Equations
Inequalities
Graphs,and Tables, Equations
Balanced or Na
Vocab
100
Solve for x
x - 25 =35
x = 60
Add 25 to both sides to the equation
35 + 25 = 60
100
Write an inequality using x for less than $5
Answer:
x < 5
100
The independent variable is found on which axis on the coordinate plane?
Answer: x -axis
The dependent variable is on the y- axis. The independent variable is on the x axis.
100
Are these equations balanced?
n + 3 = 12
n + 3 - 5 =12 - 5
Yes!
Subtract 5 from both sides!
100
A___________________ is a mathematical sentence that uses an equal sign to show that two expressions are equal
Answer: Equation
200
Solve for x
4x+ 2 = 50
Answer: x = 12
4x + 2 = 50 --> get the variable by itself by doing inverse operations
4x = 50 - 2 = 48 -->4x= 48 --> x = 48/4 --> x= 12
200
Write an inequality with x for greater than or equal to 10
Answer:
x ≥ 10
200
Name 2 ordered pairs (100 points each) on the line y = 6x + 2?
Answer: Many answers.
Some examples: (0,2) (1,8) (2,14) (3,20) (4,26)
Plug in any x value and solve the equation for y value.
200
Are these equations balanced?
5 + 2 = 7
5 + 2 - 5 = 7 - 2
NO!
The new equation did not did the same numerical value to both sides.
subtract 5 and subtract 2 are not the same
200
Inverse operations
Name the inverse operations for 50 points each!
Addition --> _________ Multiplication --> ________
Subtraction --> _________ Division --> _________
Answers:
Addition --> Subtraction
Multiplication --> Division
Subtraction --> Addition
Division --> Multiplication
300
Which equation or equations are true if x = 4?
a. 6.3 + x = 12.3 b. x ÷ 16 = 4
c. 25.32 - 21.32 = x d. 1/8x=1/2
Answer: C and D!
a. 6.3 + (4) ≠ 12.3 b. (4) ÷ 16 ≠ 4
c. 25.32 - 21.32 = (4) d. 1/8(4) = 1/2
300
150 points each
How would I graph the inequality x > 12?
How would I graph the inequality x ≤ 5?
Answer:
1. Open circle on 12 and an arrow on the numberline going to the right!
2. Closed circle on 5 and an arrow on the numberline going to the left!
300
Answer: 40, 3 , 80
Equation: d=20h
300
Are these equations balanced?
8 = 3 + 5
8 - n = 3 + 5 - n
YES!
The new equation did the same operation and numerical value (-n) to both sides.
300
An _______________is a mathematical sentence that contains <,>,≤, ≥ or ≠.
Answer: Inequality
400
What equation can you use to describe the pattern in the table below.
Extra 100 if you can give me another one!
Answer:
a - 7 = b or b + 7= 0
Test by substituting: 7 - 7 = 0
400
Mr. Jones' family trip is less than 103 days away. Mr. Jones writes the inequality d ≤ 103, where d equals the number of days, to represent this. Is Mr. Jones correct?
Answer: NO!
The inequality he should use is x < 103 because it is less than and not less than or equal to.
400
Which equation represents the relationship between the independent and dependent variables in the chart below?
Answer: y = 4x + 1
y values are going up by 4 each time x values goes up by 1. Repeated addition is multiplication
--> (4x)
1 x 4 = 4 which is 1 away from our y value (5) there pattern is plus one. --> + 1
400
Are these equations balanced?
n/9=5
n/9 times 5 = 5 times 5
YES!
Same operation and numerical value to both sides ( multiplied by 5)
400
A ________________ variable changes in response to another variable.
Answer: dependent variable
The independent variable causes the dependent variable to change.
500
Solve for t in the equation.
t + 1/3 = 6 4/9
Answer: t = 6 1/9
Subtract 1/3 from both sides
6 4/9 - 1/3 --> 1/3 = 3/9
= 6 1/9
500
Lisa is going on vacation. She has set up a limit for her to spend less than $700 on this vacation. She really wants to see a broadway show which cost her $100. She has also budgeted $30 per meal she plans to eat.
Write an inequality to represent the number of meals, m, that Lisa can eat on the trip to meet her budget.
Answer:
700 > 100 + 30m or 600 > 30m
500
Which of the following equations was used to graph the line shown?
y = 2x + 1 y= x + 3 y=2x + 3
Answer: y = 2x +3
Points on line: (0,3) (1,5) (2,7)
Plug in to the equation to see if you get the right x and y values
7 = 2(2) + 3 5 =2(1) + 3 3=2(0) +3
500
Are these equations balanced?
3n + 5 = 13
2(3n + 5) = 13 + 2
NO!
The new equation did not did the same operation to both sides.
Multiplied by 2 and add 2 are not the same
500
Which is the independent and dependent variable in the situation?
The pounds, p, of flour you buy and the number of bread loaves, b you want to make.
Answer:
Independent variable is b, the number of bread loaves you want to make. Dependent variable is, p, of flour you buy.