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Mathematics · Self Assessment

Practice Test: Algebra & Algebraic Equations

A 100-mark paper covering "Algebra: Basic, Intermediate & Advanced" and "Algebraic Equations" — multiple choice, true/false, fill-in-the-blank, column matching, and short answer, all auto-graded instantly.

EDUSAMBAM Editorial Team · 45 questions · 100 marks · Instant self-assessment

Questions

100

Marks

Sections

100%

Auto-Graded

Section	Questions	Marks Each	Total
A — Multiple Choice	15	2	30
B — True / False	10	2	20
C — Fill in the Blank	10	2	20
D — Column Matching	5 pairs	2	10
E — Short Answer	5	4	20
Total	45	—	100

Fill-in-the-blank and short-answer questions are checked automatically against accepted answers — exact wording doesn't need to match, but the key term should be present.

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Section A — Multiple Choice

30 marks

15 questions · 2 marks each.

1.In algebra, a symbol that stands for an unknown or changing value is called a:Basic2 pts

A. Constant

B. Variable

C. Coefficient

D. Operator

2.In the expression 5x + 3, what is the coefficient of x?Basic2 pts

A. 3

B. 5

C. x

D. 8

3.In the expression 7y, the number 7 is called the:Basic2 pts

A. Variable

B. Constant

C. Coefficient

D. Exponent

4.Which of these is a constant term in the expression 4a + 9?Basic2 pts

A. 4

B. a

C. 4a

D. 9

5.What is the value of 3x when x = 4?Basic2 pts

A. 7

B. 12

C. 34

D. 43

6.Simplify: 5x + 3xIntermediate2 pts

A. 8x

B. 15x

C. 8x²

D. 2x

7.Simplify: 7a − 2a + aIntermediate2 pts

A. 4a

B. 6a

C. 10a

D. 5a

8.What is 2(x + 3) expanded?Intermediate2 pts

A. 2x + 3

B. 2x + 6

C. x + 6

D. 2x + 5

9.An equation is different from an expression because an equation:Basic2 pts

A. Has variables

B. Has numbers

C. Contains an equals sign

D. Has no solution

10.Solve for x: x + 5 = 12Basic2 pts

A. 5

B. 7

C. 12

D. 17

11.Solve for x: x − 4 = 10Basic2 pts

A. 6

B. 10

C. 14

D. 40

12.Solve for x: 3x = 21Intermediate2 pts

A. 3

B. 7

C. 18

D. 24

13.Solve for x: x/4 = 6Intermediate2 pts

A. 1.5

B. 10

C. 24

D. 2

14.To keep an equation balanced, whatever you do to one side you must:Intermediate2 pts

A. Do to the variable only

B. Do to the other side too

C. Ignore on the other side

D. Multiply by zero

15.Solve for x: 2x + 3 = 11Advanced2 pts

A. 3

B. 4

C. 7

D. 14

Section B — True / False

20 marks

10 questions · 2 marks each.

16.A variable always represents exactly the same number in every algebra problem you ever solve.Intermediate2 pts

True

False

17.In the term 8m, 8 is the coefficient and m is the variable.Basic2 pts

True

False

18.The expression 5 + 2 is an example of an algebraic expression with a variable.Basic2 pts

True

False

19.Like terms have the same variable raised to the same power.Intermediate2 pts

True

False

20.3x and 3x² are like terms.Intermediate2 pts

True

False

21.An equation always contains an equals sign.Basic2 pts

True

False

22.Solving an equation means finding the value of the variable that makes it true.Basic2 pts

True

False

23.If x + 6 = 10, then x = 4.Basic2 pts

True

False

24.You can add a number to one side of an equation without changing the other side.Intermediate2 pts

True

False

25.The solution to 5x = 0 is x = 0.Intermediate2 pts

True

False

Section C — Fill in the Blank

20 marks

10 questions · 2 marks each. Type the missing word or term.

26.In 6z, the letter z is called the ______.Basic2 pts

27.Terms that have identical variable parts are called ______ terms.Intermediate2 pts

28.A term with no variable attached, like 9 or −2, is called a ______.Basic2 pts

29.3a + 5a simplifies to ______.Intermediate2 pts

30.Multiplying out brackets, such as turning 3(x + 2) into 3x + 6, is called ______.Intermediate2 pts

31.The value that makes an equation true is called the ______ of the equation.Basic2 pts

32.If x − 7 = 3, then x = ______.Basic2 pts

33.If 4x = 20, then x = ______.Basic2 pts

34.To solve x + 9 = 15, you ______ 9 from both sides.Intermediate2 pts

35.To solve x/5 = 6, you ______ both sides by 5.Intermediate2 pts

Section D — Column Matching

10 marks

Use the ▲ ▼ buttons to reorder Column B until each row lines up with the correct term in Column A. 2 marks per correct pair.

36–40.Match each term to its correct definition.Advanced10 pts

Column A

Variable

Coefficient

Constant

Expression

Equation

Column B

The number multiplied by a variable in a term

A fixed number with no variable attached

A mathematical statement that says two expressions are equal

A symbol, usually a letter, that stands for an unknown value

A combination of numbers, variables and operators with no equals sign

Section E — Short Answer

20 marks

5 questions · 4 marks each. Answer in one or two sentences.

41.Explain what a variable is and give one example.Advanced4 pts

42.Explain the difference between an expression and an equation.Advanced4 pts

43.Explain what it means to simplify an algebraic expression, using 4x + 3x as an example.Advanced4 pts

44.Describe the steps you would take to solve the equation x + 8 = 20.Advanced4 pts

45.Explain why it's important to do the same operation to both sides of an equation when solving it.Advanced4 pts

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