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Functions in Geometry Review Questions

Total questions: 15

Worksheet time: 18mins

Name
Class
Date
1.

What is your teachers name?

a)

Mrs. Math-iams

b)

Mrs. Teach

c)

Miss

d)

Mrs. Williams

2.

If f(x) = 2x + 5, what is f(4)?

a)

13

b)

9

c)

10

d)

3

3.

Which of the following represents the input in a function?

a)

f(x)

b)

x

c)

y

d)

The slope

4.

A triangle has a height of 6 cm. Write a function for the area in terms of the base (x).

a)

A(x) = 3x

b)

A(x) = ½(x)(6)

c)

A(x) = x + 6

d)

A(x) = 6x

5.

Which statement best describes a function?

a)

A rule that can assign multiple outputs to the same input.

b)

A rule that assigns exactly one output to each input.

c)

Any equation that uses variables.

d)

A relationship that only works with whole numbers.

6.

A rectangle has a base that is 5 more than its height. If x represents the height, which function represents the area?

a)

A) A(x) = x(x + 5)

b)

B) A(x) = x + 5

c)

C) A(x) = 5x

d)

D) A(x) = x – 5

7.

What does Mrs. Williams expect from all her students?

a)

Free snacks every day 🍫

b)

Perfect TikTok dance skills 💃

c)

Effort 💪 ✅

d)

Mind-reading abilities 🔮

8.

The formula for volume of a cylinder is V = πr²h. Solve for h.

a)

h = V - πr²

b)

h = πr² / V

c)

h = V · πr²

d)

h = V / (πr²)

9.

The formula for circumference of a circle is C = 2πr. Solve for r.

a)

r = C / 2π

b)

r = 2πC

c)

r = 2C / π

d)

r = π / C

10.

If g(x) = x² – 4, what is g(3)?

a)

5

b)

9

c)

–1

d)

–5

11.

If f(x) = –3x + 7, what is f(–2)?

a)

13

b)

1

c)

–13

d)

–1

12.

A number is divided by 4, then 2 is subtracted. Which function represents this?

a)

f(x) = x + 4 – 2

b)

f(x) = 4x – 2

c)

f(x) = 2x – 4

d)

f(x) = (x ÷ 4) - 2

13.

The base of a rectangle is 7 inches longer than its height. If x = height, what is the function for the area?

a)

A) A(x) = x(x + 7)

b)

B) A(x) = 7x

c)

C) A(x) = x – 7

d)

D) A(x) = (x + 7)

14.

Which of the following shows correct function notation for “the output when the input is 10”?

a)

f = 10

b)

f(10)

c)

f(x) = 10

d)

10(x)

15.

Rearrange the equation P = 2L + 2W to solve for L.

a)

L = (P – 2w) / 2

b)

L = (P + 2w) / 2

c)

L = P – w

d)

L = P / 2 – w