Question 1

Which of the following numbers is NOT a rational number?

Accepted Answer

$$\sqrt{2}$$

Question 2

Simplify the expression: $$7g - 3 - 7 - 7g$$

Accepted Answer

$$-10$$

Question 3

Divide: $$\dfrac{40}{-8}$$

Accepted Answer

$$-5$$

Question 4

Simplify: $$42 \div 7 \cdot 2$$

Accepted Answer

$$12$$

Question 5

Evaluate the expression when $$x = -3$$ and $$y = -2$$: $$\dfrac{x^2$ + y}{2y}$$

Accepted Answer

$$-\dfrac{7}{4}$$

Question 6

Which property is illustrated by the equation: $$(x + 3) + 4 = (3 + x) + 4$$?

Accepted Answer

Commutative property of addition

Question 7

What is the numerical coefficient of the term $$24x^2y$?

Accepted Answer

$$24$$

Question 8

Simplify: $$9 + 6 - 4 + 13 \div 3 - 2$$

Accepted Answer

$$15$$

Question 9

Which of the following pairs are like terms?

Accepted Answer

$$3x$$ and $$-7x$$

Question 10

Remove parentheses and simplify: $$x + 4 - 3 - 3$$

Accepted Answer

$$x - 2$$

Question 11

Is $$x = 4 a $$solution to the equation $$-5x - 4 = -24$$?

Accepted Answer

Yes, because substituting $$x = 4$$ results in a true statement.

Question 12

Which property is illustrated by $$0 + 7 = 7$$?

Accepted Answer

Identity element of addition

Question 13

Simplify: $$-5 - 4$$

Accepted Answer

$$-9$$

Question 14

Which of the following statements is true?

Accepted Answer

$$-3 \u003e -3.6$$

Question 15

Simplify: $$[3(6 + 6) - 9] - 7$$

Accepted Answer

$$54$$

Question 16

Evaluate: $$\dfrac{-5(-1) + (-2)4}{(-3)(6) + (-7)(-8)}$$

Accepted Answer

$$-\dfrac{3}{38}$$

Question 17

Simplify: $$4k - (2k - 6)$$

Accepted Answer

$$2k + 6$$

Question 18

Add: $$-4 + (-2)$$

Accepted Answer

$$-6$$

Question 19

Divide: $$\dfrac{0}{-6}$$

Accepted Answer

$$0$$

Question 20

A chemist mixes $$-2$$ grams of a substance with $$-6$$ grams of another. What is the total mass?

Accepted Answer

$$-8$$ grams

Step-by-Step Guidance for Beginning Algebra Test (Module 1: 1.2–1.8)

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