Pre calculus lesson 1 exercise 1 PDF

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Lesson 1: Exercises Pt 1 4 GROUP 1 PEMDAS Group • 4 questions 1 QUESTION 1.1

PEMDAS

Choose one • 1 point 12−6+5−2−7+3−9−10

−20 −14 Correct

20 −24

Shirzad Saeidi

First, I would add up all my like terms. For example, I would add up all the positive numbers, then the negatives, then simplify. 1 QUESTION 1.2

PEMDAS

Choose one • 1 point 9×12÷6+5

23 Correct

15 −15 32

Shirzad Saeidi

Multiply first, going from left to right, then divide 1 QUESTION 1.3

PEMDAS

Choose one • 1 point 8÷22−3×42

18 6 10

−46 Correct

Shirzad Saeidi

Do the exponents first 1 QUESTION 1.4

PEMDAS

Choose one • 1 point −32÷8×(−1−3)2+2

72 −106 −62 Correct

−34 4 GROUP 2 Distributive Property Group • 4 questions 1

QUESTION 2.1

Simplify

Choose one • 1 point (22+8−6+4)−(−13+7−12+9)

37 Correct

−12 28 −17

Shirzad Saeidi

Simplify in parenthesis first, then, when subtracting a negative number, make it positive 1 QUESTION 2.2

Simplify

Choose one • 1 point −2(x−2)+4(2−x)−8(x+3)

−12x+12

−9x+36 −6x−24 −14x−12 Correct

Shirzad Saeidi

Don't forget to distribute the minus sign and number through every term in the parenthesis 1 QUESTION 2.3

Simplify

Choose one • 1 point (5x3−7x2+3x−1)−(8x3−4x2−9x+6)

−3x3−3x2+12x−7 Correct

13x3−11x2+12x−5 −3x3−11x2−6x−7 −3x3−3x2−8x+5

Shirzad Saeidi

Don't forget to distribute the minus sign through every term in the 2nd parenthesis 1 QUESTION 2.4

Simplify

Choose one • 1 point 2x(−x+6)−3(x2+5x)−x(7+5x)

10x2−6x+15 x2+5x+10 −10x2−10x Correct

−10x2−8x+5 5 GROUP 3 Fractions Group • 6 questions 1 QUESTION 3.1

Simplify by Addition

Choose one • 1 point 52+113

556 176 376 Correct

165

Shirzad Saeidi

To add fractions, I use this formula, and then reduce the fraction, rather than look for a least common denominator ahead of time. AB+CD=AD+BCBD 1 QUESTION 3.2

Simplify by Subtraction

Choose one • 1 point 712−49

65108

536 Correct

1936 4136

Shirzad Saeidi

To subtract fractions, I use this formula, and then reduce the fraction, rather than look for a least common denominator ahead of time. AB−CD=AD−BCBD 1 QUESTION 3.3

Simplify by Multiplication

Choose one • 1 point −32⋅89

−43 Correct

−2716 −1118 976

Shirzad Saeidi

When multiplying fractions, we multiply the numerators and put the result in the numerator. We do the same for the denominators. 0 QUESTION 3.4

Simplify by Division

Choose one • 1 point 85÷910

169 Correct

4315 3625 Incorrect

1845

Shirzad Saeidi

To divide a fraction by a fraction, we flip the 2nd fraction and multiply 1 QUESTION 3.5

Simplify Completely

Choose one • 1 point 6+−83⋅25

7415 Correct

4915 −113 2315 1 QUESTION 3.6

Simplify Completely

Choose one • 1 point

109÷53−1

−13 Correct

23 53 13 6 GROUP 4 Exponential Notation Group • 6 questions 1 QUESTION 4.1

Simplify

Choose one • 1 point 33

27 Correct

9 6 12

Shirzad Saeidi

I would use a calculator for problems like this. Make sure you are entering proper syntax. 1 QUESTION 4.2

Simplify

Choose one • 1 point 4−1

−14 −4 14 Correct

−14 1 QUESTION 4.3

Simplify

Choose one • 1 point 80

0 8 1 Correct

undefined 1 QUESTION 4.4

Simplify

Choose one • 1 point (6x4y2)(−2x2y5)

−12x6y7 Correct

−12x8y10 −12x3y10 −12x2y7 1 QUESTION 4.5

Simplify

Choose one • 1 point 27a3b718a5b3

3b102a8 9b46a2 3b42a2 Correct

3a2b42

Shirzad Saeidi

When dividing like bases, subtract the smaller number from the larger one 1 QUESTION 4.6

Simplify

Choose one • 1 point (2t23s3)2

4t49s9 4t49s6 Correct

8t49s6 2t43s6

Shirzad Saeidi

Everything on the inside of the parenthesis gets squared here...