Student Name
Class / Section
Grade / Year
Teacher
School
Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1.
Algebra uses variables to represent quantities that can change.
(1 pt)
2.
In the term 9k, 9 is the variable.
(1 pt)
3.
The perimeter of a square with side s is 3s.
(1 pt)
4.
The distributive property allows you to expand a(b + c) into ab + ac.
(1 pt)
5.
For all real numbers a and b, a + b = b + a.
(1 pt)
6.
Variables must always be lowercase letters.
(1 pt)
7.
Evaluating 4t − 1 at t = 0 gives 4.
(1 pt)
8.
An algebraic expression may include more than one variable.
(1 pt)
9.
In 6m + 2n, m and n are the literal coefficients.
(1 pt)
10.
Two consecutive even integers differ by 1.
(1 pt)
11.
In 12p, which identifies the variable and the numerical coefficient?
(2 pts)
A. Variable: 12; Coefficient: p
B. Variable: p; Coefficient: 12
C. Variable: 12p; Coefficient: 1
D. Variable: 12; Coefficient: 1
12.
Which statement shows the commutative property of multiplication?
(2 pts)
A. a + (b + c) = (a + b) + c
13.
If a = 5, what is the value of 3a + 4?
(2 pts)
14.
Which expression represents “twice a number decreased by seven”?
(2 pts)
15.
A rectangle has length 3x and width x + 2. Which expression equals its perimeter?
(2 pts)
16.
Which of the following is an algebraic expression?
(2 pts)
17.
Which property lets you rewrite 7(n + 3) as 7n + 21?
(2 pts)
A. Commutative property of addition
B. Associative property of multiplication
D. Identity property of 0
18.
For an equilateral triangle with side y, the perimeter is:
(2 pts)
19.
What is the constant term in 9 − 5q + 2?
(2 pts)
20.
If x = 1 and y = 4, what is 2x + 3y?
(2 pts)
21.
A symbol that can take different values is called a
.
(2 pts)
22.
A number that stays the same in an expression is a
.
(2 pts)
23.
In 14z, 14 is the numerical
.
(2 pts)
24.
The rule a × (b + c) = ab + ac is the
property.
(2 pts)
25.
The perimeter of a polygon is the sum of the lengths of all its
.
(2 pts)
26.
The perimeter of a square with side s is
.
(2 pts)
27.
When x = 3, the value of 2x + 1 is
.
(2 pts)
28.
Consecutive odd integers differ by
.
(2 pts)
29.
An expression built from variables, constants, and operations is an algebraic
.
(2 pts)
30.
In 5p + 3q, p and q are the
coefficients.
(2 pts)
31.
A herb garden is planted in rows. The first row has 6 plants, and each following row has 4 more plants than the previous row. The number of plants in row r is given by 6 + 4(r − 1). How many plants are in row 8? Show your working.
(5 pts)
32.
A rectangle has length 3x + 2 and width x − 1. If x = 4, find its perimeter. Use P = 2(l + w).
(5 pts)
33.
Mira has n stickers. Leo has 2n + 3 stickers. If n = 12, how many stickers does Leo have?
(5 pts)
34.
Evaluate 5(a + 2) − 3a when a = 4. Show each algebraic step.
(5 pts)
35.
Notebooks cost $2.25 each and pens cost $0.75 each. Write an expression for the total cost of 4 notebooks and 6 pens, then compute its value.
(5 pts)
36.
An equilateral triangle has side length 12.3 cm. Find its perimeter.
(5 pts)
37.
A square has side length y + 1 meters. If y = 6, find the perimeter of the square.
(5 pts)
38.
The sum of two consecutive odd integers is 36. Find the two integers.
(5 pts)
39.
A row of n adjacent squares is built from matchsticks. The total number of matchsticks is M = 3n + 1. How many matchsticks are needed for 9 squares?
(5 pts)
40.
A rectangle’s length is triple its width. If its perimeter is 64 units, find the rectangle’s width and length.
(5 pts)