Algebra Concepts Quiz

10 Questions | By Karenhughes | Updated: Mar 18, 2022 | Attempts: 117

Questions

Settings

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

This quiz covers a wide range of algebra concepts.
To enter an exponent you must use the (^) key. So 2 squared would be 2^2, and x to the third power would be x^3.

Questions and Answers

1.

The perimeter of a triangle is 51 centimeters. The longest side is twice the length of the shortest side. The third side is three centimeters longer than the shortest side. How long is each side? Write an equation that represents the problem.Identify all equations that would work.
- A.
  
  3x = 51
- B.
  
  X + 2 + 3 = 51
- C.
  
  2x + 3 = 51
- D.
  
  4x + 3 = 51
- E.
  
  X + 2x + x + 3 = 51
Correct Answer(s)
D. 4x + 3 = 51
E. X + 2x + x + 3 = 51
2.

Solve for y: 2x + 3y - 9 = 0
- A.
  
  Y = 2x - 3
- B.
  
  Y = -2/3 x + 3
- C.
  
  Y = 3x - 9
- D.
  
  Y = 1/3 x - 2
- E.
  
  Y - 2x - 9
Correct Answer
B. Y = -2/3 x + 3
3.

Amy usually swims 20 laps in 30 minutes. How long will it take to swim 50 laps at the samerate?
- A.
  
  50 minutes
- B.
  
  60 minutes
- C.
  
  45 minutes
- D.
  
  75 minutes
- E.
  
  65 minutes
Correct Answer
D. 75 minutes
4.

Multiply (x + y)(x + 2)
- A.
  
  X^2 + xy + 2x
- B.
  
  X^2 + 2y
- C.
  
  2x + xy + 2y
- D.
  
  Xy + 2x
- E.
  
  X ^2+ xy + 2x + 2y
Correct Answer
E. X ^2+ xy + 2x + 2y
5.

12 ÷ 2^2 - 4 + 3(1 + 2)^3
- A.
  
  80
- B.
  
  13
- C.
  
  39
- D.
  
  242
- E.
  
  255
Correct Answer
A. 80
6.

Simplify.-4(3x - y + 2)
- A.
  
  -4x -4y - 8
- B.
  
  -12x + 4y - 8
- C.
  
  -12x - y + 2
- D.
  
  -12x -4y -8
- E.
  
  -12x _ 4y + 8
Correct Answer
B. -12x + 4y - 8
7.

Find the equation of the line that passes through the points (– 4, 8) and (5, –1).
- A.
  
  Y = x + 7
- B.
  
  Y = -7/9x + 4 7/9
- C.
  
  Y = -x + 4
- D.
  
  Y = -9x + 9
- E.
  
  Y = 4x -4
Correct Answer
C. Y = -x + 4
8.

Factor completely:100 p^2 + 10 p - 210
- A.
  
  (10p - 14)(10p + 15)
- B.
  
  5(5p - 7)(10p - 15)
- C.
  
  10(5p + 7)(2p - 3)
- D.
  
  10(5p - 7)(2p + 3)
- E.
  
  (5p - 7)(2p + 3
Correct Answer
D. 10(5p - 7)(2p + 3)
9.

Find the point of intersection for the system of equations.5x - 10y = 15x - 4y = 12
- A.
  
  (6,-3)
- B.
  
  (-6, -4.5)
- C.
  
  (2, 0.5)
- D.
  
  (2, 1.5)
- E.
  
  (6, 0.5)
Correct Answer
B. (-6, -4.5)
10.

Solve for x: 3(x + 5) - 2(x - 1) = 4 x = _______

Correct Answer
-13

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Mar 18, 2022

Quiz Edited by
ProProfs Editorial Team
Apr 01, 2010

Quiz Created by
Karenhughes

Algebra Concepts Quiz

The perimeter of a triangle is 51 centimeters. The longest side is twice the length of the shortest side. The third side is three centimeters longer than the shortest side. How long is each side? Write an equation that represents the problem.Identify all equations that would work.

Solve for y: 2x + 3y - 9 = 0

Amy usually swims 20 laps in 30 minutes. How long will it take to swim 50 laps at the samerate?

Multiply (x + y)(x + 2)

12 ÷ 2^2 - 4 + 3(1 + 2)^3

Simplify.-4(3x - y + 2)

Find the equation of the line that passes through the points (– 4, 8) and (5, –1).

Factor completely:100 p^2 + 10 p - 210

Find the point of intersection for the system of equations.5x - 10y = 15x - 4y = 12

Solve for x: 3(x + 5) - 2(x - 1) = 4 x = _______