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