Solving Equations
Solve: 3x - 5 = 10
x = 5
What type of transformation flips a figure over a line?
Reflection
What is the slope of the line y = - 2x + 4?
-2
Find the missing side of the triangle with sides
a = 6, b = 8, c = ?
10
A car travels 180 miles in 3 hours. What is the rate of change?
60 miles per hour
Solve: 2(x - 4) = 3x + 1
x = -9
A triangle is rotated 90° clockwise. What stays the same?
area, side lengths, and angles
David and Norah are saving money for a new sleeping bags. David has $10 and saves $2 per week. Norah has $4 and saves $3 per week. Write an equation for each if x is the number of weeks and y is the amount of money.
David y = 2x + 10
Norah y = 3x + 4
True or False: A triangle with sides 5, 12, and 13 is a right triangle.
True
No solution, one solution, or infinite solutions?
2x + 4 = 2(x + 2)
infinite solutions
Solve: 2x - 1 - 1 = x - 3 - (-5 + x)
x = 2
Figure A is dilated by a scale factor of 2 to create figure B. Are figures A and B congruent?
No
Find the slope between the points (1, 2) and (3, 6).
2
A triangle has legs of lengths 7 and 24 units. What is the length of the hypotenuse?
25
Is this a function?
x y
1 2
2 3
1 4
No
Solve:
y = x + 7
y = 4x - 5
(4,11)
Yes
ndy and his girlfriend Jane want to buy iPods. Andy has $215 and can save $35 each week. Jane has $380 and can save $20 each week. When will Andy and Jane have the same amount of money?
11 weeks ($600)
A ladder leans against a wall. It reaches 10 ft high and is 6 ft from the wall’s base. How long is the ladder?
sqrt(136)
What is the volume of a cone with a diameter of 6 and a height of 5?
15 pi
Solve:
x = 7 + 3y
x = 4y + 5
(13,2)
A rectangle with area 20 is dilated by a scale factor of 2. What is the new area?
The area is multiplied by 4 (80)
Jack has $10 more than twice what Mia has. Together they have $70. How much does Mia have?
20
A square garden has a diagonal that measures 20 meters. What is the length of one side of the garden?
sqrt(200)
Simplify: (3x^2)^3
27x^6