Exercises
Put your intermediate algebra knowledge to the test with questions covering essential problem-solving skills. Solve linear equations, evaluate functions, work with ratios and variables, identify the slope of a line, and interpret inequalities. You will also simplify algebraic expressions, apply the distributive property, calculate absolute value, expand binomials, and use variables to find the area of a rectangle. This quiz is ideal for students who want to review core algebra concepts, check their understanding, or prepare for an algebra assessment.
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First, subtract 5 from both sides to get 3x = 15. Then, divide both sides by 3 to solve for x, resulting in x = 5.
Plug x = -1 into the equation y = 2x + 3: y = 2(-1) + 3 = -2 + 3 = 1.
Divide both sides of the equation by 5 to solve for x, resulting in x = 5.
Multiply both sides by 4 to isolate n, leading to n = 28.
The slope-intercept form of a line is y = mx + b where m is the slope. In y = -3x + 7, the slope m is -3.
The area of a rectangle is length times width. Here, it is 5w (length) times w (width), which results in 5w².
Add 4 to both sides of the inequality x - 4 < 10 to get x < 14.
Distribute the 2, resulting in 6x - 8, then combine like terms with 5x to get 11x - 8.
The absolute value of a number is its distance from zero on the number line. |−7| is 7.
Apply the FOIL method: x*x + x*(-3) + 2*x + 2*(-3) gives us x² - x - 6.
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