Pre-Algebra Flashcards
Free pre-algebra flashcards for order of operations, integers, exponents, solving equations, ratios and proportions, percents and graphing. Flip each card, mark what you know and drill what you miss before algebra.
Keys: Space or Enter flips, arrow keys move, K marks known, R marks review. No sign-up and nothing is stored.
How to study with these pre-algebra flashcards
- Read the front of the card and say or write your answer before you flip it.
- Flip the card, then mark I know this only if you were right without hesitating.
- Mark Review again for anything you missed, then use Review missed only to drill those cards.
- Pick one topic at a time, then shuffle all topics for a mixed review.
All 56 cards at a glance
Every card is also listed below so you can scan, print or review without the viewer.
Order of operations and properties
| Question | Answer |
|---|---|
| What is the order of operations? | Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). PEMDAS. |
| Evaluate 3 + 4 × 2. | 11 (multiply first) |
| Evaluate (3 + 4) × 2. | 14 |
| Evaluate 18 ÷ 3 × 2. | 12 (go left to right) |
| Commutative property of addition? | a + b = b + a |
| Associative property of multiplication? | (a × b) × c = a × (b × c) |
| Distributive property? | a(b + c) = ab + ac |
| Identity property of addition and multiplication? | a + 0 = a and a × 1 = a |
| Inverse property of addition? | a + (−a) = 0 |
Integers
| Question | Answer |
|---|---|
| Adding two negatives? | Add the absolute values and keep the negative sign. −3 + (−5) = −8. |
| Adding a positive and a negative? | Subtract the smaller absolute value from the larger and keep the sign of the larger. |
| Subtracting an integer? | Add its opposite. 5 − (−3) = 5 + 3 = 8. |
| Negative × negative? | Positive |
| Negative × positive? | Negative |
| Negative ÷ negative? | Positive |
| Absolute value of −7? | 7 (distance from zero) |
| What is the opposite of −4? | 4 |
Exponents and roots
| Question | Answer |
|---|---|
| aⁿ means? | a multiplied by itself n times. |
| Any nonzero number to the power 0? | 1 |
| Product of powers: aᵐ × aⁿ? | aᵐ⁺ⁿ |
| Quotient of powers: aᵐ ÷ aⁿ? | aᵐ⁻ⁿ |
| Power of a power: (aᵐ)ⁿ? | aᵐⁿ |
| Negative exponent a⁻ⁿ? | 1 / aⁿ |
| 2⁵ = ? | 32 |
| √49 = ? | 7 |
| √144 = ? | 12 |
| ∛27 = ? | 3 |
| Scientific notation form? | a × 10ⁿ, where 1 ≤ a < 10. |
| Write 4,500 in scientific notation. | 4.5 × 10³ |
Equations and inequalities
| Question | Answer |
|---|---|
| What is the goal when solving an equation? | Isolate the variable using inverse operations on both sides. |
| Solve x + 7 = 12. | x = 5 |
| Solve 3x = 21. | x = 7 |
| Solve 2x − 5 = 9. | x = 7 |
| Solve x/4 = 6. | x = 24 |
| What is a like term? | Terms with the same variable raised to the same power, such as 3x and 5x. |
| Simplify 4x + 3x. | 7x |
| What changes when you multiply or divide an inequality by a negative? | The inequality sign flips. −2x < 6 gives x > −3. |
| Solve x + 3 > 8. | x > 5 |
Ratios, proportions and percent
| Question | Answer |
|---|---|
| What is a ratio? | A comparison of two quantities, written a : b or a/b. |
| What is a unit rate? | A rate with a denominator of 1, such as 60 miles per 1 hour. |
| How do you solve a proportion a/b = c/d? | Cross multiply: ad = bc. |
| Solve 3/5 = x/20. | x = 12 |
| How do you find a percent of a number? | Convert the percent to a decimal and multiply. 25% of 80 = 0.25 × 80 = 20. |
| Percent change formula? | (new − old) / old × 100% |
| Simple interest formula? | I = P × r × t |
| Sale price after 20% off $50? | $40 (50 × 0.80) |
Coordinate plane and basic geometry
| Question | Answer |
|---|---|
| Coordinates of the origin? | (0, 0) |
| Which quadrant has both coordinates negative? | Quadrant III |
| Slope formula? | m = (y₂ − y₁) / (x₂ − x₁) |
| Slope-intercept form? | y = mx + b (m is the slope, b is the y-intercept) |
| Area of a rectangle? | l × w |
| Area of a triangle? | ½ × b × h |
| Circumference of a circle? | 2πr |
| Area of a circle? | πr² |
| Pythagorean theorem? | a² + b² = c² |
| Mean of 4, 6, 8, 10? | 7 |
Frequently asked questions
What topics are covered in pre-algebra?
Pre-algebra usually covers integers, fractions and decimals, order of operations, exponents, one- and two-step equations, ratios and proportions, percents, basic geometry and graphing.
Why does PEMDAS say multiplication and division go left to right?
They have equal priority, so you work them in the order they appear, from left to right. The same is true for addition and subtraction.
Is pre-algebra the same as grade 8 math?
They overlap a lot. Many schools teach pre-algebra in grade 7 or 8 and Algebra 1 in grade 8 or 9, so check your own course outline.
Sources
More free math flashcards
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