Algebra Basics
Solve for x: 2x + 6 = 14
x = 4
What is the y-intercept of y = -2x + 7?
7
What shape does the graph of a quadratic function make?
A parabola
How many degrees are in a triangle?
180°
What do you call a triangle with all three sides equal?
Equilateral
Simplify: 3(x + 4) − 2x
x + 12
Write the equation of a line with slope 3 passing through (0, -2).
y = 3x − 2
Solve by factoring: x² − 5x + 6 = 0
x = 2, x = 3
What is the formula for the area of a circle?
A = πr²
State the Pythagorean theorem.
a² + b² = c²
What is the slope of a line given by y = 5x − 3?
5
Are the lines y = 2x + 1 and y = 2x − 5 parallel, perpendicular, or neither?
Parallel
What is the vertex form of a quadratic equation?
y = a(x − h)² + k
What do you call two angles that add up to 90°?
Complementary angles
Find the hypotenuse of a right triangle with legs 3 and 4.
5
Solve the inequality: 3x − 7 > 8
x > 5
Find the slope between points (2, 3) and (6, 11)
2
Use the quadratic formula to solve x² + 2x − 8 = 0
x = 2, x = -4
Find the area of a triangle with base 10cm and height 6cm.
30cm2
What is the missing leg of a right triangle with hypotenuse 13 and one leg 5?
12
Factor completely: x² − 9
(x − 3)(x + 3)
Solve the system: y = x + 2 and y = 2x − 1
(3, 5)
What is the discriminant of 2x² + 4x + 5 = 0, and what does it tell you?
-24; no real solutions
What is the sum of interior angles in a hexagon?
720°
Two triangles have the same angle measures but different side lengths. What term describes their relationship?
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