Topic 2 Solving Algebraic Equations Flashcards
(20 cards)
True or False: The equation 4x^2 = 16 has one solution.
False
Multiple Choice: Which of the following equations is quadratic? A) y = 2x + 3 B) y = x^2 - 4 C) y = 3x D) y = 5
B) y = x^2 - 4
What method can be used to solve the equation x^2 + 5x + 6 = 0?
Factoring
What is the solution to the equation 3(x + 2) = 2x + 9?
x = 3
Fill in the blank: In the equation x/4 = 3, to solve for x, you multiply both sides by ____.
4
Fill in the blank: The equation 5x + 10 = 0 can be solved by first subtracting ____ from both sides.
10
What is the first step to solve the equation 2x/3 = 8?
Multiply both sides by 3.
True or False: The equation 6x - 9 = 3(x - 2) has infinitely many solutions.
False
How would you express the equation 7x - 2 = 5 in slope-intercept form?
y = 7x - 2
What is the solution set of the equation x^2 - 9 = 0?
x = 3 or x = -3
What is the result of solving the equation 2x + 7 = 3x - 1?
x = 8
What does it mean if an equation has no solution?
The equation is inconsistent.
What is the value of x in the equation 4x + 8 = 0?
x = -2
True or False: The equation x^2 - 4 = 0 has two real solutions.
True
Multiple Choice: What is the solution to the equation 2(x - 3) = 8? A) 2 B) 4 C) 8 D) 10
B) 4
What is the quadratic formula used to solve ax^2 + bx + c = 0?
x = (-b ± √(b² - 4ac)) / (2a)
Fill in the blank: To isolate x in the equation 3x - 5 = 10, you first add ____ to both sides.
5
True or False: The equation 3x + 2 = 2x + 5 is linear.
True
What is the solution to the equation 2x + 3 = 11?
x = 4
What is the first step to solve the equation 5(x - 1) = 15?
Distribute 5
