variable values Worksheets
This section provides comprehensive worksheets focused on variable values and algebraic fundamentals for grades 6-8. Students practice substitution, solve inequalities and graph them on number lines, identify coefficients, determine unknown values using four operations, and explore concepts like slope and powers to build essential pre-algebra skills.
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About these worksheets
These worksheets introduce students to the concept of variables and algebraic thinking. Activities include using substitution to evaluate expressions, writing and graphing inequalities on a number line, identifying numerical coefficients, solving for unknown values using all four operations, and exploring powers, bases, and slope. Aligned with sixth through eighth grade standards, these resources build the foundation for pre-algebra and algebra.
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Replace a variable with a given number and simplify the expression. Use substitution to find the value of an unknown in an equation. Check whether a number makes an equation true by substituting it in.
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Choose the correct inequality symbol (>, <, ≥, ≤) based on what the sentence says. Write an inequality from a short word problem using a variable to represent the unknown number.
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Read an inequality sign (>, <, ≥, ≤) and say what values it allows. Graph an inequality on a number line by choosing an open or closed circle and shading the correct direction.
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Decide whether an endpoint should be written with < or > versus ≤ or ≥ by noticing open and closed circles. Write the correct inequality (like x > 3 or x ≤ -2) to match the direction of the shading.
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Match an inequality to the correct number line graph. Use open and closed circles to decide whether the endpoint number is included. Use the shaded direction on a number line to tell if the solutions are greater than or less than a value.
Pick out the number that multiplies the variable in a term (like the 7 in 7x). Recognize when a coefficient is negative and include the sign (like -3 in -3y). Know that a variable by itself has a coefficient of 1 or -1 (like x or -x). Tell the coefficient apart from the variable and any exponent (like the 4 in 4m^2). Identify the coefficient even when it is written as a fraction or decimal (like 0.5 in 0.5t).
Solve simple equations to find the missing number or letter. Work with equations written in a horizontal format (like x + 7 = 15). Check that the value you found makes the equation true when you plug it back in.
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Identify the base and the exponent in an expression written with powers. Write the full multiplication that a power represents (like 5^3 means 5×5×5). Evaluate simple powers of integers to find the value.
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Find the slope of a line by comparing the rise and run shown with two triangles on a graph. Compare two slopes to tell which line is steeper and explain why using rise/run. Write slope as a ratio or fraction and simplify it when possible.
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Rewrite an equation in a different order or grouping without changing its value. Use the distributive property to expand or factor expressions to make an equivalent equation.
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Read measurement values from a chart and from a table. Compare two measurements and decide which is larger or smaller. Use the scale and units shown to interpret approximate measurements correctly.
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Practice finding a unit rate from a table and comparing it to a rate given as an equation Determine which of two companies offers a better deal (fewer pieces per box or higher cost per pound) Use an equation like y = 30x to calculate a total for a specific number of units Compare proportional relationships when the information is shown in different formats (tables vs. equations)
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