Math Review

Solving Equations

100

Solve for x.

3x+5-x=25

x=10

200

Solve for x.

2(x-3)=3x+7-2x

x=13

300

State the number of solutions.

4x-12=4x+12

No solution

400

State the number of solutions.

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

One solution, x=0

500

Write y in terms of x. THEN, find the value of y when x=-2.

2y-3x=7x

y=5x

y=-10

Exponents

100

Evaluate.

16²

256

200

Simplify the expression.

4⁵ x 4⁷

4¹²

300

Simplify the expression.

(3² x 5²)/(5 x 5)

3²

400

Simplify.

2⁴ x 7⁵ x 2

14⁵

500

State the vocabulary word and definition for the different parts of exponential notation. 

aⁿ

Base: number being multiplied by itself.

Exponent: number of times base is multiplied.

Scientific notation/Conversions

100

Write in standard form.

3.67 x 10⁴

36,700

200

Write in standard form. 

4.879 x 10^-2

0.04879

300

Write in scientific notation. 

450,000

4.5 x 10⁵

400

Write in scientific notation. 

0.0078

7.8 x 10^-3

500

Convert 1.78 km to cm.

178,000 cm

Expressions

100

Write the expression: 4 more than twice x. 

4+2x

200

Write the expression: 16 less than one-half x.

1/2 x - 16

300

Write the expression: 2 times the difference of x and 5.

2(x-5)

400

Write the expression: 13 more than one-half the sum of x and 7 minus 3.

13+1/2(x+7)-3

500

Write the expression: 4 times the quantity of 8 less than x plus 47.

4(x-8)+47

MISC.

100

Define reciprocal.

multiplicative inverse; flipped fraction

200

Evaluate.

49 / 7 x 8 - 5 

51

300

Evaluate.

3² - 2(10 + 4) x 2

-47

400

What does the word "quotient" mean in math?

The answer to a division problem.

500

What does the "k" represent in a direct proportion equation y=kx.

Constant of proportionality