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quiz 2

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QUIZ

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Evaluate the expression with its given values. 3x/y; x = 4, y = 12

1

2 + (2+6)x square + 2x + 3x square + 7

11x square + 2x + 9

Evaluate the expression with its given values. 5x - 2y; x = 2, y = -1

12

7a - (4a - 8a + 3) + 2a

13a - 3

15 - 3 square + 2(8 - 3)

16

8(2 square) + 7(-2-5) + 3

18

Samuel jumped 12 feet in the broad jump. Jeremy jumped x feet more than Samuel's distance. Write an expression that represents the distance that Jeremy jumped.

1: b 2: h 3: c 4: d

On my last birthday I weighed 180 pounds. One year later my weight had decreased by x pounds. Write the expression that gives my weight one year later.

1: decreased by 2: subtraction 3: variable preforms 4: 180 - x

Juno and his 3 friends are evenly dividing the group rate cost for entrance to the zoo. The group cost is n dollars. Write the expression that tells how much Juno will pay.

1: e 2: g 3: b 4: c

Next year Sheila's age will be twice what her sister's age is now. Write the expression that represents Sheila's age next year.

1: will be twice what her sister 2: multiplication 3: the action preforms 4: 2x

Evaluate the expression with its given values. x + y - 7; x = 3, y = 6

2

An airplane went 20 miles an hour faster than twice the speed of a car that ran x

2x + 20

14 / (13-6) + 4 x 7

30

13 + (2, 2square x 7) - 10

31

Martin has 38 dollars. Raymond has x fewer dollars than Martin. Choose the expression that shows how much money Raymond has.

38 - x

3x + 2y - 2 + 2x + 7y + 7

5x + 9y + 5

3x - 2y + 5, x = 7, y = 10

6

10[21 + 3(6-2 square) square] + 4 / 2

692

9x square - 3 (x square + x) + 4y - 3 + 2x - 5

6x square - x + 4y - 8

2x/3 - y + 7; x = 9, y = 4

9

Match the sentences with the correct terms.

A(n) "constant" is a value that does not change. - A(n) "variable" is a value, usually in the form of a letter or symbol, that can change or that represents an unknown quantity - A(n) "operator" is a symbol that indicates a mathematical operation, such as addition, subtraction, multiplication, or division (+, −, ×, ÷).

Match the sentences with the correct terms.

A(n) "term" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol. - A(n) "coefficient" is the number written together with a variable to indicate the product of the number and the variable in a term. - A(n) "relation symbol" is a symbol that shows the relationship between two expressions, that they are either equal, indicated with an equal sign (=), or unequal, indicated with an inequality sign (< or >).

2 + (3+4) = (2+3) + 4

Associative

2+3=3+2

Commutative

3 x 4 = 4 x 3

Commutative

2(3+4)=(2x3)+(2x4)

Distributive

_________ are terms that contain the same set of variables raised to the same power.

Like Terms

mathematical expression

a combination of terms with one or more operators grouped together to represent a numerical value

function

a relation in which every input is paired with exactly one output

equation

a relation in which one expression is equal to another expression

inequality

a relation in which one expression is not equal to another expression

relation

a relationship between sets of information

order of operations

a set of rules used to determine the proper order for performing operations in an expression that involves more than one operation

operator

a symbol that indicates a mathematical operation, such as addition, subtraction, multiplication, or division (+, −, ×, ÷)

relation symbol

a symbol that shows the relationship between two expressions, that they are either equal, indicated with an equal sign (=), or unequal, indicated with an inequality sign (< or >)

constant

a value that does not change

variable

a value, usually in the form of a letter or symbol, that can change or that represents an unknown quantity

first-degree variable

a variable raised to the power of 1

second-degree variable

a variable raised to the power of 2

A(n) ___ expression is an expression that contains variables or a combination of constants and variables with one or more operators.

algebraic

expression is an expression that contains variables or a combination of constants and variables with one or more operators.

algebraic 2

numerical expression

an expression that contains only numbers with one or more operators

algebraic expression NEXT LESSON

an expression that contains variables or a combination of constants and variables with one or more operators

2x(3x4)=(2x3)x4

associative

Match the words with the symbols. expression: coefficient: equation:

b g f

When you multiply terms in an expression, you must remember to multiply both the _________ and the _________.

coefficient variables

A(n) ___ is a relation that shows that one expression is equal to another expression.

equation

What kind of relationship is expressed below? 3x+2=6

equation

What kind of relationship is expressed below? 5x+3=7

equation

What type of relationship is expressed below? 5x=2x-9

equation

What type of relationship is expressed below? 9x+1=15

equation

What kind of relationship is expressed below? f(x)=x+5

equation- function?

What type of relationship is expressed below? f(x)=7x+3

equation- inequality-

To find the numerical value of an expression by substituting a number for each variable and simplifying the expression means to ___ an expression.

evaluate

evaluate an expression

find the numerical value of an expression by substituting a number for each variable and simplifying the expression

What kind of relationship is expressed below? (7,10),(8,4),(1,0)

function

Match the words with the symbols. relation symbol: variable: constant or term: operator:

g d b e

What kind of relationship is expressed below? 5x-9>12

inequality

What type of relationship is expressed below? 3x+2>10

inequality

To solve an equation, you must _________________ you need to __________ The set of values that makes an equation true is called the __________

isolate the variable solve the equation solution set

You can combine terms by adding or subtracting only if the terms are ________ terms.

like

A(n) ___ expression is a combination of terms with one or more operators grouped together to represent a numerical value.

mathematical

A(n) ___ expression is an expression that contains only numbers with one or more operators.

numerical

The _____ is a set of rules used to determine the proper order for performing operations in an expression that involves more than one operation.

order of operations

is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

order of operations 1

The variable whose value depends on the input is the ___.

output

term

part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol

simplify an expression

perform all the indicated operations

conceptual

relating to abstract ideas

Two numbers whose product is 1 are called multiplicative inverses or ___.

relations- functions-

To perform all the indicated operations means to ___ an expression.

simplify

To perform all the indicated operations means to_________ an expression

simplify. 3

grouping symbols

symbols that are used to indicate a group of terms that should be treated as one term or to indicate operations that must be performed before other operations are attempted in an expression; (), [ ], { }

Match the statements with the algebraic properties. if a=b then b=a if a=b then a-c=b-c if a=b then a + c = b + c

symmetric subtraction addition

like terms

terms that contain the same set of variables raised to the same power

algebra

the branch of mathematics that uses alphabetic symbols to represent unknown numbers or specific sets of numbers in order to make generalizations about arithmetic operations and mathematical relationships

independent variable

the input of the function

coefficient

the number written together with a variable to indicate the product of the number and the variable in a term

dependent variable

the output of a function

solution set

the set of values that makes the equation true

derivation

the source or origin of a word

input

the variable that determines the value of the output in a function

output

the variable whose value depends on the input in a function

solve an equation

to find the set of values that makes the equation true

isolate the variable

to perform whatever operations are necessary so that the variable appears by itself on one side of the equation but not on the other side

reciprocals

two numbers whose product is 1; reciprocals are also called multiplicative inverses

-5x + 2 = 12

x = -2

2x/5 = 4

x = 10

-8x - 3 = 13 - 9x

x = 16

17 = x + 1

x = 16

6(x - 1) = 2x + 10

x = 4

4x - 8 =16

x = 6

3x + 7 = 16 + 2x

x = 9

5x + 3x - 4 = 5 + 7x

x = 9

6x/2 = 27

x = 9

7x - 5 = 6x + 4

x = 9

5x + 6 = 4x + 9

x=3