Vocabulary
What is a variable in an algebraic expression?
A symbol, usually a letter, that represents an unknown number
(2,5) & (6,9)
1
5x − 4 > 2x + 3
x=7/3 or 2.33
2x+3=7
x=2
The cost of a movie ticket is $12 for adults and $8 for children. Let f(x) represent the total cost of tickets, where x is the number of tickets purchased.
What is the total cost of buying 3 adult tickets and 2 child tickets?
$52 is the total cost for 3 adults and 2 children
What is the x-intercept of a line?
The point where the line crosses the x-axis
A farmer wants to build a fence that stretches from the corner of his property at the point (3, 7) to the farthest corner at the point (8, 15). What is the slope of the fence line?
1 3/5 or 8/5
8x + 4 < 7x + 8
x<4
Sarah is organizing a fundraiser and plans to sell tickets for an event. The price of one adult ticket is $12, and the price of one child ticket is $8. She has already sold 50 adult tickets and 30 child tickets. If she needs to make at least $1,000 to cover event costs, how many more adult tickets does she need to sell?
14 more adult tickets
f(x)=2x−7, solve for x when f(x)=13
19
What is a coordinate pair?
Two values that represent the position of a point on the coordinate plane
(8,-4) (3,2)
-1 1/5 or -6/5
Sarah is planning a trip and wants to spend no more than $500. She has already spent $125 on transportation and plans to spend $60 per night on accommodation. If x represents the number of nights she stays, how many nights can she stay on her trip?
Write the inequality and solve for x.
6 nights
Max is shopping for groceries and buys a bag of rice for $5.50 and a loaf of bread for $2.25. He has a budget of $20. How many loaves of bread can Max buy without exceeding his budget if he buys 3 bags of rice?
2 loafs of bread total
The cost of apples is $1.50 per pound. Let c(x) represent the total cost of x pounds of apples. What is the total cost of buying 5 pounds of apples?
$7.50
What is the slope of a line?
The change between 2 points on the line
The equation of the first line is y=3x+2y and the equation of the second line is y=−2x+5y. Which line is steeper? What is the slope of each line?
first line- 3
second line -2
Max is shopping for clothes and has $80 to spend. A pair of shoes costs $40, and each t-shirt costs $10. If x represents the number of t-shirts Max buys, how many t-shirts can he buy without exceeding his $80 budget?
Write the inequality and solve for x.
x<4 or equal to
If an employee worked 40 hours last week and earned a total of $800, how much did he make an hour?
$20 an hour
The cost to park in a garage is $4 per hour. Let p(x) represent the total parking fee, where x is the number of hours parked. What is the total parking fee for parking for 6 hours?
$24 for 6 hour
What is the y-intercept?
The point where the line crosses the y axis
A new road is being built with a start point at (0, 5) and an endpoint at (10, 20). What is the slope of the road?
1 1/2
A concert venue has a maximum capacity of 1,200 people. The venue has already sold 650 tickets. If they continue selling tickets at a rate of 50 per day, how many more days can they sell tickets before reaching the maximum capacity?
Write the inequality and solve for the number of days.
d<11 or equal to
3x+7=22
x=5
f(x)=3x+5, solve for x when f(x)=20
65