Math Homework

Problem 1

Solve for $x$ :

$2x+3=11$

Problem 2

Solve for $y$ :

$3y-5=10$

Problem 3

Solve for $z$ :

$4z+2=18$

Problem 4

Solve for $x$ :

$\sqrt{x+1}=3$

Problem 5

Solve for $w$ :

$\frac{3}{4}w-2=1$

Problem 6

Solve for $x$ :

$\frac{1}{2}x+3=7$

Problem 7

Solve for $y$ :

$3y^2-12=0$

Problem 8

Solve for $z$ :

$4z+\frac{1}{3}=2$

Problem 9

Solve for $x$ :

$\sqrt{x+1}=3$

Problem 10

Solve for $w$ :

$\frac{3}{4}w-2=1$

Problem 11

Solve for $x$ :

$2(x+3)=14$

Problem 12

Solve for $y$ :

$3(y-2)+4=10$

Problem 13

Solve for $z$ :

$4(z+1)-3=9$

Problem 14

Solve for $w$ :

$\frac{1}{2}(4w-6)=5$

Problem 15

Solve for $x$ :

$3(2x-5)=21$

Problem 16

Solve for $x$ :

$\sin (x)=\frac{1}{2}$

Problem 17

Solve for $y$ :

$\cos (y)=\frac{\sqrt{3}}{2}$

Problem 18

Solve for $z$ :

$\tan (z)=1$

Problem 19

Solve for $w$ :

$2\sin (w)+1=0$

Problem 20

Solve for $x$ :

$\cos (2x)=0$

Problem 21

Add the matrices:

$$\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)+\left(\begin{array}{cc}5& 6\\ 7& 8\end{array}\right)$$

Problem 22

Subtract the matrices:

$$\left(\begin{array}{cc}9& 8\\ 7& 6\end{array}\right)-\left(\begin{array}{cc}5& 4\\ 3& 2\end{array}\right)$$

Problem 23

Multiply the matrices:

$$\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)\cdot \left(\begin{array}{cc}2& 0\\ 1& 2\end{array}\right)$$

Problem 24

Multiply the matrix by a scalar:

$$3\cdot \left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$$

Problem 25

Find the determinant of the matrix:

$$\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$$