Expressions
Exponents
More About Expressions
Equivalent Expressions
100
#2 A plumber charges $10 for transportation and $55 per hour for repairs. Write an expression that can be used to find the cost in dollars for a repair that takes h hours.
10 + 55h
100
What does Hakuna Matata mean?
It means "no worries"
100
#5 Jasmine is buying beans. She bought r pounds of red beans that cost $3 per pound and b pounds of black beans that cost $2 per pound. The total amount of her purchase is given by the expression 3r + 2b. Select the terms of the expression. Mark all that apply.
A: 2
B: 2b
C: 3
D: 3r
B: 2b
D:3r
100
#14 Alisha buys 5 boxes of peanut butter granola bars and 5 boxes of cinnamon granola bars. Let p represent the number of peanut butter granola bars and c represent the number of cinnamon granola bars. Jaira and Emma each write an expression that represents the total number of granola bars Alisha bought. Are the expressions equivalent? Justify your answer.
Jaira 5p + 5c
Emma 5(p + c)
They are equivalent statements by the Distributive Property
200
3. Ellen is 2 years older than her brother Luke. Let k represent Luke’s age. Identify the expression that can be used to find Ellen’s age.
A k − 2
B k + 2
C 2k
D k/2
b: k + 2
200
#4 Write 43 using repeated multiplication. Then find the value of 43
4x4x4
64
200
Genie was stuck in the lamp for how many years before Aladdin found him?
10,000 years
200
# 16 Write the algebraic expression in the box that shows an equivalent expression.
3(k + 2) 3k + 2k 2 + 6k + 3
6k + 5 = 2 + 6k+ 3
5k = 3k + 2k
3K + 6 = 3(k+2)
300
Doc, Grumpy, Happy, Sleepy, Bashful, Sneezy, and Dopey.
300
#7 Liang is ordering new chairs and cushions for his dining room table. A new chair costs $88 and a new cushion costs $12. Shipping costs $34. The expression 88c + 12c + 34 gives the total cost for buying c sets of chairs and cushions. Simplify the expression by combining like terms.
100c + 34
300
# 17 Draw a line to match the property with the expression that shows the property.
Associative Property of Addition = 6 + (8 + b) = (6 + 8) + b
Commutative Property of Addition=14 + b = b + 14
Identity Property of Addition= 0 + 14 = 14
400
# 8 Mr. Ruiz writes the expression 5 × (2 + 1)2 ÷ 3 on the board. Chelsea says the first step is to evaluate 12 . Explain Chelsea’s mistake. Then, evaluate the expression.
She should have said the first step is to evaluate (2+1).
5 x (2+1)2 / 3
5 x 33 / 3
45/3
15
400
#19 An online sporting goods store charges $12 for a pair of athletic socks. Shipping is $2 per order.
Part A Write an expression that Hana can use to find the total cost in dollars for ordering n pairs of socks.
Part B Hana orders 3 pairs of athletic socks and her friend, Charlie, orders 2 pairs of athletic socks. What is the total cost, including shipping, for both orders? Show your work.
Part A: 12n + 2
Part B:
Hanna: 12 x 3 + 2=38
Charlie: 12 x 2 + 2 =26
Both orders: 64
400
How old is Crush in Finding Nemo?
150 years
500
# 11 Logan works at a florist. He earns $600 per week plus $5 for each floral arrangement he delivers. The expression 600 + 5f gives the amount in dollars that Logan earns for delivering f floral arrangements. How much will Logan earn if he delivers 45 floral arrangements in one week? Show your work.
600 + 5f
600 + 5x45
600 + 225
825
500
#20 Fernando simplifies the expression (6 + 2)2 – 4 × 3.
Part A Fernando shows his work on the board. Use numbers and words to explain his mistake. Then solve using the correct steps.
(6 + 2)2 – 4 × 3
(6 + 4) – 4 × 3
10 – 4 × 3
6 × 3
18
He should have added 6 and 2 then evaluated the exponent. He also subtracted before multiplying.
(6+2)2- 4 x 3
82 - 4x3
64-4x3
64-12
52