Question 1

Insert the correct symbol ($$, or $$=$$) to make the following statement true: -6.3$$ \underline{\phantom{=}} -6.03$$

Accepted Answer

$$\u003c$$

Question 2

Which of the following is the correct solution for $$y in $$the equation $$5x - 2y = 4$$? Express your answer in the form $$y = mx + b.$$

Accepted Answer

Question 3

Solve for $$F in $$the equation $$C = \frac{5}{9}(F - 32). $$Which of the following is correct?

Accepted Answer

$$F = \frac{9}{5}C + 32$$

Question 4

Yong traveled to Florida for spring break at an average speed of $$61.7$$ miles per hour for $$5$$ hours. How far did he travel?

Accepted Answer

$$308.5$$ miles

Question 5

The selling prices of six homes are $$456,000$$, $$420,000$$, $$440,000$$, $$410,000$$, $$450,000$$, and $$430,000. $$What is the median price?

Accepted Answer

$$435,000$$

Question 6

Jeremy needs a mean of $$90 to $$get an A in his course. His first four exam scores are $$92$$, $$94$$, $$88$$, and $$98. $$What is the minimum score he must get on the fifth exam to earn an A?

Accepted Answer

Question 7

Mary invested money in a savings account paying $$3\%$$ simple interest per year. After $$3$$ years, she received $$450$$ dollars in interest. How much did she invest?

Accepted Answer

$$5,000$$

Question 8

A yield traffic sign is triangular with a base of $$36$$ inches and a height of $$31$$ inches. What is the area of the sign?

Accepted Answer

$$558$$ square inches

Question 9

Solve the inequality $$3x + 4 \geq 10. $$Which of the following is the solution in interval notation?

Accepted Answer

$$[2, \infty)$$

Question 10

Solve the inequality $$2(x + 3) \u003e 6x - 4x + 4. $$What is the solution in interval notation?

Accepted Answer

$$( -1, \infty )$$

Question 11

The number of packages of peppermint flavored candy sold was $$105$$ packages less than $$7$$ times the number of packages of orange flavored candy sold. If $$x$$ represents the number of orange flavored packages sold, which expression represents the number of peppermint packages sold?

Accepted Answer

$$7x - 105$$

Question 12

The sum of two integers is $$158. $$The larger is $$10$$ less than twice the smaller. What are the two integers?

Accepted Answer

$$56$$ and $$102$$

Question 13

William is comparing two snow plowing services. Elizabeth charges an annual fee of $$80$$ plus $$5$$ per plow. Jon charges $$50$$ plus $$10$$ per plow. For how many plows will the total cost be the same?

Accepted Answer

$$6$$ times

Question 14

A triangle has a perimeter of $$75$$ inches. One side is $$15$$ inches longer than the smallest side, and the third side is twice the smallest side. What are the lengths of the three sides?

Accepted Answer

Question 15

Alice runs at $$8$$ mph and Bonnie runs at a slower pace. After $$2$$ hours, they are $$4$$ miles apart. What is Bonnie's speed?

Accepted Answer

$$6$$ mph

Question 16

How many liters of $$20\%$$ salt solution must be added to $$60$$ liters of $$40\%$$ salt solution to obtain a $$35\%$$ salt solution?

Accepted Answer

$$60$$ liters

Question 17

Martha wishes to invest $$12,000 in $$two accounts: one at $$8\%$$ and one at $$7.25\%$$ simple interest. She wants to earn $$900 in $$interest in one year. How much should she invest at $$8\%$$?

Accepted Answer

$$8,000$$

Question 18

Solve the inequality $$x - 8 \leq -3x + 11. $$What is the solution in interval notation?

Accepted Answer

Question 19

Solve the inequality $$\frac{x}{2} \u003c \frac{2}{3}(x + 3). $$What is the solution in interval notation?

Accepted Answer

$$(-\infty, 6)$$

Unit 2 Review A – Beginning Algebra Study Guidance

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