1 Variable
Translate the sentence into an equation
Twice the difference of a number and 7 equals 9
Use the variable y for the unknown number.
2(y-7)=9
Analyze the following inequality:
What will the graph look like?
Will the line be dashed or solid?
Is the statement true or false?
x>=1
Vertical line at x=1
Solid line
False
Describe the translation.
y = |x| + 5
Up 5 units
Tammy deposits $300 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 2 years?
$18
The length of a rectangle is 4m longer than its width. If the perimeter of the rectangle is 68m, find its length and width.
Width - 15m
Length - 19m
Ann got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 21 cents per yard. If after that purchase there was $14.71 left on the card, how many yards of ribbon did Ann buy?
49 yards
Analyze the following inequality:
What will the graph look like?
Will the line be dashed or solid?
Is the statement true or false?
y>5x-3
Positive slope
dashed line
True
Describe the translation.
y = |x+4|
Left 4 units
To go on a summer trip, Ryan borrows $600. He makes no payments until the end of 4 years, when he pays off the entire loan. The lender charges simple interest at an annual rate of 4%.
What will the total repayment amount be (including interest)?
$696
Lucy bought some books for $4 each and received a discount of $5 off of her total purchase. She spent $71 after the discount. How many books did she buy?
19 books
A washer and a dryer cost $806 combined. The washer costs $44 less than the dryer. What is the cost of the dryer?
$425
Analyze the following inequality:
What will the graph look like?
Will the line be dashed or solid?
Is the statement true or false?
-4x-3y>6
Negative Slope
Dashed Line
False
Describe the translation.
y = |x-2| + 4
right 2 units
up 4 units
Kira opened a savings account with $800 and was paid simple interest at an annual rate of 4%. When Kira closed the account, she was paid $192 in interest. How long was the account open for, in years?
6 years
Henry will choose between two restaurants to purchase pizzas for his party. The first restaurant charges a delivery fee of $8 for the entire purchase and $16 per pizza. The second restaurant charges a delivery fee of $2 for the entire purchase and $17 per pizza.
For each restaurant, write an expression for the total charges of purchasing x pizzas (with delivery).
First restaurant: y = 8+16x
Second restaurant: y = 2+17x
The sum of three numbers is 148. The third number is 4 times the second. The first number is 10 more than the second. What are the numbers?
1st number - 33
2nd number - 23
3rd number - 92
Solve the following inequality
2x - 3 ≥ 4x - 1
x ≤ -1
The function h is defined as follows.
h(x) = 5x2 + 6
If the graph of h is translated vertically downward by 5 units, it becomes the graph of a function f.
Find the expression for f(x).
Deandre took out a $5000 loan for 292 days and was charged simple interest. The total interest he paid on the loan was $336.
As a percentage, what was the annual interest rate of Deandre's loan? Assume that there are 365 days in a year, and do not round any intermediate computations.
r = 0.084 - 8.4%
Solve the system of equations.
y = 16x + 8
y = 17x + 2
(6, 104)
Two trains leave stations 418 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
2.2 hours
Solve the following inequality:
d/2 -1>=3
d≥8
Describe the translation.
y = -(x-2)3 - 3
Reflected y- axis
Right 2 units
Down 3 units
A restaurant borrows $19,700 from a local bank for 4 months. The local bank charges simple interest at an annual rate of 2.45% for this loan. Assume each month is 1/12 of a year.
Find the interest that will be owed after 4 months. Round your final answer to the nearest cent.
$160.88
The length of a rectangle is four times its width.
If the area of the rectangle is 324 m2, find its perimeter.
width = 9m
Perimeter = 90 m