8 th Grade Ciphering

Sample Evaluate 10.1 × 5.3

Sample Answer 53.53

1-1 Solve 0.4x = 2x + 1.2

1-1 Answer

1-2 Find the value.

1-2 Answer 0

1-3 Solve. Express answer as decimal.

1-3 Answer

1-4 Simplify the expression.

1-4 Answer

1-5

1-5 Answer

Extra 1 Solve. The quotient of a number and -3 is greater than the quotient of 5 and 6.

Extra Answer

2-1 The ratio of Mike’s age to his brother John’s age is 2:3. In ten years, the ratio will be 4:5. How old is Mike?

2-1 Answer 10

2-2

2-2 Answer

2-3

2-3 Answer 550%

2-4 If f(x) = 4x – 3 and g(x) = 8x + 2 find f [g(-8)]

2-4 Answer -251

2-5 Write an equation in slope-intercept form for the line that passes through the points (-1,2) and (5, -10).

2-5 Answer y = -2x

Extra 2 The area of a rectangle is 432 cm² and the length is 36 cm. What is the width?

Extra 2 Answer 12 cm

3 rd Cipherer

3-1 Solve the system of equations. x + 4y = 33 y = -3x

3-1 Answer (-3, 9)

3-2

3-2 Answer 19%

3-3 Find the LCM between 18xy² and 10y

3-3 Answer 90xy²

3-4

3-4 Answer

3-5 Find the area of a triangle with a base of 12 feet and a height of 4.4 feet.

3-5 Answer 26.4 ft²

Extra 3 Roberto wants to buy a new ski jacket that costs $96. If the total cost, including tax, is $101.28, what is the percent of sales tax?

Extra 3 Answer 5.5%

4 th Cipherer

4-1

4-1 Answer

4-2 Evaluate if a = 3, b = 5, and c = 4. 4(2a - c³)²

4-2 Answer 13, 456

4-3 Shane’s bowling scores in five games were 124, 135, 109, 116, and 141. If the mean of Shane’s scores after the sixth game is 130, what was his score for the sixth game?

4-3 Answer 155

4-4 What polynomial would you add to 3y² - 4y + 2 to have a sum of 2y² + 5?

4-4 Answer -y² + 4y + 3

4-5

4-5 Answer 7 miles per hour

Extra 4 Convert 20 miles per gallon to kilometers per liter

Extra 4 Answer 8.50 kilometers per liter