Simplifying Expressions
Simplify: -4(-3) + ½
12 ½
Solve: 11k + 9 = 42
k = 3
Solve: 2y + 7 > 11
y > 2
Factor: y3 + 9y2
y2(y + 9)
Find the area of a circle if the diameter is 52 in. Use 3.14 and round to the nearest tenth.
2122.6 in2
Simplify: 1/-2 * -3/4
3/8
Solve: a/3+11 = -5
a = -48
Solve: 6n - 3 < -9
n < -1
Factor: 3x + x2 - x
x(2 + x)
Find the circumference of a circle if the radius is 50 yd. Use 3.14 and round to the nearest tenth.
314 yd
Simplify: -0.5 + 1.5(-3) - 6.2
-11.2
Solve: 2 - 5(h + 3) = -28
h = 3
Solve: 11 - 4z < -1
z > 3
Factor: 5x2y3 + 15x3y2
5x2y2(y + 3x)
At Dominos, you can buy many different sizes of pizza for different prices. Millie wants to buy 1 Extra large (16 inch diameter) pizza for $15.49. Marty wants to buy 2 medium (12 inch diameter) pizzas for $11.49 each. Which is the better deal? (find area)
Extra Large pizza
Simplify: 7(5n + 4 + 7n – 10 + 3n) – 30
105n - 72
You are buying a drum set that costs $495. The music store lets you make a down payment. You can pay the remaining cost in three equal monthly payments with no interest charged. You make a down payment of $150. How much is each monthly payment?Write an equation and solve.
3x + 150 = 495
x = $115
Solve: 14p - 5 > -3p + 114
p > 7
Factor: y2 + 5y - 20
It is as factored as it can get! Or, you can take out a 1...1(y2 + 5y - 20)
What is the cross-section shape of the first shape on your packet (rectangular pyramid with a cross section perpendicular to the base)
Triangle
Simplify: 2(5a + 10) – 3(2a + 1) + 4(a + 5)
8a + 37
To join a gym, your friend pays a one-time fee of $75 and $45 per month for the duration of the membership. Your friend has paid a total of $345. How long has your friend been a member of the gym? Write an equation and solve.
45x + 75 = 345
x = 6 months
You plan to go ice skating often this winter. The skating rink charges $4 for admission. You can either rent ice skates at the skating rink for $5 per day or buy your own pair for $45. How many times do you have to use the ice skates in order for the cost of buying them to be less than the total cost of renting them? Write and solve an inequality.
45 + 4x < 4x + 5x
x > 9 times
Factor: 12t5 - 20t4 + 8t2 - 16
4(3t5 - 5t4 +2t2 - 4)
What is the cross-section shape of the last shape on your packet (triangular pyramid with a cross section parallel to the base)
Triangle