Review

Functions

100

Determine if the relation is a function.

{(1,4),(2,5),(3,6)}

yes. 

200

Find the domain.

{(−2,4),(5,7),(8,1),(0,−3)}

 {−2,0,5,8}

300

Find the domain of

f(x) = 5 / (x−3)

All real numbers except x=3

400

g(x) = 3x−7

Find g(−2)

-13

500

A relation has 7 ordered pairs and only 5 different x-values.

Can it be a function? Explain.

Only if none of the repeated x-values have different y-values.

Probability

100

A die is rolled.

What is the probability of rolling a 4?

1 / 6

200

A bag contains 5 red, 3 blue, and 2 green marbles.

What is the probability of selecting a blue marble?

3 / 10

300

A coin is flipped twice.

What is the probability of getting exactly one head?

1 / 2

400

A spinner has 8 equal sections numbered 1–8.

What is the probability of spinning an even number?

1 / 2

500

A bag contains 4 red, 5 blue, and 3 green marbles.

Without replacement, what is the probability of drawing two red marbles?

 4 / 12 × 3 / 11 = 1 / 11

Exponents

100

Simplify 

3⁴

81

200

Simplify 

x⁴ ⋅ x⁷

x¹¹

300

Simplify

12x⁵y³ / 4x²y

3x³y²

400

Simplify

x⁻³y² / z^-4

y²z⁴ / x³

500

Simplify 

(2x^-2y³)² / 4xy^-1

y⁷ / x⁵

Polynomials

100

How many terms are in: 

5x²−3x+7

3

200

What is the degree?

8x⁵ + 9

5

300

Multiply 

2x(x²+5)

2x³ + 10x

400

Multiply

(3x²) (4x⁵ - 2x  + 1)

12x⁷ - 6x³ +3x²

500

Simplify

(2x² − 3x + 4) + (5x²+x−7)

7x²−2x−3

Ratios

100

Simplify 

12:18

2:3

200

If 5 notebooks cost $15, how much does one notebook cost?

$3

300

A map uses the scale

1 inch = 8 miles.

How many miles does 5 inches represent?

40 miles.

400

A recipe uses flour and sugar in the ratio 3:5.

If there are 30 cups of sugar, how many cups of flour are needed?

18 cups

500

4 / 7 = x / 35

x = 20