PC review Q2

Simplifying Expressions

100

Simplify: -4(-3) + ½

12 ½

200

Simplify: 1/-2 * -3/4

3/8

300

Simplify: -0.5 + 1.5(-3) - 6.2

-11.2

400

Simplify: 7(5n + 4 + 7n – 10 + 3n) – 30

105n - 72

500

Simplify: 2(5a + 10) – 3(2a + 1) + 4(a + 5)

8a + 37

Equations

100

Solve: 11k + 9 = 42

k = 3

200

Solve: a/3+11 = -5

a = -48

300

Solve: 2 - 5(h + 3) = -28

h = 3

400

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

500

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

Inequalities

100

Solve: 2y + 7 > 11

y > 2

200

Solve: 6n - 3 < -9

n < -1

300

Solve: 11 - 4z < -1

z > 3

400

Solve: 14p - 5 > -3p + 114

p > 7

500

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

Factoring

100

Factor: y³ + 9y²

y²(y + 9)

200

Factor: 3x + x² - x

x(2 + x)

300

Factor: 5x²y³ + 15x³y²

5x²y²(y + 3x)

400

Factor: y² + 5y - 20

It is as factored as it can get! Or, you can take out a 1...1(y² + 5y - 20)

500

Factor: 12t⁵ - 20t⁴ + 8t² - 16

4(3t⁵ - 5t⁴ +2t² - 4)

Geometry

100

Find the area of a circle if the diameter is 52 in. Use 3.14 and round to the nearest tenth.

2122.6 in²

200

Find the circumference of a circle if the radius is 50 yd. Use 3.14 and round to the nearest tenth.

314 yd

300

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

400

What is the cross-section shape of the first shape on your packet (rectangular pyramid with a cross section perpendicular to the base)

Triangle

500

What is the cross-section shape of the last shape on your packet (triangular pyramid with a cross section parallel to the base)

Triangle