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Algebra R&B Functions Worksheet
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Algebra R&B Functions Worksheet
Identify parts of linear expressions, solve equations and inequalities, and interpret linear functions. Show your work where space is provided.
Find the Parts of the Expression
Look closely at variables, coefficients, and constants.
1.In 4m − 11 = 9, name the variable, the coefficient of the variable, and the constant term on the left side.
2.Which number is the coefficient of n in 7n + 3 = 24?
- 3
- 7
- 24
- n
3.Which symbol is the variable in the function g(t) = 6t − 5?
- g
- t
- 6
- −5
4.Create a linear expression with a coefficient of −3, variable p, and constant term 8. Label each part.
Solve and Interpret the Rhythm
Solve each problem. Keep inequality signs and graph endpoints in mind.
5.Solve 5x − 4 = 21.
6.Solve the inequality 2x + 5 < 17.
7.A linear function has slope −2 and y-intercept 6. Which equation represents it?
- y = −2x + 6
- y = 6x − 2
- y = 2x − 6
- y = −6x + 2
8.Solve −3x + 9 ≥ 0, then show the solution set on the number line.
Make Meaning with Functions
Connect a linear rule to a situation and explain how its rate of change affects the graph.
9.Write a realistic situation described by C = 18w + 40. Explain what C and w could represent, and what 18 and 40 mean in that situation.
10.In your own words, explain how the coefficient of x in y = ax + b affects the steepness and direction of the line.
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