Algebra 1 Camp Review (1) 2021

Adding Polynomials

100

How do you add polynomials?

Step 1: Combine like terms.

Step 2: Arrange in standard form.

200

What is the sum of (3x³+ x²+ 9) and (x³- 3x + 1)?

4x³+ x² - 3x +10

300

Find the sum.

(2k³ - 7k) + (-5k³- k²- 3k)

-3k³- k²- 10k

400

Simplify:

(-9k³- 3k²h + h⁴) + (k³- 7kh² + 4h⁴)

-8k³- 3k²h - 7kh² + 5h⁴

500

What is the perimeter of a rectangle with a height of (1/4g + 6) and width of (8 + 3/4g)?

The perimeter is 2g + 28 units.

Subtracting Polynomials

100

Subtract 7x⁴ from 2x⁴

-5x⁴

200

How do you subtract polynomials?

Step 1: Change terms behind - to opposites

Step 2: Combine like terms

Step 3: Arrange in standard form

300

Subtract (a³-2a²) from (4a³+3a²)

3a³ + 5a²

400

Find is the difference (4r³+ 3r⁴) - (-5r⁴+ r³).

8r⁴ + 3r³

500

Find the difference.

(8n - 3n⁴+ 10n²) - (3n²+ 11n⁴ - 7)

-14n⁴+ 7n² + 8n - 7

Combo

100

The degree of this polynomial: 

x³-7x²+4x-19x⁴

quartic (4th degree)

200

In the equation 14 - 3g = 32 , g = __?

g = -6

300

Simplify:

w²(w²+3)

w⁴ + 3w²

400

What is the product of 2r² and 7r³-3r+9 ?

14r⁵ - 3r³ + 18r²

500

Solve and graph the inequality a/2 + 1 < -9

a < -20

Solving Equations

100

Solve this equation for t.

17t - 7 - 9t = 25 + 32

t = 8

200

Find the value of x that satisfies this equation.

6(x - 4) =120

x = 24

300

Solve the equation for y.

13y - 16 = 18y + 19

y = -7

400

How many solutions are there for the following equation?

4x + 8 = 2(2x+4)

4x + 8 = 4x + 8 ; infinitely many solutions

500

What is the solution of the equation: -(5x - 4) = -28; a) -24/5           b) -4.8

c) 4.8            d) 24/5

c) 4.8  &  d) 24/5

Solving Inequalities

100

If a question says "Solve the inequality", "What is the solution set", or "Graph the solution of the inequality", YOU SHOULD AUTOMATICALLY THINK ___________.

Condense, Segregate, Isolate

200

What is the solution set for z in the inequality 

11 - 4z < -1 ?

z > 3

300

Graph the solution set for 3m - 8 > -30 + 5m.

m < 11

open circle on 11, arrow pointing <----

400

Graph the solution set for x/-7 -11 ≥ -3.

x ≤ -56

closed circle on -56, arrow pointing <----

500

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets.

• Write an inequality that represents Keith's situation.

500 - 25w is greater than or equal to 200