Word Problems
You and your friends attend the spring fling. The admission is 5$ and the cost per ride is 4 tickets. If your parents give 20$, what is your M?
M = 4
A seafood restaurant owner orders perch and salmon. Perch is $4/lb and salmon is to buy at least 50 pounds of fish but cannot spend more than $240.
What is the cost?
4x+3y is less than or equal to 240
A line has a slope of 3 and passes through the point (0, −2). What is the equation?
y= 3x−2
What is M in the point slope formula?
M = The slope of the line.
What is slope?
The constant rate of change
A taxi charges a $3 base fee plus $2 per mile. If a ride costs $17, how many miles were traveled?
7 miles
A gym offers basic memberships for $25 and premium memberships for $40.
They want to sell at least 50 memberships and earn at least $1600. What does your x equal?
x = 20
A line has a slope of 1/2 and a y-intercept of 6. What is the equation?
y=1/2x+6
What is the point slope formula?
y-y1=m(x-x1)
What is the slope-Intercept Form ?
y=mx+b
Maria is 4 years older than her brother. The sum of their ages is 24. How old are they?
Brother is 10 years old, Maria is 14 years old
At a school event, tickets are sold for adults and students. An adult ticket costs $10, a student ticket costs $5. In total, 50 tickets were sold, and the total money collected was $350.
How many adult tickets and student tickets were sold?
20 adult tickets were sold
30 student tickets were sold
A line passes through (−2, −3) and has a slope of 5. What is the equation?
y=5x+7
Write the equation of a line with slope -2 through the point (4, -1).
y+1 = −2(x − 4)
Slope = 2 , Intercept = -1. What is the equation?
y=2x-1
One person can complete a job in 6 hours, while another can complete the same job in 4 hours. If they work together, how long will it take to finish the job?
2.4 or 2 hours and 40 minutes
A theater sells three types of tickets. Child tickets cost $6, student tickets cost $10, and adult tickets cost $14. A total of 100 tickets were sold. The total revenue was $1,040. The number of student tickets sold was 10 more than twice the number of child tickets.
How many of each type of ticket were sold?
20 child tickets
50 student tickets
30 adult tickets
The sum of the x- and y-values of any point on a line is always 10.
Write the equation of the line in slope-intercept form.
y = -x + 10
A gym charges based on visits. After 3 visits, you’ve spent $15, and the cost increases by $5 per visit. Write the equation.
y − 15= 5 (x − 3)
What is a "system" of equations ?
Two or more equations
A chemist has a 20% acid solution and a 50% acid solution. She wants to make 30 liters of a 35% acid solution. How many liters of each solution should she mix?
15 liters of the 20% solution and 15 liters of the 50% solution
A farmer raises chickens and cows. Altogether, there are 60 animals. Together, the animals have 172 legs. The number of cows is 4 less than twice the number of chickens.
Build the equations.
Total animals: x+y=60
Total legs: 2x+4y=172x
A line is perpendicular to the line y = 2/3x - 5 and passes through the point (6, −1).
Find the equation in slope-intercept form.
y = -3/2x + 8
Find the equation of a line parallel to the line through (1, 4) and (5, 12), passing through (-2, 3).
y=2x+7
Suppose you buy flour and cornmeal in bulk to make flour tortillas and corn tortillas. Four costs $1.50 per pound and cornmeal cost $2.50 per pound. You want to spend less than $25 on four and cornmeal, but you need at least 6 pound altogether. What is the cost and the quantity ?
Cost : 1.50x +2.50y < 25
Quantity: x + y greater than/equal two 6