Algebra Unit 1 Assessment

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Kenm21804

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1/18 Questions

Which of the following describes the pattern a x b = b x a?
- 5 x 4 = 20
- 20 = 5 x 4
- 5 x 4 = 4 x 5
- 5 x 4 = 10 x 2

About This Quiz

This quiz was designed for the Wicomico County ALC. The accompanying lesson begins at:
https://wicomicoadultlearning. Wikispaces. Com/Algebra+Expressions+and+fo rmulas

2.

Describe the pattern (0 x 5 = 0, 0 x 44 = 0) using one or two variables.
- A x b = 0
- A x 0 = b
- 0 x n = 0
- 0 x n = n
Correct Answer

A. 0 x n = 0

Explanation

The pattern in the given equations is that whenever one of the variables is 0, the result is always 0. This is because any number multiplied by 0 is always 0. Therefore, in the equation 0 x n = 0, no matter what value n takes, the result will always be 0.

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3.

Choose the set(s) of numbers to which the number 0 belongs.
- Natural numbers
- Whole numbers
- Integers
- Rational numbers
Correct Answer(s)

A. Whole numbers
A. Integers
A. Rational numbers

Explanation

The number 0 belongs to the set of whole numbers because it is a non-negative integer. It also belongs to the set of integers because it can be expressed as a fraction with a denominator of 1. Additionally, 0 is a rational number because it can be expressed as the ratio of two integers.

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1
4.

Choose the number set(s) to which the number (- 1/3 ) belongs.
- Natural numbers
- Whole numbers
- Integers
- Rational numbers
Correct Answer

A. Rational numbers

Explanation

The number (-1/3) is a rational number because it can be expressed as a fraction, where the numerator (-1) and the denominator (3) are both integers. Rational numbers include all integers and fractions, which can be written as a ratio of two integers.

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5.

Choose the two numbers that have the absolute value of 16.
- 16
- 8
- 2
- -16
Correct Answer(s)

A. 16
A. -16

Explanation

The two numbers that have the absolute value of 16 are 16 and -16. Absolute value is a mathematical function that returns the positive value of a number, regardless of its sign. In this case, both 16 and -16 have a positive absolute value of 16, making them the correct answer.

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1
6.

Choose the option in order of least to greatest using <
- -4 < 1 < 3
- -4 > 1 > 3
Correct Answer

A. -4 < 1 < 3

Explanation

The given answer correctly shows the order of the numbers from least to greatest. It states that -4 is less than 1, and 1 is less than 3. This is the correct order of the numbers based on the given information.

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7.

Arrange the numbers -3, -9, 0 in order from the greatest to least using >.
- -9 > -3 > 0
- 0 > -3 > -9
- -3 > -9 > 0
Correct Answer

A. 0 > -3 > -9

Explanation

The numbers are being arranged in descending order, from greatest to least. In this case, 0 is the greatest number since it is greater than both -3 and -9. -3 is greater than -9, so it comes next. Finally, -9 is the smallest number, so it comes last. Therefore, the correct arrangement is 0 > -3 > -9.

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8.

Follow the correct order of operations to simplify 25 ÷ (4 + 1) + 3
- 6
- 7
- 8
- 9
Correct Answer

A. 8

Explanation

To simplify the expression 25 ÷ (4 + 1) + 3, we need to follow the order of operations, which states that we should first evaluate any expressions inside parentheses. The expression inside the parentheses is 4 + 1, which equals 5. Therefore, the expression becomes 25 ÷ 5 + 3. Next, we perform the division, which is 25 ÷ 5 = 5. Finally, we add 3 to 5, resulting in 8. Therefore, the correct answer is 8.

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2
9.

Evaluate: 5 x 2 + 4
- 14
- 40
- 24
Correct Answer

A. 14

Explanation

The expression 5 x 2 + 4 can be evaluated by following the order of operations, which states that multiplication should be done before addition. Multiplying 5 and 2 gives us 10, and then adding 4 gives us a final result of 14.

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1
10.

3 + 6 x 2
- 18
- 15
- 36
Correct Answer

A. 15

Explanation

The given expression follows the order of operations, which states that multiplication should be performed before addition. Therefore, the multiplication of 6 and 2 should be done first, resulting in 12. Then, the addition of 3 and 12 should be done, resulting in a final answer of 15.

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1
11.

Evaluate 2y - 3x when x = 3, and y = 4
- -1
- 1
- 4
- -4
Correct Answer

A. -1

Explanation

To evaluate 2y - 3x when x = 3 and y = 4, we substitute the given values into the expression. So, 2(4) - 3(3) becomes 8 - 9, which equals -1. Therefore, the correct answer is -1.

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2
12.

In the expression (4a + 3b + 9c - 5d) ( 5x - 8y) how many terms are there?
- 4
- 2
- 6
- 12
Correct Answer

A. 6

Explanation

The given expression is a product of two binomials, (4a + 3b + 9c - 5d) and (5x - 8y). To find the number of terms in the product, we need to multiply the number of terms in each binomial. The first binomial has 4 terms (4a, 3b, 9c, -5d) and the second binomial has 2 terms (5x, -8y). Multiplying these two numbers gives us 6, which means there are 6 terms in the given expression.

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13.

In the expression (4a + 3b + 9c - 5d) ( 5x - 8y) how many factors are there?
- 4
- 2
- 6
- 12
Correct Answer

A. 2

Explanation

The expression (4a + 3b + 9c - 5d) (5x - 8y) represents the multiplication of two binomials. When multiplying two binomials, the result is a quadratic expression. In this case, the expression has two terms, which means there are two factors. Therefore, the correct answer is 2.

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14.

7 + (5 - 2)² - 2
- 14
- 16
- 9
- 12
Correct Answer

A. 14

Explanation

The given expression involves addition, subtraction, and exponentiation. To solve it, we start by calculating the value inside the parentheses, which is 5 - 2 = 3. Then, we square this value, obtaining 3² = 9. Next, we add 7 to 9, resulting in 7 + 9 = 16. Finally, we subtract 2 from 16, giving us 16 - 2 = 14. Therefore, the correct answer is 14.

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2
15.

Evaluate 4p - 2q, when p = 2 and q = 3
- 8
- 6
- 4
- 2
Correct Answer

A. 2

Explanation

The expression 4p - 2q is evaluated by substituting p = 2 and q = 3 into the expression. Thus, 4(2) - 2(3) = 8 - 6 = 2. Therefore, the correct answer is 2.

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2
16.

Resolve for x when (x - 10)/2 = 4
- X = 14
- X = 16
- X= 18
- X = 20
Correct Answer

A. X= 18

Explanation

In the given equation, (x - 10)/2 = 4, we need to solve for x. To isolate x, we can multiply both sides of the equation by 2 to get rid of the denominator. This gives us x - 10 = 8. Adding 10 to both sides, we have x = 18. Therefore, the correct answer is x = 18.

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1
17.

A delivery truck follows the same route every day. In 5 days the truck travels 260 miles. What is the dalily length of the delivery route?
- 48
- 50
- 52
- 54
Correct Answer

A. 52

Explanation

The daily length of the delivery route is 52 miles. This is calculated by dividing the total distance traveled in 5 days (260 miles) by the number of days (5). This gives us an average of 52 miles per day.

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1
18.

If 1/5 of the students at the University of Maryland are out-of-state transfers, and there are 23,000 students enrolled, how many are Maryland residents?
- 19,400
- 4,600
- 18.400
- 3,600
Correct Answer

A. 18.400

Explanation

Since 1/5 of the students are out-of-state transfers, this means that 4/5 of the students are Maryland residents. To find the number of Maryland residents, we can multiply 4/5 by the total number of students enrolled. Therefore, 4/5 * 23,000 = 18,400.

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May 29, 2024

Quiz Edited by
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Feb 06, 2010

Quiz Created by
Kenm21804

Algebra Unit 1 Assessment

Which of the following describes the pattern a x b = b x a?

Quiz Preview

Describe the pattern (0 x 5 = 0, 0 x 44 = 0) using one or two variables.

Choose the set(s) of numbers to which the number 0 belongs.

Choose the number set(s) to which the number (- 1/3 ) belongs.

Choose the two numbers that have the absolute value of 16.

Choose the option in order of least to greatest using <

Arrange the numbers -3, -9, 0 in order from the greatest to least using >.

Follow the correct order of operations to simplify 25 ÷ (4 + 1) + 3

Evaluate: 5 x 2 + 4

3 + 6 x 2

Evaluate 2y - 3x when x = 3, and y = 4

In the expression (4a + 3b + 9c - 5d) ( 5x - 8y) how many terms are there?

In the expression (4a + 3b + 9c - 5d) ( 5x - 8y) how many factors are there?

7 + (5 - 2)² - 2

Evaluate 4p - 2q, when p = 2 and q = 3

Resolve for x when (x - 10)/2 = 4

A delivery truck follows the same route every day. In 5 days the truck travels 260 miles. What is the dalily length of the delivery route?

If 1/5 of the students at the University of Maryland are out-of-state transfers, and there are 23,000 students enrolled, how many are Maryland residents?