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Borah 6th Grade Pre-Algebra Semester 1 Final Exam Review

Integer Operations

Question: 12 + -3
Answer: 9

Question: -14 - 12
Answer: -26

Question: 8 x -2 x 3
Answer: -48

Question: 10 - (3 + 7)
Answer: 0

Question: Substitute and Evaluate

x = -3 y = -2 z = -5

x + 2y - z

Answer: -2

Solving Equations

Question: m/3 + 16 = 20
Answer: m = 12

Question: 2/3y = 4
Answer: y = 6

Question: 26 + 8y − 2 = 0
Answer: y = -3

Question: 7 + w − 10 = 2w
Answer: w = -3

Question: 6(5g + 2) = 30g
Answer: No Solution

Fractions

Question: 2/3 times 1/3
Answer: 2/9

Question: 7/8 + 11/12
Answer: 21/24 + 22/24

43/24

1 and 19/24

Question: -3 and 1/4 - (-2 and 2/5)
Answer: -13/4 - (-12/5)

-13/4 + 12/5

-65/20 + 48/20

-17/20

Question: -13/16 divided by -7/24
Answer: K C R

-13/16 x 24/-7

312/112

2 and 88/112

2 and 11/14

Question: 1 and 3/8 divided by 2 and 5/11
Answer: 11/8 divided by 27/11

K C R

11/8 x 11/27

121/216

Writing Equations

Question:

Twenty minus the product of 4 and a number is4.

Answer: 2 - 4x = 4

Question:

The product of 9 and a number plus 17 is equal to−1.

Answer: 9x + 17 = -1

Question:

Twelve less than 2 times a number is equal to 15minus 7 times the number.

Answer: 2n - 12 = 15 - 7n

Question:

Ten plus 6 times a number is equal to 5 less thanthe number.

Answer: 10 + 6x = x - 5

Question:

The hourly wage for an employee is $11 per hourplus an additional $.80 for every unit producedduring the hour. The employee earned a total of$23 during the first hour. How many units wereproduced in that hour?

Answer: 11 + 0.80p = 23

Powers and Scientific Notation

Question: 3.0 × 10 to the 4th power
Answer: 30,000

Question:

Mass of a dust particle: 0.000000000753kilograms

Answer: 7.53 x 10 to the -10

Question: x to the 5 times x to the 3
Answer: x to the 8th

Question: x to the 5 divided by x to the 3
Answer: x to the 2nd

Question: Write using positive exponents

x to the 0 times y to the -3 divided by x to the -4

Answer: x to the 4th divided by y to the 3rd