Expressions
Simplify
Solving Equations
Graphing
Linear Equations
100
Write an algebraic expression for the following verbal expression: "8 decreased by 5 times a number."
What is 8 -5x
100
-5(x+3)
What is -5x-15
100
-6x=36
What is x=-6
100
Make a table and graph the equation: y=(1/5)x-3
What is https://www.desmos.com/calculator/mnt5aodtve
100
Determine the rate of change between the points (-2, 7) and (-2, -3)
What is undefined (vertical line)
200
Write an algebraic expression for the verbal expression: "Twice a number less than than the square of a number."
What is x2-2x
200
-7(5x-9y)
What is -35x+63y
200
(2/5)x=4
What is x=10
200
Find the x and y intercepts of the equation 4x+2y=12 and graph the equation.
What is (3, 0) and (0, 6), https://www.desmos.com/calculator/vhffek1ywu
200
Write an equation in slope-intercept form for a line with a slope of 3 and a y-intercept of (0, -4)
What is y=3x-4
300
Write a verbal expression for the algebraic expression: "12x2 - 3"
What is three less than the 12 times the square of a number. Or Three decreased by the product of twelve and the square of the number.
300
2x+5-6x+7
What is -4x+12
300
5-3x=38
What is x=-11
300
Graph: y=-5x
What is https://www.desmos.com/calculator/sdsevcucbp
300
Write an equation in slope-intercept form of a line through the points (-1, -2) and (2, 7)
What is y=3x+1
400
Translate into an equation: "The difference of x and 8 is the same as the product of four and y.
What is x-8 = 4y
400
9x2+4x-6x+8-8x2-10-4x
What is x2-6x-2
400
15=(x-7)/2
What is x=37
400
Graph y=5/2
What is https://www.desmos.com/calculator/pom8u73azf
400
Write an equation in slope-intercept form for a line parallel to y=-2x+6 and goes through (3, 4)
What is y=-2x+10
500
Translate into an equation: "four-fifths of a number is the product of the same number squared and eight.
What is 4/5 * x = 8x2
500
4(x-3)-(5x+1)
What is -x-13
500
2x-3=5(x-2)
What is x=7/3
500
Graph x+y = 5
What is https://www.desmos.com/calculator/ludpgt3agz
500
A bicycle rental company charges customers $10.00 per hour plus a $15 fee to rent a bike. Write an equation in slope-intercept form for the total cost y of renting a bike for x hours. Then, use this equation to calculate the total cost of renting a bike for 8 hours.
What is y=10x+15, It would cost $95 to rent the bike for 8 hours.
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