Free Printable Algebra: Patterns and equations

Worksheets

Algebra: Patterns and equations

Total questions: 45

Worksheet time: 4hrs 45mins

Name

Class

Date

What is the rule connecting B and T ?

B = T + 1

x 2

B = T + 2

B = 2 T

What is the rule for this carpet cleaning rental?

C = 6H + 10

C = 4H +1

C = 5H + 2

C = 2H + H

C = 3H + 3

Which equation represents the relationship of the values in the table?

y = x + 6

y = 6 - x

y = x + 3

y = 3x

y = 4x - 3

Which equation shows the relationship between e and f ?

f = e + 35

f = 6e

e = f + 35

e = 6f

Which is the correct rule for the table?

Which is the correct rule for the pattern in the table?

How many cookies will be on 5 plates?

What number belongs in the missing box?

An experiment is being done to determine how light affects the growth of small zinnia plants. One plant is placed in full sunlight, the second in a shaded area, the third in an unlit closet. What is the independent variable in the experiment?

the amount of light

the type of plants

the type of soil

the length of the experiment

10.

This variable in an experiment is the one being deliberately changed by the scientist.

dependent variable

independent variable

data

control group

11.

Mr. S. sets up an experiment to see how the mass of a ball affects the distance it rolls off a ramp. Identify the independent variable.

distance traveled by the ball

height of the ramp

mass of the ball

weight of the ball

12.

A bug repellent was sprayed on one arm. On the other arm, the bug repellent was not sprayed. After 2 hours, the number of bug bites are recorded. What is the independent variable?

The type of bug repellent

If an arm was sprayed with bug repellent or not

The number of bug bites

13.

A bug repellent was sprayed on one arm. On the other arm, the bug repellent was not sprayed. After 2 hours, the number of bug bites are recorded. What is the dependent variable?

The type of bug repellent

If an arm was sprayed with bug repellent or not

The number of bug bites

14.

Javier and his twin sister both have the same science exam. Javier sleeps for 9 hours the night before the exam and his sister sleeps for 6 hours. After they take the test, they both compare their test grades. What is the independent variable?

The number of hours of sleep they had

The type of test

The test grades

15.

The test grades

The number of hours of sleep they had

The type of test

16.

Group A decides to exercise for a month. Group B decides not to exercise during the same month. Afterwards, they measure the amount of weight that each group lost. what is the independent variable?

How much weight each group lost

The type of exercise

If group exercises or not

17.

Group A decides to exercise for a month. Group B decides not to exercise during the same month. Afterwards, they measure the amount of weight that each group lost. what is the dependent variable?

If a group exercises or not

How much weight each group lost

The type of exercise

18.

One math class studies for an upcoming test while another math class does not study for the same test. The test scores of the two classes are compared afterwards. What is the independent variable?

The test scores

If a class studies or not

The type of class

19.

One plant is given sunlight every day. Another plant of the same type is not given any sunlight. After 3 weeks, the height of each plant is measured. What is the independent variable?

The type of plant

If a plant receives sunlight or not

How tall the plants are

20.

One plant is given sunlight every day. Another plant of the same type is not given any sunlight. After 3 weeks, the height of each plant is measured. What is the dependent variable?

How tall the plants are

The type of plant

If a plant receives sunlight or not

21.

Sophie earned $5 for every A she got on her report card.

m = money

A = A on report card

The dependent variable is:

m = money

A = A on report card

22.

Independent means

an amount that can stand on its own

an amount that depends on another amount

23.

Jimmy earned $8 for every pizza he delivers.

m = money (dollars)

p = number of pizzas delivered

The dependent variable is:

m = money

p = number of pizzas delivered

24.

Emma gets one sticker for every paper she completes.

s = stickers earned

p = papers completed

The independent variable is:

s = stickers earned

p = papers completed

25.

Ty earns $12 per hour. Which of the following equations best represents how much money, m, he earns on a shift of h hours?

m = 12h

m = 12 + h

h = 12m

h = 12 + m

26.

The graph shows the distance traveled by Ms. Luce's family on a road trip. They will travel 25 miles each hour. Which statement is true about the situation?

the independent variable is distance

the independent variable is d=25 t

the dependent variable is time

the dependent variable is distance

27.

Changes in the _________ variable causes changes in the _________ variable.

independent; dependent

dependent; independent

28.

Marcos wants to know: Does the type of gasoline put in a car effect how fast the car can drive? What is the independent variable?

Type of gasoline

which car the gas is put into

how fast the car can drive

how much gas is put into the car

29.

Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.

m=50 + w

w= 50m

w= 50 + m

m= 50 - w

30.

Look at the table below. Write an equation to match the pattern between m, minutes and bubbles blown, b.

b = 12(m)

b= m +12

b = m ÷ 12

none of these

31.

Use the equation m = 8 + d for find how old Mary (m) is if David (d) is 10 years old.

80 years old

1 year old

15 years old

18 years old

32.

What is the algebraic equation for this table?

y = x + 3

y = 3x

y = x ÷ 3

y = x - 3

33.

Which equation matches the table?

y = x

y = 5x

y = x - 4

y = x + 4

34.

Greg gets paid $6 an hour working in a garden. Use the equation m=6h, where m is the money he makes, and h is the hours he works. How much money does he make if he works 9 hours?

$15

$54

$53

35.