Equations & Inequalities
Solve and graph the following inequality
x - 6 > 17
x > 23
graph has a not-filled-in circle on the number 23 with an arrow facing right.
What is the area of a rectangle with a length of 18 inches and a width of 4 inches? (Careful with your units!)
72 inches squared
Simplify the following expression
3 + 6 ● 12 - 5
70
Mr. Miller is selling candy. If 5 pieces cost $35 total, how much would it cost to buy 8 pieces?
$56
Round 14.54637 to the nearest hundredth
14.55
5x + 6 - 2 = 24
x = 4
What is the area of a semicircle that has a radius of 7 inches? (Use 3.14 for pi)
76.93 inches squared
Simplify the following expression
12 + 18 ÷ 3 ● 4 + (-2)
34
You win Jeopardy so your group goes to Grand Stand for pizza to celebrate! If your group's total after tax is $35.20 and you want to tip 20%, how much would your new total be?
$42.24
What is the volume of a cube with side lengths of 8 inches
512 inches cubed
or
512 cubic inches
Solve the following equation
7(2x + 1) = 35
x = 2
A triangular prism has dimensions of 8in by 2in by 9in. What is its volume?
72 inches cubed
or
72 cubic inches
Simplify the following expression
12x - 8 + 4(6x + 3)
36x + 4
Three angles make up a right angle. One angle is 15°, one angle is 27°, and the third is 4x°.
What is the value of x?
x = 12
If a shirt costs $20 more than a hat, and the combined cost of both the shirt and the hat is $50, how much does the hat cost, and how much does the shirt cost? (careful with units)
Shirt is $35
Hat is $15
The coach of the field hockey team can spend at most $475 on new team uniforms. The coach will order the uniforms online for $29 each and pay a mailing cost of $6.50. How many uniforms can the coach order?
at most 16 uniforms
I have a rectangle and a triangle where both of their widths are 16cm and their heights are 3cm. What is the total area of both shapes?
48 + 24
72cm squared
Simplify the following expression
8x(2x - 5)
16x^2 - 40x
What is 17.5 percent of 400?
You would multiply 400 by 0.175
Answer is 70
Bob adds three numbers. Afterward, he multiplies the same numbers and gets the same result. What are these numbers?
1, 2, and 3 because...
1 + 2 + 3 = 6
1 ● 2 ● 3 = 6
The average age of five people is 60 years old. The ages of four of the people are 50, 55, 63, and 60 years old. What is the age of the fifth person?
72 years old
Mr. Miller has a rectangular garden. It is 10 feet wide and 24 feet long. He already has enough organic soil for 3/4 of the garden. What is the area of the garden that still needs organic soil?
Garden has an area of 240ft squared.
1/4 of 240 is 60.
60 square feet needs soil.
Simplify the following expression
12x + (-14) - (-3x) + 8(2x+ 2)
31x + 2
On a map of the US, Texas and Florida are 4.2 inches apart. The map says that 2 inches = 500 miles. How many miles apart are Texas and Florida in real life?
1050 miles
If a dozen eggs cost $0.12, how many can you buy for a dollar assuming you can buy one egg at a time?
Since each egg would cost 1 cent, you can buy 100 eggs. 100 eggs would be $1.00