Question 1

Solve for $$y in $$the equation $$3(2y - 3) = 27.$$

Accepted Answer

$$y = 6$$

Question 2

A 240-inch pipe is cut into two pieces. One piece is three times the length of the other. What are the lengths of the two pieces?

Accepted Answer

60 inches and 180 inches

Question 3

Mariana averaged 84 on her first three history exams. The first score was 67. The second score was 7 less than the third score. What were her second and third exam scores?

Accepted Answer

Second: 77, Third: 84

Question 4

In New Orleans, taxis charge an initial fee of $$3.50 plus 2.00 $$per mile. How many miles can you travel for $39.50?

Accepted Answer

18 miles

Question 5

Solve the inequality $$4 + 3x \u003c 28.$$

Accepted Answer

$$x \u003c 8$$

Question 6

Simon claims that it costs him at least $$3.00 every time he calls an overseas customer. If his typical call costs 0.75 $$plus $0.45 for each minute, what is the minimum number of minutes his calls typically last?

Accepted Answer

At least 5 minutes

Question 7

Xavier is taking a geology course with four tests. To get at least a B, he must average at least 80. His first three scores are 82, 76, and 78. Which inequality represents the scores $$x he $$needs on the last test?

Accepted Answer

$$\frac{82 + 76 + 78 + x}{4} \geq 80$$

Question 8

What is the slope and $$y-$$intercept of the line $$y = -\frac{3}{8}x - 1$$?

Accepted Answer

Slope: $$-\frac{3}{8}$$, $$y-$$intercept: $$-1$$

Question 9

Find the slope of the line passing through the points $$(6,9)$$ and $$(4,5).$$

Accepted Answer

2

Question 10

Find the equation of the line with slope $$m = 5$$ passing through the point $$(4, 3).$$

Accepted Answer

$$y - 3 = 5(x - 4)$$

Question 11

Solve the system of equations: $$y = 5 - 4x$$ and $$2x - 3y = 13.$$

Accepted Answer

$$x = -2, y = 13$$

Question 12

Laura spent $$225.32 on$$ $$68 e-$$books and game applications. Each book cost $$3.99$$ and each game cost $$1.99. $$How many books did she buy?

Accepted Answer

43 books

Question 13

Darren paddled for 4 hours with a 6-km/h current to reach a campsite. The return trip against the current took 10 hours. What is the speed of Darren’s canoe in still water?

Accepted Answer

11 km/h

Question 14

Which of the following is the equation of the line passing through $$(1,4)$$ and $$(5,6)$$?

Accepted Answer

$$y - 4 = 0.5(x - 1)$$

Question 15

Solve the system: $$3x + 2y = 24$$ and $$2x + 3y = 26.$$

Accepted Answer

$$x = 4, y = 6$$

Question 16

Which of the following equations represents a horizontal line?

Accepted Answer

$$y = -1$$

Question 17

Which quadrant is the point $$(-5, 0)$$ located in?

Accepted Answer

On the $$x-$$axis

Question 18

Is the point $$(2,9) a $$solution to the equation $$y = 3x - 1$$?

Accepted Answer

Yes

Question 19

Solve the system: $$9x + 5y = 6$$ and $$2x - 5y = -17.$$

Accepted Answer

$$x = -1, y = 3$$

Question 20

Which inequality represents the solution to $$\frac{x}{3} - 2 \leq 1$$?

Accepted Answer

$$x \leq 9$$

Step-by-Step Guidance for Math 1020 Review (Beginning & Intermediate Algebra)

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