Act Math Basics Review

24 Questions | By KateGuerrero | Last updated: Mar 22, 2022 | Total Attempts: 164

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Act Math Basics Review - Quiz

A good overall review of basic ACT Math questions!

Questions and Answers

1.
Given the following sentence: What is the value of x when 2x + 3 = 3x – 4 ?
1. A.
2. B.
3. C.
4. D.
5. E.
Describe how you would solve this problem:
2.

How do you find the slope of a line?
3.

Read the question below, and (1) describe what basic shapes are included in this problem, and (2) which equations are needd to solve it: The geometric figure shown below consists of a square and 4 semicircles. The diameters of the semicircles are the sides of the square, and each diameter is 10 centimeters long. Which of the following is the closest approximation of the total area, in square centimeters, of this geometric figure?
4.

Describe how you would find the slope of the line parallel to another line:
5.

Given the following sentence: What is the slope of any line parallel to the line 9x + 4y = 7 ? Describe how you would solve this problem:
6.

Given the following sentence: What is the slope of any line perpendicular to the line 9x + 4y = 7 ? Describe how you would solve this problem:
7.

What four basic shapes are most often tested on the ACT Math section?
- A.
  
  Square, Trapezoid, Parallelogram, and Circle
- B.
  
  Square, Trapezoid, Triangle, and Circle
- C.
  
  Square, Parallelagram, Triangle, and Circle
- D.
  
  Square, Rectangle, Triangle, and Circle
8.

Which of the following is the equation for the Area of a Rectangle?
- A.
- B.
- C.
- D.
9.

Consider the following sentence problem: A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles? Which of the following are key words to help you set-up and solve this problem?
- A.
  
  Per
- B.
  
  Average...
- C.
  
  Miles..
- D.
  
  Gas costs...
10.

Consider the following sentence problem: A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles? What are you being asked to solve for?
- A.
  
  The total number of miles traveled
- B.
  
  The amount of gas used when driving 2,727 miles
- C.
  
  The amount of time it takes to travel 2,727 miles
- D.
  
  The cost of gas when driving 2,727 miles
11.

Which of the following general equations can be used to find the slope of a line?
- A.
  
  X + y = mb
- B.
  
  Y = mx + b
- C.
  
  2x + b = y +m
- D.
  
  B = my + x
12.

Given the equation: y = mx + b Which of the following represents the slope?
- A.
  
  Y
- B.
  
  M
- C.
  
  X
- D.
  
  B
13.

Given the equation: y = mx + b Which of the following represents the y - intercept?
- A.
  
  Y
- B.
  
  M
- C.
  
  X
- D.
  
  B
14.

Which of the following is the equation for the Area of a Triangle?
- A.
- B.
- C.
- D.
15.

Which of the following is the equation for the Area of a Circle?
- A.
- B.
- C.
- D.
16.

Which of the following is the equation for the Volume of a Rectangle (or a rectangular prism)?
- A.
- B.
- C.
- D.
17.

Which of the following is the equation for the Perimeter of a Rectangle?
- A.
- B.
- C.
- D.
18.

Which of the following is the equation for the Perimeter of a Circle? (Hint - the perimeter is the distance around the outside of an object...so this is another way of asking for the Circumference)
- A.
- B.
- C.
- D.
19.

What is the sum of the angles in a Triangle?
- A.
  
  90
- B.
  
  180
- C.
  
  270
- D.
  
  360
20.

What is the sum of the angles in a Quadrilateral?
- A.
  
  90
- B.
  
  180
- C.
  
  270
- D.
  
  360
21.

What is the degree measure of a Circle?
- A.
  
  90
- B.
  
  180
- C.
  
  270
- D.
  
  360
22.

Which of the following equations can be used to find the mid-point?
- A.
- B.
- C.
- D.
23.

Which of the following represents the standard equation of a circle?
- A.
- B.
- C.
- D.
24.

Which of the following equations would be used to solve the following problem? A circle has a circumference of feet. What is the radius of the circle in feet?
- A.
- B.
- C.
- D.