Question 1

Simplify the expression: $$-16 + 5 \div -8$$

Accepted Answer

$$-16.625$$

Question 2

Evaluate the expression $$x^2$$ + $$y^2$$ for $$x = 5$$ and $$y = -3.$$

Accepted Answer

$$34$$

Question 3

Round $$1.7877 to $$the nearest tenth.

Accepted Answer

$$1.8$$

Question 4

Write the fraction $$\frac{6}{11} as a $$decimal. Is it terminating or repeating?

Accepted Answer

$$0.545454\ldots$$, repeating

Question 5

Find the sum: $$-49 + (-20)$$

Accepted Answer

$$-69$$

Question 6

Find the sum: $$9 + (-10) + 15 + (-7)$$

Accepted Answer

$$7$$

Question 7

Jared borrowed $$200 from his friend Linda. He paid her back 29$, but then had to borrow another 90$. How much does he still owe her?

Accepted Answer

$$261$$

Question 8

Find the difference: $$-16 - 20$$

Accepted Answer

$$-36$$

Question 9

Find the difference: $$7 - (-23)$$

Accepted Answer

$$30$$

Question 10

A chemist mixes $$-12$$ grams of a substance with $$15$$ grams of another. What is the total mass?

Accepted Answer

$$3$$ grams

Question 11

A bank account has a balance of $$-45$$ dollars. If you deposit $$60$$ dollars, what is the new balance?

Accepted Answer

$$15$$ dollars

Question 12

Simplify: $$3 	imes (-4) + 8$$

Accepted Answer

$$-4$$

Question 13

If $$a = -7$$ and $$b = 2$$, evaluate $$a^2$$ - $$b^2.$$

Accepted Answer

$$45$$

Question 14

A temperature drops from $$12^{\circ}C to$$ $$-8^{\circ}C $$overnight. What is the change in temperature?

Accepted Answer

$$-20^{\circ}C$$

Question 15

Which of the following is a repeating decimal?

Accepted Answer

$$0.333\ldots$$

Question 16

Simplify: $$-3 - (-8) + 2$$

Accepted Answer

$$7$$

Question 17

A hiker descends $$120$$ meters and then climbs $$85$$ meters. What is the net change in elevation?

Accepted Answer

$$-35$$ meters

Question 18

Which of the following numbers is closest to $$1.7877$$ rounded to the nearest hundredth?

Accepted Answer

$$1.79$$

Question 19

If $$x = -2$$ and $$y = 4$$, what is $$2x + 3y$$?

Accepted Answer

$$8$$

Question 20

A submarine is at $$-350$$ meters below sea level. It rises $$120$$ meters. What is its new position?

Accepted Answer

$$-230$$ meters$

MTH 098 Chapter 1 Study Guide – Step-by-Step Algebra Guidance

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