WGU C957 – Applied Algebra
(2026 Study Guide)
100 Practice Questions &
Answers — Multiple-Choice,
Correct Answer Marked ✔️✔️
SECTION 1 — FOUNDATIONS OF ALGEBRA (Variables, Expressions, Order of Operations)
1. Which of the following is an algebraic expression?
A. 25
B. 7x – 4
C. 19 = y
D. (3,4)
2. Evaluate: 3(5 – 2) + 4.
A. 7
B. 9
C. 13
D. 21
3. Simplify: 5x + 2x – 3.
A. 7x – 3
B. 5x – 1
C. 5x + 2
D. 3x – 7
4. What is the coefficient in the term –8y?
A. –1
, B. 8
C. –8
D. y
5. Which shows the correct order of operations?
A. Addition → Multiplication → Exponents → Parentheses
B. Parentheses → Exponents → Multiplication/Division → Addition/Subtraction
C. Exponents → Parentheses → Addition → Division
D. Multiplication → Parentheses → Exponents
6. Expression equivalent to 4(x – 2):
A. 4x – 2
B. 4x – 8
C. 4x – 4
D. x – 2
7. Simplify: 2(a + 3) + a.
A. 2a + 6
B. 3a + 6
C. 3a + 3
D. a + 3
8. Evaluate when x = 3: x² + 4.
A. 7
B. 9
C. 13
D. 16
9. Which is a constant?
A. 6x
B. –3
C. x²
D. 4y + 2
10. Simplify: 6 – 2(4 – 1).
A. 6
B. 2
C. –2
D. 4
,SECTION 2 — LINEAR EQUATIONS
11. Solve: x + 5 = 17.
A. x = 12
B. x = 22
C. x = 5
D. x = –12
12. Solve: 3x = 21.
A. x = 3
B. x = 6
C. x = 7
D. x = 18
13. Solve: 2x – 3 = 9.
A. x = 3
B. x = 4
C. x = 6
D. x = 12
14. Solve: ½x = 10.
A. x = 5
B. x = 10
C. x = 20
D. x = 40
15. Solve: 4x + 8 = 0.
A. x = –4
B. x = –2
C. x = 0
D. x = 2
16. Solve: –5x = 25.
A. x = –25
B. x = 5
C. x = –5
D. x = 0
17. Solve for x: 7 + x/3 = 10.
A. x = 1
B. x = 6
, C. x = 9
D. x = 21
18. Solve: 3(x – 2) = 12.
A. x = 3
B. x = 4
C. x = 5
D. x = 6
19. Solve: 8 – 2x = 4.
A. x = 4
B. x = –2
C. x = 2
D. x = –4
20. Solve: 5x + 3x = 40.
A. x = 5
B. x = 8
C. x = 40
D. x = 10
SECTION 3 — SYSTEMS OF LINEAR EQUATIONS
21. Solve system:
x + y = 10
x–y=2
A. (6, 4)
B. (4, 6)
C. (8, 2)
D. (5, 5)
22. Solve system:
2x + y = 11
x–y=1
A. (5, 1)
B. (6, –1)
C. (4, 3)
D. (3, 2)
(2026 Study Guide)
100 Practice Questions &
Answers — Multiple-Choice,
Correct Answer Marked ✔️✔️
SECTION 1 — FOUNDATIONS OF ALGEBRA (Variables, Expressions, Order of Operations)
1. Which of the following is an algebraic expression?
A. 25
B. 7x – 4
C. 19 = y
D. (3,4)
2. Evaluate: 3(5 – 2) + 4.
A. 7
B. 9
C. 13
D. 21
3. Simplify: 5x + 2x – 3.
A. 7x – 3
B. 5x – 1
C. 5x + 2
D. 3x – 7
4. What is the coefficient in the term –8y?
A. –1
, B. 8
C. –8
D. y
5. Which shows the correct order of operations?
A. Addition → Multiplication → Exponents → Parentheses
B. Parentheses → Exponents → Multiplication/Division → Addition/Subtraction
C. Exponents → Parentheses → Addition → Division
D. Multiplication → Parentheses → Exponents
6. Expression equivalent to 4(x – 2):
A. 4x – 2
B. 4x – 8
C. 4x – 4
D. x – 2
7. Simplify: 2(a + 3) + a.
A. 2a + 6
B. 3a + 6
C. 3a + 3
D. a + 3
8. Evaluate when x = 3: x² + 4.
A. 7
B. 9
C. 13
D. 16
9. Which is a constant?
A. 6x
B. –3
C. x²
D. 4y + 2
10. Simplify: 6 – 2(4 – 1).
A. 6
B. 2
C. –2
D. 4
,SECTION 2 — LINEAR EQUATIONS
11. Solve: x + 5 = 17.
A. x = 12
B. x = 22
C. x = 5
D. x = –12
12. Solve: 3x = 21.
A. x = 3
B. x = 6
C. x = 7
D. x = 18
13. Solve: 2x – 3 = 9.
A. x = 3
B. x = 4
C. x = 6
D. x = 12
14. Solve: ½x = 10.
A. x = 5
B. x = 10
C. x = 20
D. x = 40
15. Solve: 4x + 8 = 0.
A. x = –4
B. x = –2
C. x = 0
D. x = 2
16. Solve: –5x = 25.
A. x = –25
B. x = 5
C. x = –5
D. x = 0
17. Solve for x: 7 + x/3 = 10.
A. x = 1
B. x = 6
, C. x = 9
D. x = 21
18. Solve: 3(x – 2) = 12.
A. x = 3
B. x = 4
C. x = 5
D. x = 6
19. Solve: 8 – 2x = 4.
A. x = 4
B. x = –2
C. x = 2
D. x = –4
20. Solve: 5x + 3x = 40.
A. x = 5
B. x = 8
C. x = 40
D. x = 10
SECTION 3 — SYSTEMS OF LINEAR EQUATIONS
21. Solve system:
x + y = 10
x–y=2
A. (6, 4)
B. (4, 6)
C. (8, 2)
D. (5, 5)
22. Solve system:
2x + y = 11
x–y=1
A. (5, 1)
B. (6, –1)
C. (4, 3)
D. (3, 2)
