Quarter One Review

Linear Equations

100

solve for y.

y+5=-3(x-6)

y=-3x+13

200

solve for y.

y-3=1/4(x+8)

y=1/4x+5

300

solve for y.

y+7=1/4(x-4)

y=1/4x-8

400

solve for y.

y+9=-7(x-4)

y=-7x+19

500

solve for y.

y+1=3(x+8)

y=3x+23

Multiplying Polynomials

100

(x+3)²

x²+6x+9

200

solve.

-3m(3m²+9)

-9m³-27m

300

solve.

-3x²(-3x²+5)

9x⁴-15x²

400

solve.

2v(3v²+v)

6v³+2v²

500

solve.

5(-z²+9)

-5z²+45

Subtracting polynomials

100

Subtract (3x²+2x) from (-4x²+5x-7)

-7x²+3x-7

200

solve.

(8a+8)-(4a+3)

4a+5

300

solve.

(-4a³+3a+9)-(a-2)

-4a³⁺2a+11

400

Subtract (-4a³+2a+5) from (a-2)

4a³-a-7

500

Solve 

(x³-2x²+3x-3)-(x²-2x-3)

x³-3x²+5x

Adding polynomials

100

solve.

(3g²+4g+6)+(7g²+g+8)

10g²+5g+14

200

Determine the following if A = 4x²+8x-5 and B = x²+3x-8 then what is the sum?

5x²+11x-13

300

solve.

(3b+5)+(2b+4)

(3b+5)+(2b+4)=5b+9

400

solve.

9a²+8a+9+3+3a²

12a²+8a+12

500

solve.

16a²+10a

16a²+10a

Word Problems

100

A class of 195 students went on a field trip. They took a total of 19 vehicles, some cars and some buses. If each car holds 5 students and each bus holds 25 students, how many buses were taken to the field trip?

5 buses

200

Michael was selling lemonade over the weekend. The function P(c) = .75c - 8.99 represented the profit, P(c), Michael earned while selling c cups of lemonade. Sales were strong, so he raised the price by 50 cents per cup. Create a function that represents his profit now.

P(c) = 1.25c - 8.99

300

Afra and Noor volunteered to buy dessert for the class. When Afra orders, she is going to order 3 trays of cupcakes and 2 orders of cookies for a total of $29.50. When Noor orders from the same bakery, she orders 2 trays of cupcakes and 3 orders of cookies for a total of $23. Find the price of a tray of cupcakes.

one tray of cupcakes costs $9.00

400

The football team is selling tickets for admission to homecoming and earn a total of $104. Adult tickets, x, cost $6 and student tickets, y, cost $4. They sell a total of 21 tickets. Write a system of equations that can be used to model this situation.

6x+4y=104

x+y=21

500

James was preparing for his football game this weekend. He went to the supermarket to buy 4 water bottles and 2 gatorades for a total of $8.50. If the water bottles were $1.25, how much does a bottle of gatorade cost?

gatorade costs $1.50