➕ Algebra 1 · Equations
Solving One-Step Equations flashcards
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All 14 flashcards at a glance
Card 1
What is a solution of an equation?
A value of the variable that makes the equation true.
Card 2
What is an inverse operation? What undoes adding?
An operation that undoes another one. Subtracting undoes adding (and dividing undoes multiplying).
Card 3
Solve x + 14 = 31.
x = 17. Subtract 14 from both sides.
Card 4
Solve x − 5 = −2.
x = 3. Add 5 to both sides: −2 + 5 = 3.
Card 5
Solve 5x = 45.
x = 9. Divide both sides by 5.
Card 6
Solve x/3 = −8.
x = −24. Multiply both sides by 3.
Card 7
Solve −x = −4.
x = 4. The lone minus sign means −1, so multiply both sides by −1.
Card 8
Solve (5/2)x = 10.
x = 4. Multiply both sides by the reciprocal, 2/5: 10 × 2/5 = 4.
Card 9
Solve 17 = x + 9.
x = 8. The variable can be on the right: subtract 9 from both sides to get 8 = x.
Card 10
Solve x + 2 = −10.
x = −12. Subtract 2 from both sides: −10 − 2 = −12.
Card 11
Solve 0.5x = 7.
x = 14. Divide both sides by 0.5, or multiply by 2 (since 0.5 = 1/2).
Card 12
Why can’t you multiply both sides of an equation by 0?
Both sides become 0, so you get 0 = 0 whatever x is. You lose the information about the solution.
Card 13
How do you check a solution?
Substitute it for the variable in the original equation. If both sides match, it is correct.
Card 14
What is the reciprocal of 3/7?
7/3. A number times its reciprocal is 1.