🚀 Algebra Ascent: Set 2 🚀

Question 1: Which of these represents "the sum of \(y\) and seven"?

• \( 7 - y \)
• \( 7y \)
• \( y + 7 \)
• \( \frac{y}{7} \)

Question 2: Solve for \( m \): \( m - 4 = 5 \)

• \( 1 \)
• \( 5 \)
• \( 9 \)
• \( 20 \)

Question 3: Which inequality is the same as "\(x\) is no more than three"?

• \( x > 3 \)
• \( x < 3 \)
• \( x \leq 3 \)
• \( x \geq 3 \)

Question 4: Evaluate: \( 6 + (-9) \)

• \( -15 \)
• \( -3 \)
• \( 3 \)
• \( 15 \)

Question 5: Simplify: \( y^6 \div y^2 \)

• \( y^3 \)
• \( y^4 \)
• \( y^8 \)
• \( y^{12} \)

Question 6: Solve for \( a \): \( 2a + 5 = 11 \)

• \( a = 2 \)
• \( a = 3 \)
• \( a = 4 \)
• \( a = 8 \)

Question 7: Which number line shows \( x \geq -1 \)?

• Number line with open circle at -1, shading to the right
• Number line with closed circle at -1, shading to the right
• Number line with open circle at -1, shading to the left
• Number line with closed circle at -1, shading to the left

Question 8: Evaluate: \( -\frac{2}{5} - \frac{1}{5} \)

• \( -\frac{3}{5} \)
• \( -\frac{1}{5} \)
• \( \frac{1}{5} \)
• \( \frac{3}{5} \)

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

• \( 9x^5 \)
• \( 27x^5 \)
• \( 9x^6 \)
• \( 27x^6 \)

Question 10: Does the set of points \( \{(1, 2), (2, 4), (3, 6), (4, 8)\} \) represent a function? Why?

• No, because the \(y\) values are always greater than \(x\)
• No, because there are multiple points
• Yes, because each \(x\) value has a unique \(y\) value
• Yes, because the points form a straight line

Question 11: Solve for \( y \): \( -2y + 6 = 3y - 4 \)

• \( y = 1 \)
• \( y = 2 \)
• \( y = 3 \)
• \( y = 4 \)

Question 12: Solve the inequality: \( -3x \leq 12 \)

• \( x \leq -4 \)
• \( x \geq -4 \)
• \( x \leq 4 \)
• \( x \geq 4 \)

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

• \( -3 \)
• \( -1 \)
• \( 1 \)
• \( 3 \)

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

• \( b^{-5} \)
• \( b^{-1} \) or \( \frac{1}{b} \)
• \( b^{1} \) or \( b \)
• \( b^{9} \)

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

• \( -6 \)
• \( -3 \)
• \( 0 \)
• \( 6 \)