Algebra Review!

Fractions

100

What are two fractions that simplify to 2/3?

answers may vary

200

Add: 1/2 + 3/5

11/10

300

Subtract: 4/6 - 1/3

1/3

400

Multiply: 6/7 x 8/10

24/35

500

Divide: 1/3 / 4/5

5/12

Simplifying Expressions

100

Explain the difference between simplifying an expression and solving an equation?

Simplifying: reducing it to the simplest form Solving: Finding a final answer 

200

Simplify completely. 3x – (2x – 5)

Answer: x+5

300

Simplify the expression (-5 + 5)/13

0

400

Find the difference between 4m³ – 3m + 1 and 2 – m² + m. Write your answer in standard form.

4m³ + m² – 4m – 1

500

Simplify the expression completely. x[4(x + 2) – (3x + 1)] +6

x² + 7x + 6

Linear Equations

100

Find the value of x: 4x-8=32

x=10

200

Find x and y for the system of equations through elimination: 3x+2y=9, 2x-4y=22

(5,-3)

300

Solve for m in two different ways: m/6+5=12

m=42

Start by multiplying both sides by 6 and you can also start by subtracting both sides by 5

400

Manipulate the variable to solve for m: 4m-8c=64

m=16+2c

500

Using the substitution method, solve for the variables in the system: y=3x-14, 2x+y=6

Step 1: 6-2x=3x-14, Step 2: 6=5x-14,Step 3: 20=5x, Step 4:x=4, Step 5: 8+y=6, Step 6: y=-2. 

solution:(4,-2)

Exponents

100

Simplify the expression x⁴*x³

x⁷

200

Simplify the expression (a²)³

a⁶

300

Simplify the expression 2y⁴/y

2y³

400

Simplify the expression ((9a²b)/(3ab^-2))²

3a²b⁶

500

 Find x: a⁶ * a^x = a⁴

x = -2

FSA

100

solve for y: |y| + 5 = 5

ANSWER y=0

200

Evaluate the expression given z=-4. 6-z+3

5

300

What is the name of the number that multiplies into another number to equal 1? EXAMPLE: 5/4 * ⅘ is an example

Reciprocal

400

Willie Wonka is an insane man, but he makes good chocolate. One day he was working to create some Screeching Chocolingles, and for every gallon of milk he puts into the Screeching Chocolingle vat, he needs four canisters of bat screeches, and six chocolate drips. How much of each other ingredient will Wonka need if he puts in 6 gallons of milk?

24 canisters and 36 drips

500

Tom is standing at -100 ft relative to the bus stop. Mandothy is standing at 50 ft. Who is standing most to the right? Who is the farthest away from the bus stop?

Mandothy is standing to the right. Tom is the farthest away.