P1.1: Expressions and Equations (1.5-Day)

Match the functions/operations with their inverses.

Put the steps in order to evaluate the following expression for x=2.

5(\frac{x+4}{3}-2)

1. add 4
2. divide by 3
3. subtract 2
4. multiply by 5

Put the steps in order to solve the following equation for x.

5(\frac{x+4}{3}-2)=0

1. subtract 4
2. multiply by 3
3. add 2
4. divide by 5

Which property justifies the following equation?

2x = 5x - 3x

Evaluate the expression for x = 5.

\frac{1}{4}(x+7) - 2x

Enter your answer as a number, no spaces.

Evaluate the expression for x = -7

|x +4| + (x+4)^{2}

Evaluate the expression for x = 12, y = -8.

\frac{1}{2}(x+y)^{2}+\frac{y}{2}

If f(x) = \frac{2-x}{2}, what is f(4)?

Enter your answer as a number, no spaces.

If f(x) = |5 - |x||, what is f(-1)?

Enter your answer as a number, no spaces.

When Dr. Demo solved the equation 2(x+4)=10, he determined that x=3. Is Dr. Demo correct? Why or why not?

Solve the equation.

2x+16=32

Enter your answer as a number, no spaces.

Solve the equation.

5(x+3) = 60

Enter your answer as a number, no spaces.

Solve the equation.

\frac{1}{3}(x+5) = 1

Enter your answer as a number, no spaces.

Solve the equation.

\frac{x+4}{2}=x+7

Enter your answer as a number, no spaces.

Solve the equation.

|2x+5|= 7

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. If there is only one solution, use x={#} format. If there are no solutions, type "no solution" with no quote marks.

Solve the equation.

|15 - \frac{2}{3}x|=5

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. If there is only one solution, use x={#} format. If there are no solutions, type "no solution" with no quote marks.

Solve the equation.

5-\frac{1}{2}|x|=10

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. If there is only one solution, use x={#} format. If there are no solutions, type "no solution" with no quote marks.

Solve the equation.

\frac{|x+3|}{-2}=-4

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. If there is only one solution, use x={#} format. If there are no solutions, type "no solution" with no quote marks.

Solve the equation.

|4-x|+10=2x+8

Use x={#, #} format, with exactly one space after the comma. List the smaller number first. If there is only one solution, use x={#} format. If there are no solutions, type "no solution" with no quote marks.