Combination
Point A is labeled on a number line at - 5.
What is the absolute value of Point A?
5
What is 35% of 80?
28
A graph shows the relationship between the amount of time in minutes, x, and the total words typed, y.
Explain the meaning of the point (1 , 25).
For every minute, 25 words are typed.
Solve
– 4( x + 3 ) = 20
x = - 8
Rise , Run
Numerator, Denominator
The original figure has a side length of 4cm. The scale drawing has a corresponding length of 8cm.
What is the scale factor?
2
What is 55% of 120?
66
The cost of fabric is proportional to the number of yards purchased. If 6.5 yards cost $52, write an equation to represent the relationship between cost (y) and yards (x).
y = 8x
Solve the inequality and show all steps:
– 6x + 4 > 22
x < −3
What is the slope of a line that rises - 6 units and runs 4 units?
- 1.5
A rectangular model is 1.25 inches length by 4.5 inches width.
If the scale says 1 inch = 7.2 feet, what is the actual length and width, in feet, of the model?
9 feet by 32.4 feet
What is 23% of 160?
36.8
On a map, the scale is ¾ inch = 60 miles. On the map, a rectangular nature reserve measures 2½ inches by 1½ inches.
What is the actual area of the nature reserve in square miles? Show all work.
Length = 200 miles
Width = 120 miles
Actual Area = 200 x 120 = 24,000 miles2
Simplify completely:
0.6x - 14x + 2.5 - 1.5x - 4
- 14.9x - 1.5
What is the slope of a line that crosses the points:
( - 5 , 1 ) and ( - 5 , 10 )
What type of slope is this?
Undefined slope
The temperature at sunrise was −8.4°F. By noon, it had increased by 23.6°F. By midnight, it had decreased by 18.5°F from the noon temperature. How much should the temperature change to reach 0°F?
A. Increase 3°F
B. Decrease 3°F
C. Increase 3.3°F
D. Decrease 3.3°F
C. Increase by 3.3°F
A store is offering discounts on two types of shirts.
A 25% discount on short sleeve shirts with an original price of $44.00
A 30% discount on long sleeve shirts with an original price of $60.00
How much will a customer spend, without tax, if they purchase one of each type of shirt?
Short Sleeve Shirts: $33
Long Sleeve Shirts: $42
The customer will spend $75 before tax
A car travels 234 miles using 9 gallons of gasoline.
At this rate, how many miles can the car travel using 13 gallons of gasoline?
338 miles
A school store at Bronx Charter is selling notebooks. Notebooks cost $3 each. A student wants to spend a maximum of $20 in total and has already spent $8.
Write and solve an inequality to find the maximum number of notebooks the student can still buy.
Inequality: 8 + 3n ≤ 20
Solution: n ≤ 4
Find the slope of a line that passes through:
( −2 , −3 ) and ( 4 , 3 )
1
A ride-sharing company charges a $4 base fee plus $1.75 per mile.
A customer is charged a total of $21.50 for a trip.
At the same rate, another trip is 8 miles longer than the first trip.
1) Write and solve an equation to find the length of the first trip.
2) Then find the cost of the second trip.
Equation: 4 + 1.75x = 21.50
Solution: x = 10 miles
2) Cost of second trip: $35.50
A restaurant bill totals $88.60 before tax. The sales tax is 9%, and Blake wants to leave a 25% tip on the amount before tax.
What is the total amount Blake will pay, including tax and tip?
Sales Tax: $7.97
25% Tip: $22.15
Total Amount: $118.72
A bakery uses 5¼ cups of flour to make ⅘ batch of cookies.
What is the unit rate in cups of flour per batch?
6.5625 cups of flour per batch
A bakery charges a delivery fee plus a cost per cake.
The total cost for 4 cakes is $52.50. The delivery fee is $6.50, and each cake costs the same amount.
Write an equation and solve for the cost of one cake.
Equation: 6.50 + 4x = 52.50
Cost Per Cake: $11.50
A line passes through the following points:
( 0 , 7 ) , ( 2 , 11 ) , ( 4 , 15 ) , ( 6 , 19 )
Write the equation of this line in slope intercept form.
y = 2x + 7