Algebra 1 Review

Polynomials

100

Provide 3 types of polynomials and tell me what they are

Monomial: 1 term

Binomial : 2 terms

Trinomial : 3 terms

Polynomial : Multiple terms

200

x³- 12x² + 14x -14 + x² -9x + 21

x³ - 11x² + 5x + 7

300

(3x⁴ + 12x² - 100)- (-x⁴ + 13x³ - 11x² +300) 

4x⁴-13x³+23x²-400

400

4(x²-12x+4) - (3x²-24x-12)

x²-24x+28

500

(6n²-6n-5)(7n²+6n-5)

42n⁴-6n³-101n²+25

Equations

100

26 = 8 + v

18

200

-243 = -9(10+x)

x=17

300

5n + 34 = -2(1 - 7n)

n = 4

400

Solve the equation and state how many solutions it has:

24a - 22 = -4(1 - 6a)

No solution

500

Solve the equation and state how many solutions it has:

3 + 5n = 5(n+2) - 7

All solutions

Arithmetic Properties

100

Provide to me 3 types of properties

Associative

Commutative 

Distributive

200

The difference between an expression and an equation

Equation has an equal sign

300

State the property being used:

3(4x-12) = 12x-36

Distributive Property

400

State the property being used:

2a + (b + c) = (2a + b) + c

Associative Property

500

State what properties are used to get to the next step:

Step 1: (x+4) + 5(a+(2x)y)

Step 2: 5(a+(2x)y) + (x+4)

Step 3: 5(a+2(xy)) + (x+4)

Commutative Property

Associative Property

Words!

100

How old am I if 300 reduced by 2 times my age is 246?

300 - 2x = 246

x = 27 years old

200

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

9b + 4 = 472

b = 52 students

300

Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake lost 2 marbles and has only 7 marbles at present. Find how many marbles did Dalia buy in all.

x/5 - 2 = 7

x = 45 marbles

400

Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than what he read on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?

110 pages

500

Johnny is the oldest of 3 sons. The sum of Johnny and his 2 brothers ages are consecutive odd integers which adds to 57. How old is Johnny?

Brother 1: x

Brother 2: (x+2)

Johnny: (x+4)

x + (x+2) + (x+4) = 57

3x + 6 = 57

x = 17 years

Johnny: (x+4) = (17+4) = 21 years old