Exponents
Use exponents to rewrite the expression.
3 x 3 × 3 × 3 x 5 x 5
34 x 52
A mechanic 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 or you could do 10 + (55 . h)
Simplify the expression (6 + 2)2 − 4 × 3 using the order of operations
52
Write the algebraic expression in the box that shows an equivalent expression
3 (k+2)
3k + 2k
2 + 6k + 3
3 (k+2)=3k + 6
3k + 2k=5k
2 + 6k + 3=6k + 5
Jake writes this word expression. the product of 7 and m Write an algebraic expression for the word expression. Then, evaluate the expression for m = 4. Show your work.
7m
7x 4 = 28
Write 43 using repeated multiplication. Then find the value of 43 (remember there are two steps to this problem)
4 x 4 x 4
(Note: 4x4=16 and 16x4 = 64)
You need the expression and solving for the answer to "find the value" to get full points
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. What are the two terms?
3r and 2b
(6 + 2)2 – 4 × 3
18
Choose the word that makes the sentence true. Dara wrote the expression 7 × (d + 4) in her notebook. She used the (Distributive, Communitive, Associative, Identity)
She used the Distributive Property to write the equivalent expression 7d + 28.
Choose the number that makes the sentence true. The formula V = s 3 gives the volume V of a cube with side length s. The volume of a cube that has a side length of 8 inches
8x8x8=52 inches cubed
7 x 7 x 4 x 4 x 4 x 3 x 3
Evaluate the expression by using exponents and find the value
72 x 43 x 32
28,224
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
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.
15
Abe is 3 inches taller than Chen. Select the expressions that represent Abe’s height if Chen’s height is h inches. Mark all that apply.
1. h + 3
2. the sum of h and 3
3. h-3
4. the difference between h and 3
2. the sum of h and 3
0 + 14= 14
What property is this using?
Identity Property of Addition
What's the value of this expression?
(2 + 1)2
Since you solve parenthesis first you would add 2 + 1 then you would do 32 which is 3x3=9 so the value is 9
Sora has some bags that each contain 12 potatoes. She takes 3 potatoes from each bag. The expression 12p – 3p represents the number of potatoes p left in the bags. Simplify the expression by combining like terms.
12p - 3p
9p
Use properties of operations to determine whether 5(n + 1) + 2n and 7n + 1 are equivalent expressions.
5 (n+1) +2
You use the distributive property to show 5n+5.
5n + 2n + 5; Commutative Property of Addition
7n + 5; Combine like terms.
5n + 5 + 2n is equivalent to 7n + 5. Since 7n + 5 is not equivalent to 7n + 1, 5n + 5 + 2n is not equivalent to 7n + 1.
Alisha buys 5 boxes of peanut butter granola bars and 5 boxes of cinnamon granola bars. Let p represent the number of bars in a box of peanut butter granola bars and c represent the number of bars in a box 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 Emma 5p + 5c 5(p + c)
They are equivalent statements. 5p + 5c = 5(p + c) by the Distributive Property.
Part A: 14 + b = b + 14
What property is this using?
Part B: + (8 + b) = (6 + 8) + b
A. Commutative Property of Addition
B. Associative Property of Additon
What's the value of this expression?
(8+1)2+42
8+1 is 9 and 92=81 then I add 42 which is 16.
81+16=97
Answer: 97
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.
12n + 2
The cost of Hana’s order is 12 × 3 + 2 = 38, or $38. The cost of Charlie’s order is 12 × 2 + 2 = 26, or $26.
So, the total cost for both orders is $38 + $26 = $64.
Alisha buys 5 boxes of peanut butter granola bars and 5 boxes of cinnamon granola bars. Let p represent the number of bars in a box of peanut butter granola bars and c represent the number of bars in a box 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 Emma 5p + 5c 5(p + c)
They are equivalent statements. 5p + 5c = 5(p + c) by the Distributive Property.
A bike rental company charges $10 to rent a bike plus $2 for each hour the bike is rented. An expression for the total cost of renting a bike for h hours is 10 + 2h. Complete the table to find the total cost of renting a bike for h hours.
Number of Hours: 10+2h Total Cost
1
2
3
4
1. 10 + 2 x 1 = $12
2. 10 + 2 × 2 = $14
3. 10 + 2 × 3 = $16
4. 10 + 2 × 4 = $18
Logan works at a florist. He earns $600 per week plus $5 for each floral arrangement he delivers. Write an expression that gives the amount in dollars that Logan earns for delivering f floral arrangements. Use the expression to find the amount Logan will earn if he delivers 45 floral arrangements in one week. Show your work.
600 + 5f; Logan will earn $825.