Chapter 5

Algebra 2 · 550 exercises

Problem 1

Solve each equation using the Quadratic Formula. $$ x^{2}-4 x+3=0 $$

6 step solution

Problem 1

Solve each equation. $$ x^{2}+6 x+9=1 $$

3 step solution

Problem 1

Simplify each number by using the imaginary number \(i\) $$ \sqrt{-4} $$

5 step solution

Problem 1

Solve each equation by factoring. Check your answers. $$ x^{2}+6 x+8=0 $$

5 step solution

Problem 1

Find the GCF of each expression. Then factor the expression. $$ 3 a^{2}+9 $$

2 step solution

Problem 1

Graph each function. Identify the axis of symmetry. $$ y=(x-1)^{2}+2 $$

2 step solution

Problem 1

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ y=x+4 $$

3 step solution

Problem 1

Graph each function. $$ y=-x^{2}+1 $$

6 step solution

Problem 2

Solve each equation using the Quadratic Formula. $$ x^{2}+8 x+12=0 $$

6 step solution

Problem 2

Solve each equation. $$ x^{2}-4 x+4=100 $$

5 step solution

Problem 2

Simplify each number by using the imaginary number \(i\) $$ \sqrt{-7} $$

3 step solution

Problem 2

Solve each equation by factoring. Check your answers. $$ x^{2}+18=9 x $$

4 step solution

Problem 2

Find the GCF of each expression. Then factor the expression. $$ 25 b^{2}-35 $$

3 step solution

Problem 2

Graph each function. Identify the axis of symmetry. $$ y=(x+3)^{2}-4 $$

5 step solution

Problem 2

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ y=2 x^{2}-(3 x-5) $$

6 step solution

Problem 2

Graph each function. $$ y=-x^{2}-1 $$

5 step solution

Problem 3

Solve each equation using the Quadratic Formula. $$ 2 x^{2}+5 x-7=0 $$

6 step solution

Problem 3

Solve each equation. $$ x^{2}-2 x+1=4 $$

5 step solution

Problem 3

Simplify each number by using the imaginary number \(i\) $$ \sqrt{-15} $$

3 step solution

Problem 3

Solve each equation by factoring. Check your answers. $$ 2 x^{2}-x=3 $$

4 step solution

Problem 3

Find the GCF of each expression. Then factor the expression. $$ x^{2}-2 x $$

2 step solution

Problem 3

Graph each function. Identify the axis of symmetry. $$ y=2(x-2)^{2}+5 $$

4 step solution

Problem 3

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ y=3 x(x-2) $$

4 step solution

Problem 3

Graph each function. $$ y=2 x^{2}+4 $$

6 step solution

Problem 4

Solve each equation using the Quadratic Formula. $$ 3 x^{2}+2 x-1=0 $$

7 step solution

Problem 4

Solve each equation. $$ x^{2}+8 x+16=\frac{16}{9} $$

8 step solution

Problem 4

Simplify each number by using the imaginary number \(i\) $$ \sqrt{-81} $$

3 step solution

Problem 4

Solve each equation by factoring. Check your answers. $$ x^{2}-10 x+25=0 $$

5 step solution

Problem 4

Find the GCF of each expression. Then factor the expression. $$ 5 t^{2}+7 t $$

2 step solution

Problem 4

Graph each function. Identify the axis of symmetry. $$ y=2(x+1)^{2} $$

3 step solution

Problem 4

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ f(x)=x^{2}-7 $$

3 step solution

Problem 4

Graph each function. $$ y=3 x^{2}-6 $$

5 step solution

Problem 5

Solve each equation using the Quadratic Formula. $$ x^{2}+10 x=-25 $$

6 step solution

Problem 5

Solve each equation. $$ 4 x^{2}+4 x+1=49 $$

4 step solution

Problem 5

Simplify each number by using the imaginary number \(i\) $$ \sqrt{-50} $$

5 step solution

Problem 5

Solve each equation by factoring. Check your answers. $$ 2 x^{2}+6 x=-4 $$

4 step solution

Problem 5

Find the GCF of each expression. Then factor the expression. $$ 14 y^{2}+7 y $$

2 step solution

Problem 5

Graph each function. Identify the axis of symmetry. $$ y=-3(x+7)^{2}-8 $$

4 step solution

Problem 5

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ y=(x-2)(x+5) $$

3 step solution

Problem 5

Graph each function. $$ y=-\frac{1}{3} x^{2}-1 $$

5 step solution

Problem 6

Solve each equation using the Quadratic Formula. $$ 2 x^{2}+3 x-5=0 $$

5 step solution

Problem 6

Solve each equation. $$ x^{2}-12 x+36=25 $$

3 step solution

Problem 6

Simplify each number by using the imaginary number \(i\) $$ \sqrt{-16} $$

4 step solution

Problem 6

Solve each equation by factoring. Check your answers. $$ 3 x^{2}=16 x+12 $$

4 step solution

Problem 6

Find the GCF of each expression. Then factor the expression. $$ 27 p^{2}-9 p $$

2 step solution

Problem 6

Graph each function. Identify the axis of symmetry. $$ y=-\frac{1}{2}(x-2)^{2}+1 $$

4 step solution

Problem 6

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ g(x)=-7(x-4) $$

4 step solution

Problem 6

Graph each function. $$ y=-5 x^{2}+12 $$

6 step solution

Problem 7

Solve each equation using the Quadratic Formula. $$ x^{2}=3 x-1 $$

5 step solution

Problem 7

Simplify each number by using the imaginary number \(i\) $$ \sqrt{-32} $$

3 step solution

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