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Linear Equations
Transformations
Linear Systems
Linear Systems - Word Problems
Rainbows
100
If y = -5x -3, this is the value of x when y = -23.
What is x = 4?
100
If the graph of y = 9x - 4 is translated 5 units up, this equation describes the new graph.
What is y = 9x + 1?
100
Find the solution to the system: x + 6y = 32 x + 3y = 17
What is (2, 5)?
100
The cost for renting a car for one day at Cars Plus is $25 per day plus 10 cents per mile. The cost for renting a car at Gentle Rental is $20 plus 15 cents per mile. In the graph of the cost of car rental, describe what the break-even point looks like.
What is the point of intersection on the graph?
100
For the function w, w(9) = −7, and w(−7) = 9. If y = w(x), this is the value of y when x = −7?
What is 9?
200
Write the equation 5x - 3y = 9 in slope-intercept form.
What is y = 5/3x - 3?
200
The graph of y = 11x^2 + c is a parabola with a vertex at the origin. This is the value of c.
What is c = 0?
200
The graph showing a solution to a system of linear equations will display _____ _____________ ________.
What is two intersecting lines?
200
The crib for Mrs. Matthew’s baby is a rectangle. This rectangle has a perimeter of 126 inches. Its length is 5 in more than its width. Find the dimensions of the baby’s crib.
What is 29 inches (width) by 34 inches (length)?
200
The minimum of the graph of f(x) = x^2 + 6x + 10.
What is the vertex (-3, 1)?
300
The rate of change in the equation 2x - 7y = 5.
What is a slope of 2/7?
300
This will happen to the slope of a line if the line is shifted so that the y-intercept increases and the x-intercept remains the same?
What is a steeper slope?
300
Solve the system: 3x + 5y = 17 2x + y = 9
What is (4, 1)?
300
There are 9 books stacked on a shelf. The thickness of each book is either 1 inch or 2 inches. The height of the stack of 9 books is 14 inches. This system of equations can be used to determine x, the number of 1-inch-thick books in the stack, and y, the number of 2-inch-thick books?
What is x + y = 9 x + 2y = 14
300
A painter charges $35 per hour for labor plus $40 for a ladder rental when he paints a house. The customer provides the paint. The total charge to paint a customer’s house was $950. This is the number of hours it took to paint the house.
What is 26 hours?
400
The equation of a line with a slope of 2 and passing through point (5, 1).
What is y = 2x - 9?
400
Describe the change in the x-intercept when the slope of the line y = x+ 3 is doubled.
What is an increase in the x-intercept?
400
Solve the system: 4x + 4y = 6 y = -x - 8
What is no solution? OR What are two parallel lines?
400
A high school band held a bake sale. The number of cupcakes sold was four more than twice the number of cookies sold. The band sold a total of 52 cupcakes and cookies. This is the number of cupcakes sold.
What is 36 cupcakes?
400
Jessie sells hand-painted plates. Her overhead costs are $700 per week and she pays an additional cost of $10 per plate for materials. This is the number of plates she must sell at $20 before she makes a profit.
What is 70 plates?
500
{(−5, 27), (−1, 15), (8, −12)} is a set of ordered pairs on the graph of this function.
What is y = -3x +12?
500
If the graph of a function of the form y = ax^2 + c has a vertex located below the origin and opens upward, these inequalities describe the values of a and c (use inequalities < or >).
What is a > 0 and c < 0?
500
Solve the system: 3x + 6y = 27 x + 2x = 9
What is an infinite number of solutions? OR What is the same line?
500
Chris and Paul sold tickets to the NCAA Regional Baseball Tournament. Chair back seats were $5 each while seats in Aggie Alley cost $2 each. If only 210 people attended and they paid a total of $660 for tickets, find how many people bought chair back seats.
What is 80 people?
500
This is the value of y if (3, y) is a solution to the equation 5x - 3y = 18.
What is y = -1?