Algebraic Expressions Quiz Grade 7
Questions: 16 · 10 minutes
1. In the expression 7x + 3, what is the coefficient of x?
7, the number multiplying x
x, the variable in the expression
3, the constant term
10, the sum of the two numbers shown
2. Which expression means “the quotient of x and 4, then decreased by 2”?
4 ÷ x - 2, which divides four by x first
x ÷ 4 - 2, which divides x by four first
x ÷ (4 - 2), which subtracts inside the divisor
4x - 2, which multiplies x by four first
3. A rectangle has length x + 2 units and width x units. Which expression represents its perimeter?
2x + 2
x² + 2x
4x + 2
4x + 4
4. A square has a side length of r + 3 units. Which expression represents its area?
4(r + 3)
2r + 6
r² + 9
(r + 3)²
5. Which pair contains like terms?
4a and -3a
4a and a²
4a and 4b
-3a and -3
6. A game awards 3x - 2 points for completing x levels. How many points are awarded for 5 levels?
9 points
13 points
17 points
11 points
7. Each notebook costs $2, and one folder costs $6. Which expression represents the total cost of n notebooks and the folder?
6n + 2
8n
2n + 6
2(n + 6)
8. At x = 4, how do the values of 2x + 5 and 3x + 1 compare?
The first expression is 1 greater.
The two expressions have the same value.
The second expression is 1 greater.
Their values cannot be compared without another variable.
9. A student expands 4(2k - 1) as 8k - 1. What correction should the student make?
Multiply only 2k by 4, then add 1.
Combine 2k and -1 before multiplying.
Multiply the variable by itself, giving 8k² - 1.
Multiply both terms by 4, giving 8k - 4.
10. A club charges a $3 booking fee plus $8 for each ticket. Which expression gives the total cost of t tickets?
3t + 8
11t
8(t + 3)
8t + 3
11. Which expression represents five more than a number n?
5n, meaning five times n
5 - n, meaning n is subtracted from five
n + 5, meaning five is added to n
n ÷ 5, meaning n is divided by five
12. Subtracting 3p + 2 from 9p gives which simplified expression?
6p + 2, because the constant is added
12p + 2, because both terms are added
6p - 2, because the entire expression is subtracted
12p - 2, because only the constant changes sign
13. Which expression is equivalent to 3(x + 4)?
3x + 4
3x + 12
7x
12x
14. Sam simplifies 4 + 2x as 6x. Which statement best explains the error?
The terms 4 and 2x are unlike terms, so they cannot be combined.
The coefficient 2 must be squared before adding.
The variable x should be replaced by 4.
Both terms must first be divided by 2.
15. For inputs n = 1, 2, and 3, a pattern produces outputs 5, 8, and 11. Which rule matches every input-output pair?
3n + 2, which increases the output by 3 each step
n + 4, which produces 5, 6, and 7
5n, which produces multiples of 5
3n - 2, which starts with an output of 1
16. After combining like terms in 6y + 2 - 4y, what remains?
10y + 2, from adding the variable coefficients
2y - 2, from subtracting both pairs of terms
2y + 2, with the constant unchanged
2y, with no constant term remaining