🚀 Algebra Ascent: Set 1 🚀

Question 1: Which expression shows "five less than a number \(x\)"?

• \( 5 - x \)
• \( x + 5 \)
• \( x - 5 \)
• \( 5x \)

Question 2: Solve for \( n \): \( n + 3 = 10 \)

• \( 3 \)
• \( 7 \)
• \( 10 \)
• \( 13 \)

Question 3: Which inequality represents "\(y\) is greater than or equal to two"?

• \( y > 2 \)
• \( y < 2 \)
• \( y \geq 2 \)
• \( y \leq 2 \)

Question 4: Calculate: \( -8 + 5 \)

• \( -13 \)
• \( -3 \)
• \( 3 \)
• \( 13 \)

Question 5: Simplify: \( x^2 \cdot x^3 \)

• \( x^5 \)
• \( x^6 \)
• \( x^9 \)
• \( 2x^5 \)

Question 6: Solve for \( x \): \( 3x - 7 = 8 \)

• \( x = 3 \)
• \( x = 5 \)
• \( x = 7 \)
• \( x = 9 \)

Question 7: Which graph represents the inequality \( x < 4 \)?

• Number line with open circle at 4, shading to the right
• Number line with closed circle at 4, shading to the right
• Number line with open circle at 4, shading to the left
• Number line with closed circle at 4, shading to the left

Question 8: Evaluate: \( \frac{3}{4} + (-\frac{1}{2}) \)

• \( -\frac{5}{4} \)
• \( -\frac{1}{4} \)
• \( \frac{1}{4} \)
• \( \frac{5}{4} \)

Question 9: Simplify: \( (2^3)^2 \)

• \( 2^5 \)
• \( 2^6 \)
• \( 2^9 \)
• \( 4^6 \)

Question 10: Which ordered pair is part of the function \( f(x) = 2x - 1 \)?

• \( (0, 1) \)
• \( (1, 2) \)
• \( (2, 3) \)
• \( (3, 7) \)

Question 11: Solve for \( x \): \( \frac{x}{2} + 3 = -1 \)

• \( x = -8 \)
• \( x = -4 \)
• \( x = 4 \)
• \( x = 8 \)

Question 12: Solve the inequality: \( 2x + 5 < 11 \)

• \( x < 3 \)
• \( x > 3 \)
• \( x < 8 \)
• \( x > 8 \)

Question 13: Evaluate: \( \frac{-6 \times 2}{3} + 4 \)

• \( -8 \)
• \( -4 \)
• \( 0 \)
• \( 8 \)

Question 14: Simplify: \( \frac{a^5}{a^2} \cdot a^{-3} \)

• \( a^{-1} \)
• \( a^{0} \) or \( 1 \)
• \( a^{6} \)
• \( a^{10} \)

Question 15: If \( f(x) = x^2 - 3x \), find \( f(-2) \)

• \( -10 \)
• \( -2 \)
• \( 2 \)
• \( 10 \)