Unit 1 Math

What order of operations should be followed when simplifying expressions?

Parentheses, exponents, multiply/divide (left to right) add/subtract (left to right)

54(8-5)-18/3²-3

24

2/3(15-6)÷12

1/2

4[6(2-3)-(4+1)]

-44

3x²+2y² x= 5 y= -3

93

How do you add or subtract fractions?

You must have a common denominator.

1. Find the least common denominator (LDC),

2. Rewrite the fractions with equivalent denominators and new numerators,

3. Add/subtract the numerators

How do you multiply fractions?

1. Multiply the numerators together

2. Multiply the denominators together

3. Reduce fraction to lowest term by dividing numerator and denominator by highest multiple

How do you divide fractions?

Keep Change Flip

1. Keep the first fraction the same

2. Change the ÷ to ×

3. Flip the second fraction (1/2 becomes 2/1)

2/5 ÷ 7/10

4/7

What’s the product rule of exponents?

When multiplying like bases, ADD the exponents

What is the quotient rule for exponents?

When dividing like bases, SUBTRACT the exponents

How do you calculate the mean of a list of numbers?

Add all the numbers together, divide by how many numbers there were

How to calculate weighted mean

1. Convert letter grade to numeric grades

2. Multiply numeric grade by credit hour

3. Add values

4. Divide by total credit hours

B (3). 5

C (2). 2

A(4). 3

C(2). 3

A(4). 4

3.12

8+2(14 - 9) ÷ 5

10

36(10 - 6) - 24/2³ + 4

10

3[8(5 - 3) - (9 + 2)]

15

¾(20 - 8) ÷ 9

1

5/12 + 1/4

2/3

7/8 - 5/6

1/24

−3/5 × 10/9

-2/3

4/9 ÷ 8/15

5/6

4x² − 3y. x = 3 and y = -2

42

2x³ + 5y². x = -2 and y = 4

64

(5x³)(4x⁷)

20x¹⁰

(-3a⁴b)(6a²b⁵)

-18a⁶b⁶

18x⁹y⁵/3x⁴y²

6x⁵y³

5/8

0.625

82, 90, 74, 96, 88

Find the mean

86

A (4) - 3 credit hours

B (3) - 4 credit hours

B (3) - 3 credit hours

C (2) - 2 credit hours

Calculate weighted GPA

3.17