# ACT Mathematics: Coordinate plane and Variable Equation

This is an MCQ-based quiz on the topic of ACT Mathematics: Coordinate plane and Variable Equation.

This set of MCQs helps you brush up on the important mathematics topic and prepare you to dive into skill practice and expand your knowledge to tackle the question and answer it carefully.

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Circle A is centered about the origin and has a radius of 5. What is the equation of the line that is tangent to Circle A at the point (–3,4)?

3x – 4y = –25

3x + 4y = –25

3x – 4y = 25

3x – 4y = 30

There is a circle on a coordinate plain. Its perimeter passes through the point (1,0). At this point meets a tangent line, which also passes through the point (5,7). What is the slope of the line perpindicular to this tangent line?

-7/4

7/6

4/7

-4/7

Jim got a job trimming trees. If he trims trees from noon to 6pm, with the exception of a 30 minute lunch break, Jim can trim 55 trees. How long does it take him to trim one tree?

6

5

7

8

Given the following equation:

y = –3x – 5

What is y when x = –2?

3

2

1

-1

A company makes toy boats.  Their monthly fixed costs are \$1500.  The variable costs are \$50 per boat.  They sell boats for \$75 a piece.  How many boats must be sold each month to break even?

50

60

70

80

If you multiply two integers together and then add 5, the result is 69. Which of the following could not be the sum of the two integers?

16

34

20

24

n/17 = 54/9

What is the value of n?

102

85

93

102

The length, in meters, of a rectangular fence is 4 more than twice its width. Which of the following gives the length (l)  in terms of width (w) of the rectangular fence?

I = 2w + 4

I = 2w + 8

I = 2w - 4

I = 2w - 8

Quiz/Test Summary
Title: ACT Mathematics: Coordinate plane and Variable Equation
Questions: 8
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