

4,150,000,000.

4.15 x 10⁹

200

Convert scientific notation:

.00000725

7.25x10^-6

300

Convert to standard form:

3.16 x 10^-7

.000000316

400

Convert to standard:

1.45 x 10⁵

145,000.

500

(1.3 x 10⁵)(3.8 x 10⁶)

4.94 x 10¹¹

Solving Equations

100

Solve for y.

8(y - 1/2) = 6y - 10

y = -3

200

Mr. Hackworth drives 245 miles in 3.5 hours. What was his speed in mph?

His speed was 70mph

300

3x - 4 +7x = 2(5x + 1)

No solution.  -4 does not equal 2

400

3(x+2) -2 = 4(x-2)+3x

x = 3

500

4 + 5x + 11 = 5(x+3)

Infinitely Many Solutions 

Squares and Cubes

100

Square root of 5625

75

200

Cube root of -1728

-12

300

x² + 5 = 30

x = +/- 5

400

4x²=324

x = +/- 9

500

x³ - 10 = 3365

x = 15