Algebra - True or False

False: since 3 is not equal to 2, this will never be true.

True or False: when solving an equation, if you end up with something like 3 = 2, the answer is "all numbers are a solution."

True: m is the slope, and b is the y-intercept, hence the name slope-intercept form.

True or False: y = mx + b is the slope-intercept form of a linear equation.

True

True or False: you can graph a linear equation by making a table of x and y values.

False

True or False: you need at least three points to graph a linear equation.

True: you only need two points to draw any line, so you only need two points to graph a linear equation.

True or False: you only need two points to graph a linear equation.

True: since 3 is always equal to 3, this will be true no matter what value is plugged in for the original variable.

True or False: when solving an equation, if you end up with something like 3 = 3, the answer is "all numbers are a solution."

False: the Distributive Property on 4x(x + 2) will yield a nonlinear term (x squared).

True or False: y = 4x(x + 2) + 1 is linear when graphed.

True

True or False: -4x + 3 = 2y is a linear equation.

True.

True or False: The points (0,1) and (1,3) are on the line y = 2x + 1

True.

True or False: The x and y-intercepts of y = 4x + 1 are (0 , 1) and (-0.25 , 0).

False.

True or False: The x and y-intercepts of y = 4x + 1 are (0,1) and (4,0).

True.

True or False: To graph a linear function, we can make a table of x and y values.

True.

True or False: To graph a linear function, we can rewrite the equation in slope-intercept form, plot the intercept, and use the slope to find another point.

True.

True or False: To graph a linear function, we can solve for the x and y-intercepts and plot those two points.

False.

True or False: To graph y = 3x + 4, we plot a point at (0,0) and (3,4).

False: the term xy will make it nonlinear.

True or False: 3xy + x = 2 is a linear equation.

True.

True or False: Ax + By = C is the standard form of a linear equation.

True

True or False: The slope of 3x + y = 7 is -3

False

True or False: it is easiest to graph a line when it is in Standard Form.

True: 4(x - 4) = 5x - 12 - x 4x - 16 = 4x - 12 -16 = -12 No solution.

True or False: the following equation: 4(x - 4) = 5x - 12 - x has no solution

False: 3(2x - 4) = 5x - 12 + x 6x - 12 = 6x - 12 -12 = -12 All numbers are a solution.

True or False: the following equation: 3(2x - 4) = 5x - 12 + x has no solution

False: -2 is a negative slope, so the line is "going down."

True or False: the line y = -2x + 3 is going up, if looked at from left to right.

False: we must first rewrite the equation in slope-intercept form by solving for y: 2y = 4x + 2 (divide by 2) y = 2x + 1 So the slope is 2.

True or False: the slope of the line 2y = 4x + 2 is 4.

False: the slope is 4 and the y-intercept is 2.

True or False: the slope of the line y = 4x + 2 is 2.

True: we must first rewrite the equation in slope-intercept form by solving for y: 2y = 4x + 2 (divide by 2) y = 2x + 1 So the y-intercept is 1.

True or False: the y-intercept of the line 2y = 4x + 2 is 1.

True: the slope is 4 and the y-intercept is 2.

True or False: the y-intercept of the line y = 4x + 2 is 2.