Solving for a Variable

This worksheet provides practice problems for solving linear and quadratic equations for a given variable, suitable for Grade 10 math students.

Grade 10 Math AlgebraSolving for a Variable

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2 Short AnswerMultiple ChoiceFill in the BlanksCustom

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3CCSS.MATH.CONTENT.HSA.REI.B.4

Topics

AlgebraSolving EquationsVariablesGrade 10 Math

7 sections · Free to use · Printable

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Solving for a Variable

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Read each question carefully and solve for the indicated variable. Show all your work.

1. Solve for x: 3x + 7 = 22

2. Solve for y: 5(y - 4) = 30

3. Solve for z: 2z - 1 = 4z + 9

4. Which of the following is the correct solution for 'a' in the equation 4a - 10 = 2a + 2?

a = 4

a = 6

a = -4

a = -6

5. To solve for a variable, we use inverse operations to the variable on one side of the equation.

6. When solving 2x + 5 = 15, the first step is to subtract 5 from both sides, which is an example of the property of equality.

7. Solve for x: x² - 9 = 0

8. Solve for x using the quadratic formula: x² + 5x + 6 = 0

9. The image below represents a balanced equation. If the circles on the left side represent 'x' and the squares represent '1', what is the value of 'x'?

Scales of Justice representing a balanced equation

Left side: two circles and three squares. Right side: one circle and five squares.