Vocabulary
Evaluating
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Modeling Equations
Word Problems
100
This type of math problem has no equal sign.
Expression
100
Given y = -1, solve for x.
x + 31y = 5
36
100
Solve for x.
3x - 15 = 30
15
100
The temperature is 15 degrees and is expected to fall 2 degrees each hour during the night.
y = 15 - 2x
100
Noor measured 23 mm of rain on Friday, but forgot to empty the container. On Saturday, they noticed there was now 31 mm of rain. Write an equation to find the amount of rain that fell. Then find how much it rained on Saturday.
23 + n = 31
n = 8
200
This type of math problem has an equal sign.
Equation
200
Simplify, given x = 10
16 - x
6
200
Solve for x.
2x + 16 - 4x = 30
x = -7
200
John’s age is four less than twice Mary’s age. If Mary is 18, how old is John?
John is 32
200
Ms. Hill has a maximum $110 dollars to spend on a party for her class. She knows she wants to buy pizza which costs $15 per pie and she wants to buy 5 bottles of soda which cost $3.29 each. Write an inequality that could be used to determine how many pizza pies Ms. Hill will be able to purchase.
15x + 16.45 ≤ 110
300
A symbol that holds the place of a number
Variable
300
Can x = -7 be a solution to this equation? Explain why or why not.
149 = 100 + 7x
No, positive 7 would be the solution.
300
Solve for x
12x = 4(x+5)
x = 20/8 OR x = 2.5
300
A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?
c = 0.05d + 60
300
A prom ticket at HSES is $120. Daniel is going to save money for the ticket by walking his neighbor's dog for $15 per week. If Daniel already has saved $22, write an inequality that could be used to determine the minimum number of weeks Daniel must walk the dog to earn enough pay for the prom ticket.
15x + 22 ≥ 120
400
Comparing two values that are not necessarily equal to each other.
Inequality
400
Are these two equations equivalent?
1. 5(3 - x) = 35
2. 7 = 3 - x
Yes, the first one is just 5 times as big.
400
Solve for y
3x - y = 3
y = 3x - 3
400
The school that Yennely goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Write both equations.
3x + y = 38
3x + 2y = 52
400
Given this graph, and no other information. What does the point (3, 200) on the graph represent?
Lukas drove 3 hours, for a total distance of 200 miles
500
Which are the solutions to this equation? Choose ALL.
2x + 4y = 13
A. (0, 3.25)
B. (2.25, 2)
C. (5.5, 0.5)
D. (6.5, 0)
A, C and D
500
Solve for y
13x + 5y = - 40
y = -13/5x - 8
500
Billy has a bank that sorts coins as they are dropped into it. A panel in the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. If Billy only collects dimes and quarters, write a system of equations that could be used to model this situation.
x + y = 90
0.10x + 0.25y = 17.55
500
6pm