Algebra Review
The function, f(t) = 1.40t + 1.90, shows the cost of a hamburger with different numbers of toppings. If Jodi put 4 toppings on her hamburger, how much did her burger cost?
$7.50
What are supplementary angles?
Add to 180.
If m∠ 1 = 52 and the m∠ 5 = 52, which two lines are parallel?
lines m and n
What is the sum of interior angles of a triangle?
180
How are the slopes of parallel lines related? How are the slopes of perpendicular lines related?
Parallel -> same slope
Perpendicular -> opposite reciprocal
The function, f(x) = 0.75x + 2.25, shows the cost of an ice cream sundae with different numbers of toppings (x). What is the slope and what does it mean?
How are corresponding angles related to each other?
They are congruent.
What does the m∠ 8 have to be for lines m and n to be parallel?
91
In triangle ABC, if ∠ A = 57 and ∠ B =39, what is the measure of angle C?
84
What is the slope of a line perpendicular to y = 6x + 1.
-1/6
The y-int is 5 and is the fee to attend the fair.
If ∠ 2 and ∠ 8 are same-side exterior angles and ∠2=131, what is the measure of ∠ 8?
49
If m∠ 1 = 6x +2 and m∠ 6 = 7x - 17, for what value of x is m||n?
x=15
The measure of an exterior angle is equal to what?
The sum of its two remote interior angles.
Write the equation of a line in slope intercept form that is parallel to the line y = -4x + 4 and passes through the point (3, -6).
y = -4x + 6
On a family vacation, you choose to learn how to go scuba diving. The scuba gear costs $75 to rent. The lessons cost $150 per hour. Write an equation in slope-intercept form to model the situation.
y = 150x +75
If ∠ 3 and ∠ 6 are alternate interior angles, ∠ 3 and ∠ 5 are same-side interior angles, what does that make ∠ 5 and ∠ 6?
supplementary angles
The transversal that intersects two lines forms ∠3=74 and ∠ 5 = 3x-13. For what value of x is m||n?
What is the measure of z?
91
Write the equation of a line in slope-intercept form that is perpendicular to the line y = 4x + 7 and passes through the point (-3, 6).
y = -1/4x + 18
The temperature is 21 degrees at 3pm and is expected to drop 2 degrees each hour for the next 24 hours. Write an equation in slope-intercept form to model the situation. What is the temperature at 5am?
y = -2x + 21; -7
If ∠ 1 and ∠ 8 are alternate exterior angles, ∠ 1 and ∠ 5 are corresponding angles, and m∠ 8 = 74, what is the m∠ 5?
74
The trasversal that intersects two parallel lines forms same-side interior angles with m∠ 4 = 5x-15 and m∠ 2 = 6x+8. What is the measure of each angle?
m∠ 4 = 70
m∠ 2 = 110
In triangle MNO, m∠ M = 23, ∠ N = 117, and ∠ R is supplementary to ∠ O. What is the measure of angle R?
140
Write the equation of a line in slope-intercept form that is perpendicular to the line x = -4 and passes through the point (-2, 5)
y = 5