Algebra 1 - Chp 1 - 2014

Front 1

The name of the set of counting numbers, their opposites and zero.

Back 1

integers

Front 2

A term in a mathematical expression that does not have a variable.

Back 2

constant

Front 3

Symbols used to represent unspecified numbers or values.

Back 3

variables

Front 4

The name for quantities being multiplied.

Back 4

factors

Front 5

Back 5

The product of 2 and a number to the sixth power.

Front 6

Write a verbal expression for the algebraic expression: 1/2x - 12

Back 6

one half times a number less twelve

Front 7

Write a verbal expression for the algebraic expression: 4(x + 3) - 16

Back 7

Four times the sum of a number and three less sixteen.

Front 8

Write an algebraic expression for the verbal expression: a number increased by 10.

Back 8

x + 10

Front 9

Write an algebraic expression for the verbal expression: Eight less than the product of a number and seven.

Back 9

7x - 8

Front 10

Write an algebraic expression for the verbal expression: The quotient of one and three times a number less sixteen.

Back 10

1/3x - 16

Front 11

Back 11

-1

Front 12

Back 12

-25

Front 13

Back 13

-9/4

Front 14

Back 14

1/13

Front 15

Evaluate 5x + (7y - z) for x = -2, y = 3, z = 4 (no calculator)

Back 15

7

Front 16

Back 16

1) 4x + 20
2) 52 square units

Front 17

The word that describes the property: for any number a, the sum of a and 0 is a. For example, 3 + 0 = 3.

Back 17

Additive Identity

Front 18

The word that describes the property: for any number a, the product of a and1 is a. For example, 4(1) = 4.

Back 18

Multiplicative identity

Front 19

The word that describes the property: A number and its opposite sum to 0. For example, 5 + -5 = 0

Back 19

Additive Inverse

Front 20

The word that describes the property: For every number a/b, where b does not equal 0, there is exactly one number b/a such that the product of a/b and b/a is 1. For example, (3/4)(4/3) = 1.

Back 20

Multiplicative inverse or reciprocal.

Front 21

The property that states that the order in which you add or multiply numbers does not matter. For example, 2 x 3 = 3 x 2.

Back 21

Commutative Property

Front 22

The property that states that when adding or multiplying three or more numbers changing the grouping does not change the sum or product. For example, (2 + 5) + 7 = 2 + (5 + 7)

Back 22

Associative Property

Front 23

State the distributive property using variables a, b and c.

Back 23

a(b + c) = ab + ac

Front 24

A group of 6 adults and 3 children are going to watch the SeaHawks play at the Superbowl. Tickets are $120. Write an expression that demonstrates the distributive property for this scenario. (You do not need to solve the equation)

Back 24

$120(6 + 3) = $120(6) + $120(3)

Front 25

the name for terms in an expression that contain the same variables raised to the same power.

Back 25

Like Terms

Front 26

Back 26

Front 27

Simplify (3 + x)2 – 7x + 13

Back 27

-5x + 13

Front 28

Kenji is picking up his take-out orders for the group. Show how to use the distributive property to do mental math to determine his total cost. (No calculator). Four sandwiches at $2.49 each and 3 drinks at $1.01 each

Back 28

4(2.50) - 4(.01) + 3(1.00) + 3(.01) = 10.00 - .04 + 3.00 + .03 = 12.99

Front 29

The perimeter of an octagon (8-sided figure) is 128 inches. Find the length of one side.

Back 29

128/8 = 16 inches

Front 30

The length of a rectangle is 4 inches greater than its width.
1) Draw a picture of the figure and label its dimensions.
2) Write an expression to find the area.
3) Find the area if the width is 3 inches. Include proper units.

Back 30

Front 31

Compare and contrast an algebraic expression and an algebraic equation.

Back 31

They both have terms that include variables but the equation has an equal sign and the expression does not. In fact, the equation is comprised of two expressions joined by an equal sign.

Front 32

Draw a coordinate grid and label the axes, origin, and quadrants.

Back 32

Front 33

1) Express the set {(-1,2),(2,3),(3,-4),(-5,-2)} as a graph and table
2) Identify the domain and range.

Back 33

Front 34

Back 34

1) The voltage of the battery decreases over time.
2) Time is the independent variable and voltage is the dependent variable.

Front 35

What are the four ways to describe a function that we discussed in class.

Back 35

1) graph
2) equation
3) table
4) words or verbal

Front 36

Give an example of the vertical line test and explain what it means.

Back 36

Front 37

For f(x) = 4x + 8 find f(1)

Back 37

f(1) = 12

Front 38

For f(x) = 13 - 3x and g(x) = x + 6 find f(0) - g(3)

Back 38

f(0) = 13
g(3) = 9
f(0) - g(3) = 13 - 9 = 4

Front 39

What is the definition of a function?

Back 39

A function is a relation in which every input has a unique output.

Front 40

Back 40

Yes, it represents a function because every input has a unique output.

Front 41

What is a domain of a relation?

Back 41

The domain is all the possible input values of a relation.

Front 42

What is the range of a relation?

Back 42

The range is all the possible output values of the relation.