Slope-Intercept Form
What is the formula to slope-intercept form?
Solve: x+3>7
x>4
A taxi costs $5 plus $2 per mile. Write the equation for the cost y in terms of miles x.
y=2x+5
A recipe uses 2 cups of flour for every 3 cups of sugar. How much sugar is needed for 4 cups of flour?
6 cups
What is the percent change formula?
change/original = %/100
In the equation y=3x+2, what is the slope?
3
What is my first step in solving the inequality below:
5x+3≤10
subtract 3
You earn $15 per hour at your job. Write an equation that represents the total amount earned y after x hours.
y=15x
A car travels 60 miles in 2 hours. How far can it travel in 5 hours at the same speed?
150 miles
In a class of 40 students, 75% of them passed the final exam. How many students passed the exam?
30 students
Write the slope-intercept form of a line with slope −2 and y-intercept 5.
y=-2x+5
Write the equation:
2x plus 5 is less than or equal to 10.
2x+5≤10
A concert ticket costs $50, and parking costs $20. Write an equation to represent the total cost y if x tickets are purchased.
y=50x+20
The ratio of boys to girls in a classroom is 3:4. If there are 24 girls, how many boys are there?
18 boys
A shirt originally costs $20, and its price is reduced to $18. What is the percent decrease in the price of the shirt?
10%
Find the equation of the line that passes through (0,−4) and has a slope of 1.
y=x-4
Solve the inequality:
6x+6≤12
x≤1
A vendor sells apples for $3 per pound and charges an additional $5 packaging fee per order. Write the equation for the total cost y if a customer buys x pounds of apples.
y=3x+5
The scale on a map is 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, how far are they in real life?
175 miles
A student answered 75% of the questions correctly on a 120-question test. How many questions did the student answer correctly?
90 questions
The graph of a line passes through (0,0) and has a slope of 0.5. Write the equation of the line in slope-intercept form.
y=0.5x
Solve the inequality:
20≤-5x+10
x≤-2
A gym membership costs $30 per month plus a $50 enrollment fee. Write the equation and find the cost after 6 months.
y=30m+50
y=230
Every 3rd of December a water tank is being filled at a rate of 15 gallons every 4 minutes. How long will it take to fill a 90-gallon tank?
24 minutes
A car’s value decreased from $25,000 to $20,000 after 3 years. What is the percent decrease in the car’s value?
20%