Algebra Quiz
1️⃣ If x + 5 = 10, what is the value of x?
Step-by-Step Explanation
Subtract 5 from both sides of the equation.
x + 5 - 5 = 10 - 5.
x = 5.
Answer: 5 ✅
2️⃣ If 2y = 12, what is the value of y?
Step-by-Step Explanation
Divide both sides of the equation by 2.
2y / 2 = 12 / 2.
y = 6.
Answer: 6 ✅
3️⃣ If a - 3 = 7, what is the value of a?
Step-by-Step Explanation
Add 3 to both sides of the equation.
a - 3 + 3 = 7 + 3.
a = 10.
Answer: 10 ✅
4️⃣ If 3b = 15, what is the value of b?
Step-by-Step Explanation
Divide both sides of the equation by 3.
3b / 3 = 15 / 3.
b = 5.
Answer: 5 ✅
5️⃣ If z / 2 = 4, what is the value of z?
Step-by-Step Explanation
Multiply both sides of the equation by 2.
(z / 2) * 2 = 4 * 2.
z = 8.
Answer: 8 ✅
6️⃣ If 2x + 3 = 11, what is the value of x?
Step-by-Step Explanation
Subtract 3 from both sides of the equation.
2x + 3 - 3 = 11 - 3.
2x = 8.
Divide both sides by 2.
2x / 2 = 8 / 2.
x = 4.
Answer: 4 ✅
7️⃣ If 3(y - 2) = 12, what is the value of y?
Step-by-Step Explanation
Divide both sides of the equation by 3.
3(y - 2) / 3 = 12 / 3.
y - 2 = 4.
Add 2 to both sides of the equation.
y - 2 + 2 = 4 + 2.
y = 6.
Answer: 6 ✅
8️⃣ If (a + 1) / 3 = 5, what is the value of a?
Step-by-Step Explanation
Multiply both sides of the equation by 3.
((a + 1) / 3) * 3 = 5 * 3.
a + 1 = 15.
Subtract 1 from both sides of the equation.
a + 1 - 1 = 15 - 1.
a = 14.
Answer: 14 ✅
9️⃣ If x² - 5x + 6 = 0, what are the values of x?
Step-by-Step Explanation
Factor the quadratic equation.
x² - 5x + 6 = (x - 2)(x - 3) = 0.
Set each factor to zero: x - 2 = 0 or x - 3 = 0.
Solutions: x = 2, x = 3.
Answer: 2, 3 ✅
🔟 If (2x + 1) / (x - 1) = 3, what is the value of x?
Step-by-Step Explanation
Multiply both sides of the equation by (x - 1).
(2x + 1) = 3(x - 1).
2x + 1 = 3x - 3.
Subtract 2x from both sides of the equation.
1 = x - 3.
Add 3 to both sides of the equation.
1 + 3 = x.
x = 4.
Answer: 4 ✅