Grade 9 · Algebra 1

Grade 9 Algebra 1 questions and answers

The algebra, geometry, and SAT items US students search most. Written in American English for students, parents, and teachers in the United States.

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Open a card to see the answer. These are original practice items for US elementary students — not a state test copy.

1. To solve 2x + 6 = 14, first

Answer: subtract 6 from both sides

Undo addition before undoing multiplication.

2. 2x = 8 means x =

Answer: 4

Divide both sides by 2.

3. The graph of y = 2x − 1 is a

Answer: straight line

Linear equations graph as lines.

4. A solution to an equation in two variables is

Answer: an ordered pair (x, y) that makes it true

Plug in both values to check.

5. If a line has slope 3 and y-intercept −2, the equation is

Answer: y = 3x − 2

y = mx + b.

6. Solving 5 − x = 2 gives x =

Answer: 3

Subtract 5, then multiply by −1 — or add x and subtract 2.

7. An identity such as 2(x + 1) = 2x + 2 is true for

Answer: all real x

Both sides are the same expression.

8. 3x + 1 = 3x + 5 has

Answer: no solution

1 cannot equal 5.

9. A system of two linear equations can have

Answer: one, none, or infinitely many solutions

Lines can cross, be parallel, or be the same line.

10. Substitution means

Answer: solve one equation for a variable, then plug into the other

Useful when a variable is already isolated.

11. Elimination works well when

Answer: coefficients are opposites or easy to match

Add or subtract to cancel a variable.

12. If x + y = 5 and x − y = 1, then x =

Answer: 3

Add the equations: 2x = 6.

13. Parallel lines in a system mean

Answer: no solution

Same slope, different intercepts.

14. The same line twice means

Answer: infinitely many solutions

Every point on the line works.

15. Graphically, the solution is

Answer: the intersection point

Both equations are true there.

16. If 2x + y = 7 and y = 3, then x =

Answer: 2

2x + 3 = 7 → 2x = 4.