Chapter 9

Expressions Order of Operations Equations Balancing

EquationsWork Backward

& Find a Rule

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

50 50 50 50 50

Question 1 - 10

Find the value of the expression.

(3 x 8) + 5

Answer 1 – 10

29

Question 1 - 20

Find the value of the expression.

34 – (4 x 4)

Answer 1 – 20

18

Question 1 - 30

Write an expression to match the words.

Tyler has $25. She wants to buy 4 movie tickets at $3 each for herself and her friends. How

much money will she have left over?

Answer 1 – 30

25 – (4 x 3)

Question 1 - 40

Write an expression to match the words.

Camille is decorating frames with seashells. She makes 6 frames with 4 seashells each. She has 3

shells left over. How many shells did she start with?

Answer 1 – 40

(6 x 4) + 3

Question 1 - 50

Write an expression to match the words, then solve.

Lauren had $8 and then worked 4 hours for $5 each hour.

How much money does Lauren have now?

Answer 1 – 50

8 + (4 x 5)

$28

Question 2 - 10

Is the order of operations listed correctly or incorrectly?

4 x (9+2)Add, multiply

Answer 2 – 10

Correctly

Question 2 - 20

Is the order of operations listed correctly or incorrectly?

72 ÷ (2+6)

Divide, add

Answer 2 – 20

Incorrectly

Question 2 - 30

Follow the order of operations to find the value of the expression.

5 + 4 x 6

Answer 2 – 30

29

Question 2 - 40

Follow the order of operations to find the value of the expression

5 x (23 – 18) + 7

Answer 2 – 40

32

Question 2 - 50

Follow the order of operations to find the value of the expression

(78 – 24) ÷ 9 - 3

Answer 2 – 50

3

Question 3 - 10

Solve the equation.

21 = a x 7

Answer 3 – 10

A = 3

Question 3 - 20

Solve the equation.

48 ÷ c = 6

Answer 3 – 20

C = 8

Question 3 - 30

Write an equation using a variable that matches the words.

8 students in each of 8 groups is the total number of students.

Answer 3 – 30

8 x 8 = s

Question 3 - 40

Write an equation using a variable that matches the words.

Some pencils in each of 5 boxes is a total of 50 pencils.

Answer 3 – 40

5b = 50

Question 3 - 50

Write an equation using a variable that matches the words. Solve for your variable.

A number of ice cubes divided equally among 7 glasses is 5 ice cubes.

Answer 3 – 50

N ÷ 7 = 5

N = 35

Question 4 - 10

Divide both sides of the equation by 4. What is the new value of each side?

2 x 6 = 3 x 4

Answer 4 – 10

3 = 3

Question 4 - 20

Multiply both sides of the equation by 8. What is the new value of each side?

6 = 2 x 3

Answer 4 – 20

48 = 48

Question 4 - 30

Divide both sides of the equation by 2. What is the new value of each side?

(3 + 7) = (2 x 5)

Answer 4 – 30

5 = 5

Question 4 - 40

Multiply both sides of the equation by 6. What is the new value of each side?

5 pennies = 1 nickel

Answer 4 – 40

30 cents = 30 cents

Question 4 - 50

Multiply both sides of the equation by 5. What is the new value of each side?

1 dime 2 pennies = 2 nickels 2 pennies

Answer 4 – 50

60 cents = 60 cents

Question 5 - 10

Find a rule. Write the rule as an equation.

Input x 21 28 35 42Output y 3 4 5 6

Answer 5 – 10

Rule: Divide by 7

Equation: x ÷ 7 = y

Question 5 - 20

Work backward to solve.

Jimmy had 14 model cars. He gave some away as gifts. Then he got 3 more. Now he has 12 model

cars.

How many cars did Jimmy give away?

Answer 5 – 20

Jimmy gave away 5 cars

Question 5 - 30

Write an equation and work backward to solve.

Tommy had 3 nickels. Angela gave him some quarters. Now he has 90 cents. How much

money did Angela give him?

Answer 5 – 30

Equation: (3 x 5) + m = 90

Solve: Angela gave 75 cents, or 3 quartersOr m = 75 cents

Question 5 - 40

Find a rule. Write the rule as an equation. Find the missing numbers.

Input w ___ ___ 6 8 10 12Output z 24 48 72 96 120 144

Answer 5 – 40

Rule: Multiply by 12

Equation: w x 12 = z

Missing numbers: 2,4

Question 5 - 50

Write an equation and work backward to solve.

Jack had some dimes. He spent 4 dimes on candy and had 30 cents left over. How many

dimes did Jack have before buying the candy?

Answer 5 – 50

Equation: d – (4 x 10) = 30

Solve: 7 dimesOr d = 70 cents, which is 7 dimes