Question 1

Solve for $$x in $$the equation $$x + 11 = -6. $$What is the value of $$x$$?

Accepted Answer

$$x = -17$$

Question 2

A chemist needs to dilute a solution. If $$\frac{1}{7}x = -8$$, what is the value of $$x$$?

Accepted Answer

$$x = -56$$

Question 3

A medical researcher records that $$5x = -25$$ for a certain measurement. What is $$x$$?

Accepted Answer

$$x = -5$$

Question 4

Solve for $$x in $$the equation $$4x - 7 = 29. $$What is the value of $$x$$?

Accepted Answer

$$x = 8$$

Question 5

A business has two competing models. If $$7x - 8 = 4x - 5$$, what is the value of $$x$$?

Accepted Answer

$$x = 1$$

Question 6

Solve for $$x in $$the equation $$6x - 8 - 3x + 5 = 7x - 12 + 9. $$What is the value of $$x$$?

Accepted Answer

$$x = 2$$

Question 7

A construction project uses the equation $$3(2x - 6) - 8 = 4(7 - x) - 3x to $$calculate material needs. What is the value of $$x$$?

Accepted Answer

$$x = 2$$

Question 8

Which of the following is the least common multiple (LCM) of 3 and 2?

Accepted Answer

$$6$$

Question 9

Solve for $$x in $$the equation $$\frac{1}{5}(x + 1) = \frac{1}{4}x - \frac{1}{5}. $$What is the value of $$x$$?

Accepted Answer

$$x = 2$$

Question 10

Translate the phrase 'Five less than four times a number' into an algebraic expression.

Accepted Answer

$$4x - 5$$

Question 11

The sum of half a number and nine is 15. Find the number.

Accepted Answer

$$x = 12$$

Question 12

Which symbol correctly completes the statement $$0 \,\underline{\phantom{a}}\, -1$$?

Accepted Answer

$$\u003e$$

Question 13

Which symbol correctly completes the statement $$-10 \,\underline{\phantom{a}}\, 44$$?

Accepted Answer

$$\u003c$$

Question 14

What is the least common multiple (LCM) of 5 and 4?

Accepted Answer

$$20$$

Question 15

When solving an inequality, why must you flip the inequality symbol when dividing by a negative number?

Accepted Answer

Because dividing by a negative reverses the order of the numbers.

Question 16

A student solves $$-4x \u003e 12. $$What is the correct solution for $$x$$?

Accepted Answer

$$x \u003c -3$$

Question 17

Which of the following best describes the process for solving $$7x - 8 = 4x - 5$$?

Accepted Answer

Subtract $$4x$$ from both sides, then add $$8 to $$both sides.

Question 18

If you are given the equation $$\frac{1}{5}(x + 1) = \frac{1}{4}x - \frac{1}{5}$$, what is the first step to solve for $$x$$?

Accepted Answer

Multiply both sides by $$20 to $$clear denominators.

Question 19

A real-world scenario: A recipe calls for half a cup of sugar plus 9 cups of flour to make 15 cups of mixture. How many cups of sugar are needed?

Accepted Answer

$$12$$

Question 20

Which of the following is a correct translation for 'the sum of half a number and nine'?

Accepted Answer

$$\frac{1}{2}x + 9$$

Chapter 2 Review – Beginning Algebra Guidance

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