GMAS Prep

Exponents & Square Roots

100

Evaluate 5^{2 .}  5⁴ 

Which exponent rule did you use?

15625

Multipying powers

200

Evaluate 3⁵/3⁴ 

Which exponent rule did you use?

3

Dividing powers

300

5^-5

Which rule exponent rule did you use?

1/3125

Negative exponent 

400

68⁰

Which exponent rule did you use?

1

Zero power exponent

500

Evaluate the following:

x³=343 

square root of 25

cube root of  729

x²= 36

7

5

29

6

Scientific Notation

100

What is 4.79 x 10⁵ in standard form?

479000

200

The width of a humans hair is approximately 0.0003in. What is the width written in scientific notation?

3 x 10^-4

300

How many times larger is (5.4 x 10⁴) than (9 x 10⁶)

6 x 10²

400

Subtract (3.4 x 10⁵)-(2.1 x 10⁴)

3.19 x 10⁵

500

Add 12,000 + (3.4 x 10⁵)

3.52 x10⁵

Solving Equations

100

Create an equation that has no solution?

7x + 3 = 7x -5

Same variable term different constant terms

200

Find the value of x: 4x + 2(x-3) = -5x + 24.7?

infinite solution

300

Evalute:

5(x-3) -2x = 5x -11

x = -2

400

-10(x+2)-5x=-9x+16

x=-6

500

x/2 + 5 =12

x=14

Functions

100

Which of the following relations does NOT represent a function?

A. (5,8), (10,2), (12,-2), (15,-5)

B. y=1/4 x + 8

C. Multiply each input by 10 to produce an output

D. Age:           13        14       12        13

     Eye Color:  Brown   Blue   Green   Hazel

D

200

Describe this relation shown below:

(2,10), (4,15), (6,20), (8,25)

The relation is a function because every input has exctly one output

300

Which equation shown below shows a linear relationship?

A. y=3x +4

B. y=1/2x²-1

C. 2x²+y=5

D. y=2/x

A

400

Which equation represent a line passing through the points (2,3) and (4,10)?

A. y=5/2x

B. y=2/5x

C. y=5x +2

D. y=2x +5

B

500

David allowance is $5 every week, plus $2 for each extra chore he does. Write the  equation that shows his total allowance (A) every week, depending on the number of extra chores (c) he completes?

A=5c+2

System of Equations

100

Page 20 Question 1

What is the solution to the system of equations graphed?

B

200

2x + y = 10

4x + 3y = 15

(5,-5)

300

What is true about the system of equations shown below?

3x + 7y =14

3x+7y =10

The system of equation has no solutions

400

Page 21 number 5

C

500

In a barn there are 17 animals. Some are cows and some are ducks. There are 54 legs in all. Write the  system of equations below could be used to find how many ducks are in the barn?

c+d=17

4c +2d = 54