Evaluate.
82 + 19
83
Write an expression for this verbal description. Use "n" as your variable.
Eleven more than a number
11+n
Identify the Property
4x+3=3+4x
Commutative Property of Addition
Write the algebraic equation for this verbal description. Use "n" as your variable.
a number added to 17 to get 51
17+n=51
Write the inequality from this verbal description. Use "n" as your variable.
7 is less than a number
7<n
A car can travel 60 miles per hour. Is this a multiplicative or an additive relationship?
multiplicative
Solve.
12.95=y+3.19
y=9.76
Evaluate.
8⋅6+15÷5
51
Write an expression for this verbal description. Use "n" as your variable.
Ten more than the product of a and b
10+ab
Identify the property.
5(a+3b)=5a+15b
Distributive Property
Write the algebraic equation for this verbal description. Use "n" as your variable. Then solve it. Must do both!!
Sam is making 100 cookies. He can fit
20 cookies on each cookie sheet. How many cookie sheets will be need?
20n=100
n=5
Solve.
-2x-3>13
x<-8
Solve.
5(x−3)>15
x>6
Evaluate
3⋅36÷(30÷5⋅2)
Write an expression for this verbal description. Use "n" as your variable.
Eight more than twice a number
8+2n
Identify the property.
7(8⋅3)=(7⋅8)⋅3
Associative Property of Multiplication
Elroy is taking a train to downtown. The train has made 11 stops already and will make another 23 stops before it reaches its destination. How many total stops are there on the train route? Write and equation, solve it, and use "n" as your variable.
x-11=23
x=34
Write the inequality for the verbal description. Use "n" as your variable, solve for all possible solutions, and graph it.
Twenty-two more than four times a number is greater than 82.
22+4n>82
n>15, open circle on 15 shaded to the right
Write an algebraic equation that matches the graph. Use "h" for hours and "m" for miles.
m=60h
Harry got a job assembling birdhouses. There were 2 birdhouses already completed as examples for him. Each week, he assembled 2 more. Write an equation, then create a table to show the total number of birdhouses completed over 5 weeks.
Equation: y=2x+2
Evaluate.
54 − 6 ⋅ 32
0
Write an expression for this verbal description. Use "n" as your variable.
19 less than three times a number
3n-19
Factor the expression. 14-8m
(hint: what would it look like before the distributive property is used. No spaces in your answer)
2(7-4m)
Solve.
x/3.8=57.43
x=218.234
Solve for all possible solutions and graph it.
14x-12.5<-34.2
x<-1.55
open circle on -1.55, shaded to the left
Emma decided to start a snow globe collection. She started with 3, and every year she added one more.
Write an equation to determine the number of s snow globes she has after y years.
s=y+3
Sam makes $400 per week plus $20 commission on each new cell phone plan she sells. Write an equation and solve it to determine how many new plans she sold to earn $680 last week. Use "n" as your variable.
400+20n=680
n=14 cell phone plans
Evaluate.
60⋅2−[2⋅8+((8+5)+5)⋅3+(1+2)⋅3+5]
36
A repairman charges $40 for a house call and $50 per hour. Write an algebraic expression to represent the situation. Use "n" as your variable. How much would he make on a 17 hour call?
40+50n
$890
Factor the expression. 24+8y−16w
(hint: what would it look like before the distributive property is used.)
8(3+y−2w)
Rena swims every day. She burns approximately 10.6 calories per minute when swimming and about 15 total calories warming up before she swims. Write and solve an equation to find how many minutes Rena must swim to burn 205.8 calories. Use "n" as your variable
10.6n+15=205.8
n=18 minutes
Write and inequality, solve, and graph it. Use "n" for your variable.
George rented a bike for 4 hours. There was a $10 deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
4n+10 <= 65
n <= 13.75, closed circle on 13.75, shaded to the left
(no less than/equal sign on keyboard lol)
Emma decided to start a snow globe collection. She started with 3, and every year she added one more.
How many years will it take her to get 25 snow globes?
22
Which is the dependent variable? Describe the relationship shown in the graph? What is the equation?
Dependent: Brianna's age
Additive Relationship
Equation: y=x+3