Equations and Inequalities
Solve the equation for x.
−2.5x − 7.5 = x + 6.5
What is x=-4
Mia bought 3 pencils for $4.20. How much did each pencil cost?
What is $1.40
A right triangle has side lengths of 8 inches and 6 inches. What is the length of the hypotenuse, in inches?
What is 10 inches
What is a transformation that moves every point of a figure the same distance and the same direction. Also described as a slide.
What is a translation
Solve n3 = 125 for n
What is 5
Solve the equation for h.
0.05h + 2.25 + 0.7h = 6.75
What is 6
Solve the equation 4(0.2x - 5) = 12
What is x=40
The top of a ladder rests at a height of 12 feet against the side of a house. If the base of the ladder is 9 feet from the house, what is the length of the ladder? Round to the nearest foot.
What is 15 feet
An equilateral triangle with side lengths 5 inches is translated 3 units down and 2 units right. Describe the shape and dimensions of the translated figure.
What is an equilateral triangle with side lengths 5 inches
Use the properties of operations to multiply the expressions. (3/4b-2)(12b)
9b2-24b
Solve the equation for x.
2.8x + 10 + 5.7x = 70 + x
What is x=8
What is the slope of the line that passes through (-1, 7) and (3, -4)?
What is -11/4
What theorem states that if a triangle is a right triangle, then the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.
The Pythagorean Theorem
Or a flip, is a transformation that flips a figure over a line of reflection
What is a reflection
The points in the table form a proportional relationship. What is the slope of the line that passes through these points? (0,0) (2,5) (4,10) (6,15)
What is 5/2
What is the solution to the equation -0.2(x - 20) = 44 - x?
What is x= 50
Jaydin hired an electrician. The equation y = 40x + 60 represents the cost in dollars, y, of hiring the electrician for x hours. What is the slope and y-intercept
The y-intercept means the initial cost is $60.
The slope means the cost increases $40 each hour
A triangle has two side lengths of 3.5 inches and 7.75 inches. Which of the following could be the length of the third side?
What is 10.75 in
Is a transformation that turns a figure around a fixed point
What is a rotation
The value of x in 3x+8=23
What is 5
Enzo has 16 hats. He has 80% as many hats as Eric. How many hats does Eric have?
What is 20 hats
Kayla walked 7/8 mile in 1/2 hour. What was his average rate of speed while walking?
What is 1 3/4 miles per hour
What theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
What is the Triangle Inequality Theorem
Richard said the y-values would stay the same when you reflect a preimage across the line y=5 since the y-values stay the same when you reflect a preimage across the y-axis. Is Richard correct?
No; The x-values would stay the same since the line y=5 is a horizontal line just like the x-axis
Solve for x in 5(2x-7) =65