8th Grade Algebra Chapter 0 Pretest

Questions and Answers

How much change should Addison receive after paying for gum and notebook paper?

2.68

About how far did Luis travel in all if he rode his bike to several destinations and back home?

7.6 miles

What is the result of 20 + (-7)?

What is the result of -15 + 6?

-9 Signup and view all the answers

What is the result of -9 - 22?

-31 Signup and view all the answers

What is the result of 18.4 - (-3.2)?

21.6 Signup and view all the answers

What is the result of 23.1 + (-9.81)?

13.29 Signup and view all the answers

What is the result of -5.6 + (-30.7)?

-36.3 Signup and view all the answers

What is the result of 11(-8)?

-88 Signup and view all the answers

What is the result of -15(-2)?

30 Signup and view all the answers

What is the result of 63 ÷ (-9)?

-7 Signup and view all the answers

What is the result of -22 ÷ 11?

-2 Signup and view all the answers

Is 7/20 less than 2/5?

True Signup and view all the answers

Is 0.15 greater than 1/8?

True Signup and view all the answers

Order -0.2, -1/7, 1/3, and 0.5 from least to greatest.

-0.2, -1/7, 1/3, 0.5 Signup and view all the answers

What is the result of 5/6 + 2/3?

1 1/2 Signup and view all the answers

What is the result of 11/12 - 3/4?

1/6 Signup and view all the answers

What is the result of 1/2 + 4/9?

17/18 Signup and view all the answers

What is the result of -3/5 + (-1/5)?

-4/5 Signup and view all the answers

What is the result of 2.4(-0.7)?

-1.68 Signup and view all the answers

What is the result of -40.5 ÷ (-8.1)?

5 Signup and view all the answers

What is the reciprocal of 4/11?

11/4 Signup and view all the answers

What is the reciprocal of -7/3?

-3/7 Signup and view all the answers

What is the result of 2/21 ÷ 1/3?

2/7 Signup and view all the answers

What is the result of 1/5 compared to 3/20?

3/100 Signup and view all the answers

What is the result of 6/25 ÷ (-3/5)?

-2/5 Signup and view all the answers

What is the result of 1/9 compared to 3/4?

1/12 Signup and view all the answers

What is the result of -2/21 ÷ (-2/15)?

5/7 Signup and view all the answers

What is the result of 2 1/2 compared to 2/15?

1/3 Signup and view all the answers

What is 20% as a fraction?

1/5 Signup and view all the answers

What is 7.5% as a fraction?

7 1/2 Signup and view all the answers

What percent is 18 of 72?

25% Signup and view all the answers

What percent is 35 of 200?

17.5% Signup and view all the answers

24 is what percent of what number?

14.4 Signup and view all the answers

What percent did James answer correctly on a 16-item quiz?

87.5% Signup and view all the answers

If Emily made 75% of baskets she attempted and made 9 baskets, how many attempts did she make?

12 attempts Signup and view all the answers

What is the perimeter and area of a square with 9 inches on each side?

Perimeter: 36 inches, Area: 81 inches² Signup and view all the answers

What is the perimeter and area of a right triangle with vertical 12cm, horizontal 16cm, and slant 20cm?

Perimeter: 58 centimeters, Area: 96 centimeters² Signup and view all the answers

What is the perimeter of a parallelogram with side lengths of 7 inches and 11 inches?

36 inches Signup and view all the answers

Find the perimeter of a garden shaped like a scalene triangle with base 10m, left slant 4.3m, and right slant 8.7m.

23 meters Signup and view all the answers

What is the circumference and area of a circle with a radius of 2m?

Circumference: 12.6 meters, Area: 12.6 meters² Signup and view all the answers

What is the circumference and area of a circle with a radius of 8m?

Circumference: 50.3 centimeters, Area: 201.1 centimeters² Signup and view all the answers

What is the diameter of a birdcage with a circumference of about 47.1 inches?

About 14 inches Signup and view all the answers

Find the volume and surface area of a rectangular prism with dimensions L = 3 cm, W = 1 cm, H = 3 cm.

Volume: 9 centimeters³, Surface Area: 24 centimeters² Signup and view all the answers

Find the volume and surface area of a rectangular prism with dimensions L = 6 ft, W = 2 ft, H = 5 ft.

Volume: 60 feet³, Surface Area: 104 feet² Signup and view all the answers

What is the probability of selecting a green pencil from a case with 3 red, 4 green, 2 black, and 6 blue pencils?

4/15 Signup and view all the answers

What is the probability of selecting a red or blue pencil from the same case?

5/15 Signup and view all the answers

Study Notes

Shopping Calculation

Addison's total expenditure was $1.29 (gum) + $0.89 (notebook paper) + $0.14 (tax) = $2.32.
Change received from a $5 bill was $5 - $2.32 = $2.68.

Distance Traveled

Total distance to friend's house, video store, and library: 1.2 miles + 0.7 miles + 1.9 miles = 2.8 miles.
Total round trip distance: 2 × 2.8 miles = 5.6 miles.

Simple Arithmetic

20 + (-7) = 13
-15 + 6 = -9
-9 - 22 = -31
18.4 - (-3.2) = 21.6
23.1 + (-9.81) = 13.29
-5.6 + (-30.7) = -36.3
11 × (-8) = -88
-15 × (-2) = 30
63 ÷ (-9) = -7
-22 ÷ 11 = -2

Inequalities

7/20 < 2/5
0.15 > 1/8

Ordered Values

Ordered values from least to greatest: -0.2, -1/7, 1/3, 0.5.

Fraction Addition and Subtraction

5/6 + 2/3 = 1 1/2.
11/12 - 3/4 = 1/6.
1/2 + 4/9 = 17/18.
-3/5 + (-1/5) = -4/5.

Multiplication of Decimals

2.4 × (-0.7) = -1.68.
-40.5 ÷ (-8.1) = 5.

Reciprocals

Reciprocal of 4/11 is 11/4.
Reciprocal of -7/3 is -3/7.
2/21 ÷ 1/3 = 2/7.
1/5 < 3/20 = 3/100.
6/25 ÷ (-3/5) = -2/5.

Percentages

20% = 1/5.
7.5% expressed as a fraction is 7 1/2.
18 is 25% of 72.
35 is 17.5% of 200.
24 is 60% of 14.4.

Quiz Score Calculation

James answered 14 out of 16 questions correctly, which is 87.5%.

Basketball Attempts

If Emily made 9 baskets with a success rate of 75%, she attempted 12 shots.

Area and Perimeter Calculations

Square with 9-inch sides: Perimeter = 36 inches; Area = 81 inches².
Right triangle with sides 12 cm, 16 cm, and 20 cm: Perimeter = 58 cm; Area = 96 cm².
Parallelogram side lengths of 7 and 11 inches: Perimeter = 36 inches.
Scalene triangle garden with base 10m, left 4.3m, right 8.7m: Perimeter = 23 meters.
Circle with radius 2m: Circumference = 12.6m; Area = 12.6m².
Circle with radius 8m: Circumference = 50.3cm; Area = 201.1cm².

Birdcage Diameter

Diameter from circumference of 47.1 inches is about 14 inches.

Volume and Surface Area

Rectangular prism L = 3 cm, W = 1 cm, H = 3 cm: Volume = 9 cm³; Surface Area = 48 cm².
Prism L = 6 ft, W = 2 ft, H = 5 ft: Volume = 60 ft³; Surface Area = 104 ft².
Prism L = 3, W = 2, H = 5: Volume = 30 cm³; Surface Area = 62 cm².

Probability Calculations

P(green) from 3 red, 4 green, 2 black, 6 blue pencils = 4/15.
P(red or blue) from the same case.

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Test your knowledge with these flashcards covering key concepts from 8th grade Algebra Chapter 0. The pretest includes problems related to shopping calculations and distance measurements. Check your understanding and prepare for more complex topics ahead!