P1.1: Expressions and Equations (1.5-Day)
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Last updated almost 4 years ago
20 questions
1
Match the vocabulary terms with their definitions.
Match the vocabulary terms with their definitions.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
function | arrow_right_alt | the smallest mathematical unit, usually a number, a variable, or a product of numbers and variables |
inverse function | arrow_right_alt | a group of terms joined by operations, a mathematical phrase |
expression | arrow_right_alt | a process that takes (usually two) terms and produces a result; common ones include addition, subtraction, multiplication, and division |
equation | arrow_right_alt | to assign a numerical value to, usually by substituting a numerical value for any variables in an expression |
evaluate | arrow_right_alt | an operation that assigns an output to each input |
term | arrow_right_alt | a function that has the reverse outputs and inputs of another function; a function which undoes another function |
operation | arrow_right_alt | two expressions joined by an equal sign |
1
Match the functions/operations with their inverses.
Match the functions/operations with their inverses.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
f(x) = 3x + 2 | arrow_right_alt | addition |
multiplication | arrow_right_alt | division |
f(x) = 3x | arrow_right_alt | f-1(x) = x/3 |
subtraction | arrow_right_alt | f-1(x) = x + 3 |
f(x) = 3(x+2) | arrow_right_alt | f-1(x) = \frac{1}{3}x-2 |
f(x) = x - 3 | arrow_right_alt | f-1(x) = \frac{x-2}{3} |
1
Put the steps in order to evaluate the following expression for x=2.
5(\frac{x+4}{3}-2)
Put the steps in order to evaluate the following expression for x=2.
5(\frac{x+4}{3}-2)
- divide by 3
- subtract 2
- add 4
- multiply by 5
1
Put the steps in order to solve the following equation for x.
5(\frac{x+4}{3}-2)=0
Put the steps in order to solve the following equation for x.
5(\frac{x+4}{3}-2)=0
- divide by 5
- subtract 4
- add 2
- multiply by 3
1
Which property justifies the following equation?
2x = 5x - 3x
Which property justifies the following equation?
2x = 5x - 3x
1
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 = 5.
\frac{1}{4}(x+7) - 2x
Enter your answer as a number, no spaces.
1
Evaluate the expression for x = -7
|x +4| + (x+4)^{2}
Evaluate the expression for x = -7
|x +4| + (x+4)^{2}
1
Evaluate the expression for x = 12, y = -8.
\frac{1}{2}(x+y)^{2}+\frac{y}{2}
Evaluate the expression for x = 12, y = -8.
\frac{1}{2}(x+y)^{2}+\frac{y}{2}
1
If f(x) = \frac{2-x}{2}, what is f(4)?
Enter your answer as a number, no spaces.
If f(x) = \frac{2-x}{2}, what is f(4)?
Enter your answer as a number, no spaces.
1
If f(x) = |5 - |x||, what is f(-1)?
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.
1
When Dr. Demo solved the equation 2(x+4)=10, he determined that x=3. Is Dr. Demo correct? Why or why not?
When Dr. Demo solved the equation 2(x+4)=10, he determined that x=3. Is Dr. Demo correct? Why or why not?
1
Solve the equation.
2x+16=32
Enter your answer as a number, no spaces.
Solve the equation.
2x+16=32
Enter your answer as a number, no spaces.
1
Solve the equation.
5(x+3) = 60
Enter your answer as a number, no spaces.
Solve the equation.
5(x+3) = 60
Enter your answer as a number, no spaces.
1
Solve the equation.
\frac{1}{3}(x+5) = 1
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.
1
Solve the equation.
\frac{x+4}{2}=x+7
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.
1
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.
|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.
1
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.
|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.
1
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.
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.
1
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.
\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.
1
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.
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.