🚀 Algebra Ascent: Set 4 🚀

Question 1: Choose the expression that means "subtract \(3\) from \(y\), then double the result".

• \( 2y - 3 \)
• \( 2(y - 3) \)
• \( 2y + 3 \)
• \( \frac{y - 3}{2} \)

Question 2: Solve for \( q \): \( \frac{q}{4} = 3 \)

• \( \frac{3}{4} \)
• \( 1 \)
• \( 7 \)
• \( 12 \)

Question 3: Which inequality represents "A number \(z\) is at least -2"?

• \( z < -2 \)
• \( z > -2 \)
• \( z \leq -2 \)
• \( z \geq -2 \)

Question 4: Evaluate: \( -7 - (-2) \)

• \( -9 \)
• \( -5 \)
• \( 5 \)
• \( 9 \)

Question 5: Simplify: \( \frac{c^7 \cdot c^{-2}}{c^4} \)

• \( c \)
• \( c^{5} \)
• \( c^{9} \)
• \( c^{13} \)

Question 6: Solve for \( d \): \( 5d + 4 = 19 \)

• \( d = 2 \)
• \( d = 3 \)
• \( d = 5 \)
• \( d = 7 \)

Question 7: Choose the inequality that matches the number line with a closed circle at -3 and shading to the left.

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

Question 8: Evaluate: \( -\frac{3}{5} \div \frac{2}{3} \)

• \( -\frac{9}{10} \)
• \( -\frac{2}{5} \)
• \( \frac{2}{5} \)
• \( \frac{9}{10} \)

Question 9: Simplify: \( \frac{(2y^3)^2}{2y^2} \)

• \( 2y^4 \)
• \( 2y^8 \)
• \( 4y^4 \)
• \( 4y^8 \)

Question 10: Which set of ordered pairs does NOT represent a function?

• \( \{(0, 0), (1, 1), (2, 2), (3, 3)\} \)
• \( \{(1, 4), (2, 5), (3, 6), (4, 7)\} \)
• \( \{(2, -2), (3, -3), (4, -4), (5, -5)\} \)
• \( \{(4, 9), (4, 12), (5, 15), (6, 18)\} \)

Question 11: Solve for \( m \): \( 2(m + 1) - 3 = -m + 8 \)

• \( m = \frac{9}{3} \) or \( 3 \)
• \( m = \frac{9}{2} \) or \( 4.5 \)
• \( m = \frac{13}{3} \) or approx \( 4.33 \)
• \( m = \frac{13}{2} \) or \( 6.5 \)

Question 12: Solve the inequality: \( 5 - 2x \leq -1 \)

• \( x \leq 3 \)
• \( x \geq 3 \)
• \( x \leq -3 \)
• \( x \geq -3 \)

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

• \( -\frac{7}{3} \) or approx \( -2.33 \)
• \( -\frac{5}{3} \) or approx \( -1.67 \)
• \( \frac{5}{3} \) or approx \( 1.67 \)
• \( \frac{7}{3} \) or approx \( 2.33 \)

Question 14: Simplify: \( \left( \frac{3x^{-2}}{y} \right)^{-2} \)

• \( \frac{y^2}{9x^4} \)
• \( \frac{9x^4}{y^2} \)
• \( \frac{y^2}{3x^4} \)
• \( \frac{3x^4}{y^2} \)

Question 15: Given \( f(x) = 2x^2 - x + 4 \), find \( f(-3) \)

• \( 11 \)
• \( 17 \)
• \( 25 \)
• \( 31 \)