Log inSign up for FREE
Library

Quiz 1.1 - Expressions and Equations

Last updated almost 4 years ago
15 questions
1

Match the vocabulary terms with their definitions.

Draggable itemCorresponding Item
the smallest mathematical unit, usually a number, a variable, or a product of numbers and variables
term
two expressions joined by an inequality sign
expression
a process that takes (usually two) terms and produces a result; common ones include addition, subtraction, multiplication, and division
operation
an operation that assigns an output to each input
inequality
a group of terms joined by operations, a mathematical phrase
function
1

Match the functions/operations with their inverses.

Draggable itemCorresponding Item
addition
subtraction
multiplication
division
f(x) = x - 2
f-1(x) = x + 2
f(x) = x/2
f-1(x) = 2x
1

Evaluate the expression for x = 5.

\frac{x+15}{4}-2x

Enter your answer as a number.

1

Evaluate the expression for x = 5, y = -2

2xy^{2}-\frac{8(x+y)^{2}}{3}

Enter your answer as a number.

1

If f(x) = \frac{5-x}{2}, what is f(-11)?

Enter your answer as a number, no spaces.

1

If f(x) = 2x^{2}-16, what is f(-3)?

Enter your answer as a number, no spaces.

1

Put the steps in order to evaluate the expression below.

\frac{(2-4)^{3}+66}{2}

  1. perform the exponent
  2. divide
  3. add
  4. subtract
1

Put the steps in order to evaluate the expression below

\frac{1}{3}|4+(\frac{1}{3})^{-1}|-22

  1. subtract 22
  2. perform the exponent
  3. perform the absolute value
  4. multiply by 1/3
  5. add
1

Solve the equation.

4x+29 = 5-8(x+6)

Enter your answer as a number, no spaces.

1

Solve the equation.

\frac{3x-6}{3}=2x+1

Enter your answer as a number, no spaces.

1

Solve the equation.

\frac{2}{3} = \frac{x}{84}

Enter your answer as a number, no spaces.

1

Solve the equation. Check for extraneous solutions.

|3-6x|=39

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. Check for extraneous solutions.

\frac{|x-3|}{-2}=-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. Check for extraneous solutions.

|5-x|+9=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.

1

Dr. Demo solved the equation |x+2| = 2x+7 and got x={-5, -3}.

Is his solution correct? Why or why not?