Let’s solve each question one by one, with clear explanations.
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1. `x + y = 50`
✔ Correct Answer: A — equation
Explanation:
An
equation is a mathematical statement that shows two expressions are equal, using an equals sign (`=`). Here, `x + y = 50` has an equals sign, so it’s an equation. An expression does *not* have an equals sign.
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2. `x + y`
✔ Correct Answer: B — expression
Explanation:
This is just a combination of variables and operations, with no equals sign. That makes it an
expression. It’s not an equation because there’s no equality being asserted.
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3. `y + 5x - 10`
✔ Correct Answer: B — terms
Explanation:
In algebra,
terms are the parts of an expression separated by plus or minus signs. In `y + 5x - 10`, the terms are:
- `y`
- `5x`
- `-10`
So the whole thing is made up of terms. The other options:
-
Variables: letters like x, y → but this includes numbers too.
-
Constant: just the number `-10`.
-
Coefficient: the number in front of a variable, like `5` in `5x`.
So “terms” is the best answer for describing the entire expression.
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4. `2x + y = 1`
✔ Correct Answer: C — coefficient
Explanation:
The question is asking about the
“2” in `2x`. In algebra, a
coefficient is the numerical factor multiplied by a variable. So in `2x`, `2` is the coefficient of `x`.
Other choices:
- Constant: would be `1` (the standalone number on the right)
- Variable: `x` or `y`
- Term: `2x`, `y`, or `1` — but the question is specifically pointing to the “2”, which is part of a term.
So
C — coefficient is correct.
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5. `2x + 3y + 5x = 75`
✔ Correct Answer: A — variables
Explanation:
The question is asking about the
letters `x` and `y` in the expression. These are called
variables — symbols that represent unknown values.
Other options:
- Coefficient: `2`, `3`, `5` — the numbers in front
- Terms: `2x`, `3y`, `5x`, `75`
- Constant: `75`
So since the question is highlighting `x` and `y`, the correct answer is
A — variables.
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6. How many terms in the following expression: `5x + 3y - 15 + x`
✔ Correct Answer: A — 4
Explanation:
Terms are separated by `+` or `-` signs. Let’s list them:
1. `5x`
2. `3y`
3. `-15`
4. `+x` (which is the same as `+1x`)
Even though `5x` and `x` are like terms (can be combined), they are still
separate terms before combining. So we count them as 4 distinct terms.
> Note: Sometimes students might think “combine first”, but the question asks “how many terms
in the expression” — meaning as written, not simplified.
So
A — 4 is correct.
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7. Is the following a expression? `5W`
✔ Correct Answer: A — yes
Explanation:
An
expression is any combination of numbers, variables, and operations (like +, -, ×, ÷) — without an equals sign. `5W` is a single term, but it’s still an expression. Even a single number or variable alone is considered an expression.
So yes, `5W` is an expression.
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✔ Final Answers:
1.
A
2.
B
3.
B
4.
C
5.
A
6.
A
7.
A
Let me know if you’d like help with the rest of the 20 questions!
Parent Tip: Review the logic above to help your child master the concept of 9th grade math algebra 1.