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Biblioteka

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

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Pitanje 1
1.

Match the vocabulary terms with their definitions.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

operation

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the smallest mathematical unit, usually a number, a variable, or a product of numbers and variables

term

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a group of terms joined by operations, a mathematical phrase

inverse function

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a process that takes (usually two) terms and produces a result; common ones include addition, subtraction, multiplication, and division

function

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to assign a numerical value to, usually by substituting a numerical value for any variables in an expression

equation

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an operation that assigns an output to each input

evaluate

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a function that has the reverse outputs and inputs of another function; a function which undoes another function

expression

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two expressions joined by an equal sign

Pitanje 2
2.

Match the functions/operations with their inverses.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

f(x) = x - 3

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addition

subtraction

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division

f(x) = 3(x+2)

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f-1(x) = x/3

f(x) = 3x + 2

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f-1(x) = x + 3

multiplication

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f-1(x) = \frac{1}{3}x-2

f(x) = 3x

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f-1(x) = \frac{x-2}{3}

Pitanje 3
3.

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

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

  1. divide by 3

  2. subtract 2

  3. add 4

  4. multiply by 5

Pitanje 4
4.

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

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

  1. divide by 5

  2. add 2

  3. multiply by 3

  4. subtract 4

Pitanje 5
5.

Which property justifies the following equation?

2x = 5x - 3x

Pitanje 6
6.

Evaluate the expression for x = 5.

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

Enter your answer as a number, no spaces.

Pitanje 7
7.

Evaluate the expression for x = -7

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

Pitanje 8
8.

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

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

Pitanje 9
9.

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

Enter your answer as a number, no spaces.

Pitanje 10
10.

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

Enter your answer as a number, no spaces.

Pitanje 11
11.

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

Pitanje 12
12.

Solve the equation.

2x+16=32

Enter your answer as a number, no spaces.

Pitanje 13
13.

Solve the equation.

5(x+3) = 60

Enter your answer as a number, no spaces.

Pitanje 14
14.

Solve the equation.

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

Enter your answer as a number, no spaces.

Pitanje 15
15.

Solve the equation.

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

Enter your answer as a number, no spaces.

Pitanje 16
16.

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.

Pitanje 17
17.

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.

Pitanje 18
18.

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.

Pitanje 19
19.

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.

Pitanje 20
20.

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.