Pre-Algebra 2023 Comp Practice

Geometry

100

Find the hypotenuse of a right triangle if both legs are 5 units long.

`sqrt50, or 5 sqrt2`

200

Find the volume of a cylinder if radius is 5 meters and height is 3 meters.

`75pi " cubic meters"`

300

If a cube's volume is 343 cubic inches, find its surface area.  

294 square inches

400

What is the volume of a cone with a radius 15 inches and a slant height of 25 inches?

`1500pi " cubic inches"`

500

`"If " Delta ABC ~ Delta DEF "and both are right triangles" `

`"what is DF if AB = 10, BC = 24, and DE = 30?"`

78 units

Graphing

100

`"Graph on a number line " x<= -4`

Closed dot at -4, shaded left

200

If (-3, 7) is reflected over the y-axis, the new location is:  

(3, 7)

300

Graph on a number line:  

Solid dot on 4, shaded right

400

Graph the point (x, y) if 

4x + 4 = -20 and 3y - 5 = 10

(-6, 5) in the second quadrant

500

Graph the line y = x + 3

Equations

100

Solve:  

3x+ 7x + 5 = 70 - 3x

x = 5

200

Solve:  

9x² + 7 = 2x² + 35

`x = +- 2`

300

If the sum of a number and 6 is multiplied by negative 2, the result is seven less than three times the number.  What is the number?

-1

400

Solve:  

10x² - 7 + 3 = 11x² - [(-7)(-2)-1]

`x = +- 3`

500

What is 12x^-1 if 

`23x+(-3)^4div3 = 8!-40155`

2

%, Decimals, Fractions

100

What is w if 20% of 50 is w?

10

200

What percent of 50 is 20?

40%

300

What is 

`3 1/4% " of 2?"`

0.065 or 

`13/200`

400

What decimal is 13% of 20?

2.6

500

What fraction is 

`7 1/13 " of 2?" `

`184/13`

PEMDAS

100

Simplify:  

`[6+(5 +(-3)]2`

16

200

Simplify: 

`30+[6(4-6+10(-6)]`

-342

300

Simplify: 

`3[3^-1(9)-5^-2(125)]`

-6

400

Simplify:

`7^3-5^2+abs(-3+5(-19))-3+1017`

1430

500

Simplify: 

`abs(-6+5)-5^2+25+9^3-5^3-abs(442-2(107+104))`

585