Formulas and Definitions
Inequalities
Transformations
Equations
Wild Card
100
What is slope-intercept formula?
y = mx + b
100
Translate the following inequality to words:
x < -4
x is less than -4
100
Describe the transformation.
y = |x| + 5
Vertical translation up 5 units
100
Translate the sentence into an equation using the variable y for the unknown number.
Twice the difference of a number and 7 equals 9
2(y - 7) = 9
100
How can you find the y-intercept of a function using the equation? The table of values?
Equation: plug in x = 0
Table of values: find x = 0
200
What is the rate of change formula?
(y_2 - y_1)/(x_2 - x_1)
200
Solve the following inequality
2x - 3 ≥ 4x - 1
x ≤ -1 or -1 ≥ x
200
Describe the transformation.
y = |x+4|
Horizontal translation left 4 units
200
To go on a summer trip, Ryan borrows $600. The lender charges an annual simple interest rate of 4%. If he makes no payments until the end of 4 years, what will the total repayment amount be?
$696
200
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 charge y after purchasing x pizzas for delivery.
First restaurant: y = 8 + 16x
Second restaurant: y = 2 + 17x
300
What is the definition of a function?
Every input has exactly 1 output
(no repeating x-values, passes the vertical line test)
300
Solve the following inequality and graph it on a number line
7 ≤ 4x + 3 < 23
1 ≤ x < 5
300
Describe the transformations.
y = |x - 2| + 4
horizontal translation right 2 units
vertical translation up 4 units
300
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
300
Solve the system of equations.
y = 16x + 8
y = 17x + 2
(6, 104)
400
Is the equation below in standard form? Why or why not?
-3/4x + 2y = -1/2
No, there are fraction coefficients and the Ax-term is negative.
400
Answer the following questions about the inequality:
y > 5x - 3
Will the boundary line be dashed or solid?
Will it be shaded above or below the boundary line?
Is the origin a solution?
Dashed line, shaded above, (0, 0) is a solution
400
Consider the parent function f(x) = x2
Let h(x) be the transformation of f(x) with a vertical stretch by 2 and vertical translation down 8 units
Write the function for h(x).
h(x)=2x2 - 8
400
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
400
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
500
What is the (x, y) point in the linear equation below?
y - 7 = 2(x + 1)
(-1, 7)
500
Answer the following questions about the inequality:
-4x - 3y >= 6
Will the boundary line be dashed or solid?
Will it be shaded above or below the boundary line?
Is the origin a solution?
Solid boundary line, shaded below, (0, 0) is not a solution
500
For the parent function y = x3 describe the transformations of the function below.
y = -(2x - 2)3 - 3
Reflected over the y-axis, horizontal compression, horizontal translation right 2 units, vertical translation down 3 units.
500
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
500
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