College Math Placement Test College Math Placement Algebra 4

Question 1

Which inequality is represented by the graph of a dashed line y = 2x + 1 with shading above it?

Accepted Answer

y > 2x + 1

Answer

A dashed line means the boundary is excluded, and shading above means y is greater than the line, so y > 2x+1.

Question 2

Simplify: √(50x²)

Accepted Answer

5x√2

Answer

√50=√(25×2)=5√2, and √(x²)=|x|, so the simplified form is 5|x|√2, typically written 5x√2 assuming x≥0.

Question 3

Solve for x: (x/3) + 5 = 9

Accepted Answer

x = 12

Answer

Subtract 5: x/3=4; multiply by 3: x=12.

Question 4

What is the vertex of the parabola y = (x − 2)² + 5?

Accepted Answer

(2, 5)

Answer

The vertex form y=(x−h)²+k gives vertex (h,k)=(2,5).

Question 5

Which value of x satisfies 5x + 3 > 18?

Accepted Answer

x = 4

Answer

5x > 15 → x > 3; only x=4 satisfies this.

College Math Placement Test Practice Test