Expressions and Equations Mastery
A Grade 10 math worksheet focusing on simplifying expressions, solving linear and quadratic equations, and understanding inequalities.
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Standards
Topics
Expressions and Equations Mastery
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Date:
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Read each question carefully and follow the instructions. Show all your work for full credit.
1. Simplify the following expression:
$$ (3x^2 - 5x + 2) - (x^2 + 2x - 7) $$
2. Expand and simplify: $$-4(2y - 3) + 6(y + 1) $$
Complete the steps to solve for x:
3. $$ 5x - 8 = 2x + 7 $$
Subtract 2x from both sides:
Add 8 to both sides:
Divide by 3:
4. Solve for m: $$ \frac{m}{3} + 4 = 10 $$
Subtract 4 from both sides:
Multiply by 3:
5. Which of the following is a solution to the equation $$ x^2 - 5x + 6 = 0 $$?
x = 1
x = 2
x = 0
x = -1
6. Solve the equation $$ x^2 - 9 = 0 $$ for x.
x = 3 only
x = -3 only
x = ±3
No real solutions
Indicate whether each statement is True or False.
7. When multiplying or dividing both sides of an inequality by a negative number, the inequality sign must be reversed.
True
False
8. The solution to $$ x + 5 < 10 $$ is $$ x < 15 $$.
True
False
9. Solve the inequality $$ 3x - 7 \ge 8 $$ and graph the solution on the number line below.