Equations
Inequalities
Slope and Graphs
Word Problems
Word Problems II
100
Solve for x.
-4x + 7 = 25
x = -4.5 OR x = -9/2
100
Solve for x.
2x - 17 > -43
x > -13
100
The Y=Intercept of the graph
What is Y-Intercept: -2?
100
A square has a perimeter of 48 cm. What is its area?
144 cm2
100
A map has a scale of 0.4 inches from every 5 miles. How many miles away are two cities that are 1.5 inches away on the map?
18.75 miles
200
Solve for x.
3x - 8 + 11x + 4 = 136
x = 10
200
Solve for x.
-8x + 17 + 20x < 65
x < 4
200
What is slope?
Rise/Run, Change in y/Change in x or y2-y1/x2-x1?
200
The cost of a taxi ride is given by C = 3.75 + 0.52M where C is the total cost of the taxi and M is the number of miles. How many miles can you ride if the total cost is $7.65?
7.5 miles
200
A smart watch is $380 but is on sale for 10% off. You have a coupon for an additional 5% off. What is the final price that you'll pay?
$324.90
300
Solve for x.
4(2x - 7) + 1 = 93x = 15
300
Solve for x.
25x - 3(10x + 1) > -149
x < 29.2
300
Find the slope of the graph
What is 4/3?
300
The function d(x) = 0.04x^2 + 1.56x gives the stopping distance in feet for a car traveling x mph. For a car that is traveling 65 mph, what is the stopping distance rounded to the nearest foot?
270 feet
300
The chance that a space shuttle company has a successful launch is 85%. What is the probability that all 7 of their launches this year are successful? Round to the nearest percent.
32%
400
Solve for x.
-6x + 4 = 5x - 117
x = 11
400
Reyna sells keychains online. Use the inequality 12x - 204 > 0 to find x, the number of keychains she must sell in a month to make a profit.
Answer Format: Reyna must sell __ than __ keychains.
Reyna must sell more than 17 keychains.
400
Slope-Intercept Equation of the graph
What is Y=-2/3+2?
400
The product of twice a number added to 3 and 7 less than five times the same number.
Write the expression.
(2x + 3)(5x - 7)
400
You are ordering pre-made meals online. Express Chef charges $15 per meal plus $12 shipping. Quick Prep uses the equation C = 18n + 8 to find the cost, C, of ordering n meals. What is the difference in cost between these companies if you order 7 meals?
$17
500
Solve for x.
5(x - 4) + 10 = 2x + 12
x = 22/3
500
Solve for x.
9x - 44 < 3(5x - 2) + 4
x > -7
500
Equation of the Graph
What is Y=3/2x-4
500
Akiko is a jeweler who sells her custom pieces from her online shop. Each necklace uses 18 inches and each bracelet uses 6.5 inches of silver chain. Last week she used a total of 946 inches of silver chain. If she made 41 necklaces, write an equation to determine the number of bracelets she made.
18(41) + 6.5b = 946
738 + 6.5b = 946
500
Mark has $1,260 to spend on fuel and bait for the week. He needs 200 gallons of fuel which currently sells for $4.25 per gallon. He wants herring bait which sells for $86.50 per case. Write an inequality to find h, the number of cases he can purchase.
200(4.25) + 86.5h <= 1260
850 + 86.5h <= 1260