Awesome Algebra!!

Patterns, Expressions, Equations

Patterns

What is the next number in this pattern?

2, 3, 5, 8, 12

A. 24

B. 17

C. 13

D. 15

Answer

B. 17

The pattern is increasing by 1 more each time

2+1=3

3+2=5

5+3=8

8+4=12

12+5=17

Marcy drew a pattern for her little sister to finish

What 3 shapes come next in the pattern?

A. B. C. D.

Answer

A.

What is the next number in this pattern?

59, 52, 44, 35, _____

A. 26

B. 25

C. 28

D. 27

Answer

• B. 25The next number in the pattern is 25.The rule is subtract 1 more each time.59-7=5252-8=4444-9=3535-10=2525-11=1414-12=2

What fractions comes next in this pattern?

½, 2/4, 4/8, 8/16, ?/?

A. 16/36

B. 16/32

C. 12/32

D. 11/25

Answer

B. 16/32

The pattern is multiply the numerator and denominators by 2

8 (x2) = 16

16 (x2) = 32

Which two numbers will be next in the pattern?

6, 11, 16, 21, ____, ____

A. 23, 28

B. 25, 31

C. 26, 30

D. 26, 31

Answer

D. 26, 31

You found each number by adding 5.

The next numbers are 26 and 31.

What is the next number in this pattern?

12, 14, 17, 21, ____

A. 26

B. 25

C. 24

D. 23

Answer

A. 26

The rule is add 1 more each time.

12+2=14

14+3=17

17+4=21

21+5=26

What is the missing number in the pattern?

160, 80, 40, 20, ___, 5

A. 10

B. 5

C. 2

D. 15

Answer

A. 10

160, 80, 40, 20, 10, 5

The pattern is that each number is ½ the number before it.

Becky has 3 times as many dolls as her friend Gwen. Let g equal the number of dolls that Gwen has.

How would you express the number of dolls Becky has?

A. g-3

B. g/3

C. g+3

D. gx3

Answer

D. gx3

Becky has 3 times the number of Gwen’s dolls.

Gwen’s doll is multiplied by 3

Becky’s dolls equals gX3

The number of dogs in the United States is 6 times the number of deer. Let b express the

number of deer.

Which expression shows the number of dogs?

A. b/6

B. 6/b

C. bx6

D. B+6

Answer

C. bx6

There are 25 million deer in the US. There are 6 times as many dogs.

6x25 million= 150 million

There are 150 million dogs

Sue noticed that 13 students brought lunch to school. Let b represent students that buy their

lunch.

Which expression shows the total number of students in Sue’s class?

A. b+13

B. 13xb

C. b-13

D. b+b

Answer

A. b+13

b= students who buy lunch.

13 = students who bring lunch

b+13 is the expression that shows the total number of students

Dante is twice as old as her cousin, Angela. Let a express Angela’s age.

How do you express Dante’s age?

A. A + 2

B. 2 x a

C. A - 2

D. a/2

Answer

B. 2 x a

Dante is twice as old or two times as old as Angela

2 x a = 2 times Angela’s age

2 x a= Dante’s age

Holly had $25.00 to spend at the book fair. She purchased 2 books for $11.25 each.

Which expression can be used to find how much money Holly had left?

A. $25.00- ($11.25 – 2)

B. $25.00 – ($11.25 x 2)

C. $25.00 – ($11.25 + 2)

D. $25.00/ ($11.25 x 2)

Answer

B. $25.00 – ($11.25 x 2)

Holly had $25.00.

2 books for $11.24 each: $11.25 x 2

Subtract the cost of 2 books from $25.00

Mrs. Clark had a budget of $75.00 for the class play. She needs to buy 3 cowboy hats which cost $5.00 each and 12 flags which cost $1.00 each.

She must spend $25.00 for balloons.

Which number sentence shows how much money is left for sodas?

A. ($15.00 + $12.00 + $25.00) - $75.00

B. $75.00 – ($15.00 + $12.00 + $25.00)

C. $75.00 – (3 + 12)

D. $75.00 – ($5.00 + $12.00 + $25.00)

Answer

B. $75.00 – ($15.00 + $12.00 + $25.00)

Her budget is $75.00. Her purchases are subtracted from $75 to find the amount left.

Purchases 3 cowboy hats x $5.00 = $15

12 flags x $1.00 = $12

balloons = $25

$52

$75.00 - $52.00 = $23.00 left

Matt saves $60.00 a month. Let m stand for the number of months that he saves.

Which expression shows how much money he saves altogether?

A. $60.00 + m

B. $60.00 / m

C. $60.00 x m

D. $60.00 - m

Answer

C. $60 x m

Kevin saved $5 per week in a cookie jar. Let w equal the number of weeks.

Which expression shows the total amount of money saved?

A. W – 5

B. w/5

C. 5 x w

D. 5 + w

Answer

C. 5 x w

5 x w means $5 times the number of weeks he saved money.

Try the expression using 4 weeks: 5w x 4 = $20

In 4 weeks he would save $20.

Dustin has 27 toy cars. He wants to have a total of 40 cars.

Which expression tells how many more cars Dustin needs?

A. 40 + 27

B. 40 x 27

C. 40/27

D. 40 - 27

Answer

D. 40 – 27

Dustin wants 40 cars. He has 27 cars. He needs 13 more cars.

40 – 27 = cars he needs

40 – 27 = 13

Which expression has the same value as 5 + 5 + 5 + 5

A. 5 x 4

B. 5 x 5 x 5 x 5

C. 20 + 5

D. 4 + 5

Answer

A. 5 x 4

Giselle saves $25 per week in a savings account. She now has $150.

Which equation shows how many weeks she has been saving?

A. $25 + w = $150

B. $25 x w = $150

C. $25 – w = $150

D. $25/w = $150

Answer

B. $25 x w = $150

What should you do to solve the following equation?

7 ____ 3 = 21

A. Divide

B. Subtract

C. Multiply

D. Add

Answer

C. multiply

Ann Marie cut each pie into 8 slices. There were 5 pies.

8(5) = s

How many slices of pie, s, did she cut?

A. 46 slices

B. 40 slices

C. 68 slices

D. 13 slices

Answer

B. 40 slices

Antonio is 5 years older than Fred. Fred is 11 years old. Let a equal Antonio’s age

Which equation shows Antonio’s age?

A. A = 11 – 5

B. A = 11 x 5

C. A = 11 + 5

D. A = 11/5

Answer

C. A = 11 + 5