Operational and Algebraic Thinking

1.

1 point

Kerry has $50.00. She spends $2.00 on lunch every day. Which expression
will determine how much money she has left after 21 days?

$50 – ($2 × 21)

($2 × 21) + $50

($2 × 21) – $50

$50 + ($2 × 21)

2.

1 point

If the pattern continues, what is the next ordered pair in the sequence?
x y
4 6
6 9
8 12
10 15
__ __

(12,17)

(12,18)

(13,17)

3.

1 point

Mr. Jones wrote the expression below on the board.
3{7[8 + 3(200 – 100) + 10]}
What is the first step in solving the expression?

8 + 3

200 – 100

3 × 7

3 × 200

4.

1 point

Erik bought a loaf of bread and a gallon of milk. The bread cost $1.55,
and the milk cost $4.15. He paid with a $10.00 bill. Which expression can
determine how much change he should receive?

($10.00 + $4.15) + $1.55

($10.00 + $4.15) – $1.55

$10.00 – ($4.15 + $1.55)

$10.00 – ($4.15 – $1.55)

5.

1 point

What is the correct solution to the equation below?
9[(9 + 3) − 60 ÷ 20]

81

135

105

6.

1 point

There are 22 students in Mrs. Watson’s class. They are participating in a
fundraiser to buy 300 books for the school library. Each book costs $6.
Which expression represents how much money each student must raise?

(300 × 6) × 22

22 ÷ (300 × 6)

(300 × 6) ÷ 22

22 × (300 ÷ 6)

7.

1 point

How can Jenny solve the expression 4 × (6 + 2)?

Multiply 4 × 6 and then add 2.

Multiply 4 × 2 and then add 6.

Add 4 + 6 + 2.

Add 6 + 2 and then multiply by 4.

8.

1 point

Each week, Derrick and Ronald save some money. The table below shows the total money they saved at the end of each week.

End of Derrick’s Total Ronald’s Total
Week Saved Saved
1 $3 $7
2 $6 $14
3 $9 $21
4 $12 $28
5 $15 $35

Which describes the relationship between the amount Derrick saves each week and the amount Ronald saves each week?

Week Number × 4 = Difference in Saved Amounts

Derrick × 2 + 1 = Ronald

Week Number ÷ 4 = Difference in Saved Amounts

Derrick + $4 = Ronald

9.

1 point

Which explains the expression (3 + 2) × 6?

6 more than the sum of 3 and 2

the sum of 3 and 2 divided by 6

6 times the sum of 3 and 2

3 more than 2 times 6

10.

1 point

What is the value of this expression?
18 + (0.4 x 9)

165.6

21.6

27.4

11.

1 point

What is the value of this expression below?
10 – (0.6 × 4)

37.6

12.4

7.6

12.

1 point

Marlena paid $8.00 for a sheet of 25 postage stamps. Which expression
shows how to find the cost of each stamp?

25 ÷ $8.00

25 × $8.00

$8.00 + 25

$8.00 ÷ 25

13.

1 point

Claudia’s car averages 24 miles per gallon of gasoline. If she drives n
miles, how many gallons does she use?

n × 24

n + 24

n − 24

n ÷ 24

14.

1 point

What is the value of the expression 36 ÷ (12 − 9) + 2 × 4 + 5?

7

61

34

25

15.

1 point

The fifth grade is planning to go on a field trip to a play. Using the table
below, how much would it cost for 10 people to go on the trip?

# of Price of tickets
students (in dollars)
1 4
2 8
3 12
4 16
5 20

$25

$40

$37

16.

1 point

David is 4 times older than Carrie. He is also 5 years older than Lisa. If
Lisa is 15, which expression shows how old Carrie is?

(4 + 5) × 15

(5 + 15) ÷ 4

(4 × 5) + 15

(5 + 15) × 4