Solving Equations
Solve for x:
4 + x - 7 = -12
-9
If point A(2,1) is translated 2 units right and 5 units down, what is point A'?
A' (4,-4)
Solve the proportion for x: 15/4.5 = 6/x
x = 1.8 or 9/5
Draw and label the four types of slope: (Positive, Negative, Zero, and Undefined)
:)
Angle A is vertical to angle B. Angle A is 112 degrees. What is the measure of angle B?
112 degrees
Solve for y:
y(4 + -13) = 54
-6
If point B(3,5) is reflected over the x-axis, what is point B'?
B' (3,-5)
A chili recipe calls for 6 pounds of ground beef for 25 servings. How many pounds are needed for 30 servings?
7.2 pounds
John had $10.00 in his bank account and he saved $5.00 each week.
Write an equation to describe the situation.
How much money does he have in 22 weeks?
Equation: y = 5x+10
He will have $120.00 in 22 weeks.
Angle 1 and 2 are complementary. Angle 1 is 25 degrees. Angle 2 is (x-18) degrees. Solve for x.
x = 83 degrees
Solve for p:
7p/8 = -21/32
-3/4
If point C(-2,-6) is reflected over the y-axis, what is point C'?
C' (2,-6)
What is the decimal and percent for 1/50 ?
Decimal: 0.02
Percent: 2%
Given the equation is written in slope intercept form, y = 5.4x + 8, state the slope and y-intercept of the line.
Slope = 5.4
Y-intercept = 8
A parallelogram has angles 45°, 135°, (25x+10)°, and 9x°. Solve for x.
x = 5 degrees
Solve for x:
12 - 4x = 2(x + -3)
3
Point D(4, 7) is one vertex of a rectangle on the coordinate plane. The image of this rectangle was produced using a scale factor of 1.5. What is point D'?
D' (6,10.5)
What is the simplified fraction and percent for 0.008?
Simplified Fraction: 1/125
Percent: 0.8%
Determine the slope of a line that passes through the points
(2, -5) and (-4, -8).
1/2
Angle 4 and Angle 5 are alternate interior angles.
If the measure of angle 4 is (6x – 2) and the measure of angle 5 is (2x + 22), find the value of angle 5.
x = 6 degrees
Angle 5 = 34 degrees
Solve for x:
-6.3 - 0.5x > -4.8
x < -3
If point E(-2,5) is rotated 180 degrees about the origin what is point E'?
E' (2, -5)
A bicycle originally priced at $225 was marked down 30% and a 6% tax was added. What is the new price?
Mark Down Price: $157.50
Sales Tax: $9.45 (Add it on)
Final Total: $166.95
Write this equation in slope intercept form: 4x - 3y = 6
Then, state the slope and y-intercept of the line.
Equation: y = 4/3x - 2
Slope (m) = 4/3
Y-intercept (b) = -2
A groundskeeper is building a circular flower bed. The flower bed is 16 feet in diameter. How much soil does the groundskeeper need to cover the flower bed?
Record your answer as exact AND record your answer approximately.
Exact: 64π
Approximate: 200.96 feet squared