Expressions Order of Operations Equations Balancing Equations Work Backward & Find a Rule

Question Find the value of the expression. (3 x 8) + 5

Answer 1 – 10 29

Question Find the value of the expression. 34 – (4 x 4)

Answer 1 – 20 18

Question 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 – – (4 x 3)

Question 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 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 – (4 x 5) $28

Question Is the order of operations listed correctly or incorrectly? 4 x (9+2) Add, multiply

Answer 2 – 10 Correctly

Question Is the order of operations listed correctly or incorrectly? 72 ÷ (2+6) Divide, add

Answer 2 – 20 Incorrectly

Question Follow the order of operations to find the value of the expression x 6

Answer 2 – 30 29

Question Follow the order of operations to find the value of the expression 5 x (23 – 18) + 7

Answer 2 – 40 32

Question Follow the order of operations to find the value of the expression (78 – 24) ÷ 9 - 3

Answer 2 – 50 3

Question Solve the equation. 21 = a x 7

Answer 3 – 10 A = 3

Question Solve the equation. 48 ÷ c = 6

Answer 3 – 20 C = 8

Question 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 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 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 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 Multiply both sides of the equation by 8. What is the new value of each side? 6 = 2 x 3

Answer 4 – = 48

Question 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 Multiply both sides of the equation by 6. What is the new value of each side? 5 pennies = 1 nickel

Answer 4 – cents = 30 cents

Question 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 – cents = 60 cents

Question Find a rule. Write the rule as an equation. Input x Output y3456

Answer 5 – 10 Rule: Divide by 7 Equation: x ÷ 7 = y

Question 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 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 quarters Or m = 75 cents

Question Find a rule. Write the rule as an equation. Find the missing numbers. Input w______ Output z

Answer 5 – 40 Rule: Multiply by 12 Equation: w x 12 = z Missing numbers: 2,4

Question 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 dimes Or d = 70 cents, which is 7 dimes