Equations
e - (-26) = 41
What is 15
3 + 8 / 2 - 5
What is 2
Three consecutive numbers have a sum of 75. What is the smallest number?
The smallest number is 24.
5 + k/-2 < 2
k < 6
Simplify
-3(8x +5)
What is -24x - 15
2X - 5 = 3
What is 4
If Austin scores a 78 and 85 on his first two tests, what does he need to score on his third test to average an 87 for all three?
Austin needs to score a 98.
k/3 + 6 < 7
k < 3
Write the following verbal expression as an algebraic expression.
3 times a number x less than 10
10 - 3x
5x + 1 = 3x - 3
What is -2
If the side lengths of a triangle are three consecutive odd numbers, and the perimeter is 51 cm, what is the length of the longest side?
The longest side is 19 cm.
9w - 4w + 6 ≥ 1 + 5w
6 is greater than or equal to 1 True, All real numbers
Graph the following inequality
− 5 ≥ q
q less than or equal to -5
Closed circle at -5 shaded to the left.
6(y - 5) = 18 - 2y
What is 6
The students in charge of the class booth at a carnival would like to earn $3 for every item they sell. They spent $55 for the materials to make the items. Write and Solve the inequality which represents how many items they need to sell to make a profit of at least $65.
Solve the inequality 3x - 55 ≥ 65
x ≥ 40
They need to sell at least 40 items.
7 + 9y < 19 - 3y
y < 1
Is x = 10 solution?
−3 > -x/5
No, -3 is not greater than -2
1/3(b - 9) = b + 9
What is -18
The area of the rectangle with length=(3x + 2) and width = 10 is at most 140 square centimeters.
Write and solve an inequality to find the possible values of x.
10(3x + 2) ≤ 140
x ≤ 4
10h - 3h + 6 ≥ 11 + 7h
6 is not greater than or equal to 11, False so no solution.
You must maintain a minimum balance of $50 in your checking account. You currently have a balance of $280.
a. Write and solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance.
280-20x less than or equal to 50
x less than or equal to 11.5 or
11, 20 dollar bills is the most you could withdraw to stay above 50 dollars.