Section 1
Review of Solving Equations by Factoring
Solve each equation.$(t+7)(t-6)=0$
Solve each equation.$3 z(2 z-9)=0$
Solve each equation.$u^{2}+15 u+44=0$
Solve each equation.$n^{2}+10 n-24=0$
Solve each equation.$x^{2}=x+56$
Solve each equation.$c^{2}+3 c=54$
Solve each equation.$1-100 w^{2}=0$
Solve each equation.$9 j^{2}=49$
Solve each equation.$5 m^{2}+8=22 m$
Solve each equation.$19 a+20=-3 a^{2}$
Solve each equation.$23 d=-10-6 d^{2}$
Solve each equation.$8 h^{2}+12=35 h$
Solve each equation.$2 r=7 r^{2}$
Solve each equation.$5 n^{2}=-6 n$
Identify each equation as linear or quadratic.$9 m^{2}-2 m+1=0$
Identify each equation as linear or quadratic.$17=3 z-z^{2}$
Identify each equation as linear or quadratic.$13-4 x=19$
Identify each equation as linear or quadratic.$10-2(3 d+1)=5 d+19$
Identify each equation as linear or quadratic.$y(2 y-5)=3 y+1$
Identify each equation as linear or quadratic.$3(4 y-3)=y(y+1)$
Identify each equation as linear or quadratic.$-4(b+7)+5 b=2 b+9$
Identify each equation as linear or quadratic.$6+2 k(k-1)=5 k$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$13 c=2 c^{2}+6$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$12 x-1=2 x+9$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$2 p(p+4)=p^{2}+5 p+10$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$z^{2}-20=22-z$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$5(3 n-2)-11 n=2 n-1$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$5 a^{2}=45 a$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$3 t^{3}+5 t=-8 t^{2}$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$6(2 k-3)+10=3(2 k-5)$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$2(r+5)=10-4 r^{2}$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$3 d-4=d(d+8)$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$9 y-6(y+1)=12-5 y$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$3 m(2 m+5)-8=2 m(3 m+5)+2$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$\frac{1}{16} w^{2}+\frac{1}{8} w=\frac{1}{2}$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$6 h=4 h^{3}+5 h^{2}$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$12 n+3=-12 n^{2}$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$u=u^{2}$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$3 b^{2}-b-7=4 b(2 b+3)-1$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$\frac{1}{2} q^{2}+\frac{3}{4}=\frac{5}{4} q$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$t^{3}+7 t^{2}-4 t-28=0$
In this section, there is a mix of linear and quadratic equations as well as equations of higher degree. Solve each equation.$5 m^{3}+2 m^{2}-5 m-2=0$
Write an equation and solve.The length of a rectangle is 5 in. more than its width. Find the dimensions of the rectangle if its area is $14 \mathrm{in}^{2}$.
Write an equation and solve.The width of a rectangle is $3 \mathrm{~cm}$ shorter than its length. If the area is $70 \mathrm{~cm}^{2},$ what are the dimensions of the rectangle?
Write an equation and solve.The length of a rectangle is $1 \mathrm{~cm}$ less than twice its width. The area is $45 \mathrm{~cm}^{2}$. What are the dimensions of the rectangle?
Write an equation and solve.A rectangle has an area of $32 \mathrm{in}^{2}$. Its length is $4 \mathrm{in}$. less than three times its width. Find the length and width.
Find the base and height of each triangle.
Find the lengths of the sides of the following right triangles. (Hint: Use the Pythagorean theorem.)