Algebra 1 Review

Front

What does the inequality y ≤ -4x represent graphically?

Back

The graph of y ≤ -4x is a shaded region below the line y = -4x, including the line itself.

Tags

CCSS.HSA.REI.D.12

Front

What is the y-intercept of the line y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by the constant b in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the zeros of a quadratic equation?

Back

To find the zeros, set the equation to zero and solve for x, often by factoring, completing the square, or using the quadratic formula.

Tags

CCSS.HSA-REI.B.4B

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) that the function can produce.

Front

How do you solve the equation 4(2x-5)=7(2x+4)?

Back

Distribute and simplify: 8x - 20 = 14x + 28. Then, isolate x to find x = -8.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine if a point is a solution to an equation?

Back

Substitute the x and y values of the point into the equation. If the equation holds true, the point is a solution.