Algebra 1

Question 1a

Use the rules of divisibility to tell if 35,100 is divisible by 3?

Question 1b

Use the rules of divisibility to tell if 35,100 is divisible by 5?

Question 2

Divide (round the answer to two decimal places):

\[\frac{932.54}{25}\]

Question 3a

Simplify mentally:

4,532 ÷ 100

Question 3b

Simplify mentally:

0.876 x 100

Question 4

Write \[\frac{3}{7}\] as a fraction with a denominator of 28.

Directions: Use the / for fractions. (ex. 2/3)
Example:

Question 5

Write \[\frac{540}{1500}\] as a product of prime factors and simplify.

Directions: Use the / for fractions. (ex. 2/3)
Example:

Question 6

Use words to write the number 6432.967.

Question 7

The average score of five students on a math test was 88.2. If the first student scored 85, the second student scored 90, and the third student scored 86, what was the score of the fourth student?

Question 8

What number is \[\frac{4}{9}\] of 810?

Question 9

Write \[\frac{89}{11}\] as a mixed number.

Directions: Use the / for fractions. (ex. 2/3)
Example:

Question 10

Find the least common multiple of 12, 18, and 30.

Question 11

Simplify:\[5\frac{2}{3}\times 2\frac{1}{4}\div3\frac{1}{2}\div2\frac{3}{8}\]

Directions: Use the / for fractions. (ex. 2/3)
Example:

Question 12

Convert 800 square inches to square feet using four unit multipliers.

Question 13

Ella hid candies in bunches of 15. In all, she hid 360 bunches. How many candies did she hide in all?

Question 14

Simplify: 1245.76 – 89.32

Question 15

What decimal part of 720 is 90?

Question 16

Michael’s bike ride covered the first 36 miles in 3 hours. He then increased the speed by 6 miles per hour. If the total distance of the trip was 90 miles, how long did it take to finish the trip?

Question 17

Solve: \[\frac{3}{8}\div\frac{5}{12} = \frac{x}{2}\]

Directions: Use the / for fractions. (ex. 2/3)
Example:

Question 18a

Complete the table. Begin by inserting the reference numbers.

Directions: Use the / for fractions. (ex. 2/3)
Example:

Question 18b

Complete the table. Begin by inserting the reference numbers.

Question 20

Round 0.0007862 to the nearest millionth and write the rounded number in scientific notation.

Question 21

Simplify: 382.7 x 0.0028

Question 22

The ratio of coffee drinkers to tea drinkers was 4 to 3. If 1800 were coffee drinkers, how many were there in all?

Question 23

What number is 200 percent of 120?

Question 24

During the thunderstorm, the number of birds in the park increased by 180 percent. If there were 1200 birds in the park before the storm, how many birds were there after the storm?

Question 25

Simplify: \[3(4 + 2) – 5(3 – 1) + 2(\frac{6}{3})\]

Question 26a

Find the volume of a rectangular solid whose length, width, and height measure 8 inches, 6 inches, and 4 inches, respectively.

Question 26b

Find the surface area of a rectangular solid whose length, width, and height measure 8 inches, 6 inches, and 4 inches, respectively.

Question 27

Use the method of cut and try to find \[\sqrt{7}\] to one decimal place.

Question 28

A number was multiplied by 6 and increased by 12. If the final result was 90, what was the number?

Question 29

Twice a number is 15 more than the sum of the number and 8. What is the number?

Question 30

If 3y + 5 = 14, what is the value of 2y – 3?

Question 31

Simplify by adding like terms:: \[7x^{2y} – 3xy + 2x^{2y} + 5xy\]

Question 32

Use the distributive property to multiply: \[4 (2a^{2b} – 3ab + 5b)\]

Question 33

Simplify: \[a^{3} b^{2} ba^{2} a^{2} a^{2}\]

Question 34

Write the Roman numeral for 38.

Question 35

If John invested $8000 in a mutual fund at 8 percent interest compounded annually, how much money would he have at the end of 3 years?

Question 36

Solve: 5x + 3 – 2x – 4 = 2x + 5

Question 37

A single die is rolled three times. What is the probability that the first roll will be a 4, the second roll will be a 1, and the third roll will be a 5?

Directions: Use the / for fractions. (ex. 2/3)
Example:

Question 38

Write 28 (base 10) using base 2 numerals.

Question 39a

Direction: Find the graph the shows the given coordinate plotted correctly.

(-5,3)

Question 39b

Direction: Find the graph the shows the given coordinate plotted correctly.

(3,4)

Question 40

-c – (p -c) if p = -5 and c = 2