Test #2 Study Flashcards
To study for test #2 in 6th grade math class
What is a tape diagram?
A representation used to model relationships between quantities.
True or False: Tape diagrams can only represent whole numbers.
False
Fill in the blank: A one-step equation can be solved in _____ step(s).
one
What is the purpose of a tape diagram in solving equations?
To represent the problem and to find the solution.
What does the variable ‘x’ typically represent in an equation?
An unknown value that we need to solve for.
Convert the word phrase ‘three times a number’ into an algebraic expression.
3x
What is the solution to the one-step equation x + 5 = 12?
x = 7
True or False: Decimals can be used in tape diagrams.
True
Fill in the blank: In the equation x - 3 = 10, the first step to solve for x is to _____ 3.
add
What does the term ‘expression’ mean in algebra?
A mathematical phrase that can contain numbers, variables, and operations.
Convert the word phrase ‘the sum of a number and 4’ into an algebraic expression.
x + 4
What is the solution to the equation 2x = 16?
x = 8
True or False: An equation always contains an equal sign.
True
What is the first step to solve the equation 5x = 25?
Divide both sides by 5.
Convert the word phrase ‘twice a number decreased by 3’ into an algebraic expression.
2x - 3
What does ‘whole numbers’ refer to?
Non-negative integers, including zero.
Fill in the blank: In the equation x/4 = 3, to find x you would _____ both sides by 4.
multiply
What is a key feature of a tape diagram?
It uses rectangles to represent quantities and their relationships.
What is the solution to the equation x - 6 = 2?
x = 8
True or False: You can represent fractions in tape diagrams.
True
Convert the word phrase ‘the product of 7 and a number’ into an algebraic expression.
7x
What does ‘decimals’ refer to?
Numbers that contain a decimal point, representing values between whole numbers.
What is the solution to the equation 3x + 4 = 16?
x = 4
Fill in the blank: When solving x + 10 = 20, you would _____ 10 from both sides.
subtract
True or False: A tape diagram can help in understanding ratios.
True
What is the purpose of using variables in algebra?
To represent unknown quantities in equations and expressions.
Convert the phrase ‘the difference between a number and 5’ into an algebraic expression.
x - 5
What is the solution to the equation x/3 = 9?
x = 27
