Algebra 1
The following sets of ordered pairs represent relations from the set X to the set Y. Which one is a function?
{(4, 1), (8, 2), (8, 3), (12, 3)}
{(4, 1), (8, 2), (12, 2), (12, 4)}
{(4, 1), (8, 2), (12, 3), (16, 4)}
{(4, 1), (4, 2), (5, 3), (5, 4)}
3. {(4, 1), (8, 2), (12, 3), (16, 4)}
If a circle has the diameter of 8, what is the circumference (round to the hundredths place)?
25.13
Miranda can mow her lawn in 3 hours and her brother, Aaron, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
1 hour 12 minutes
1 hour 24 minutes
1 hour 36 minutes
1 hour 48 minutes
2 hours
1. 1 hour and 12 minutes
Unit Circle Dump:
sin-(2/3π) = ___
sec(-5π/4)= ____
cos(arcsin(⅘))= ____
-√3/2
-√2
3/5
What is the sum of the two polynomials: (4x2-3x+5) and (2x2-9x+1)?
6x2-12x+6
What is the point of intersection of 3x - y = 2 an x + y = 6?
(2,4)
A triangle has a perimeter of 50. If 2 of its sides are equal and the third side is 5 more than the equal sides, what is the length of the third side
20
Which of the following equations represents the solution for x in the formula 6x = 21?
x = log21 - log6
x = log21 + log6
x = log6/log21
x = log21/log6
4. x = log21/log6
Solve the equation under the interval:2 sin2θ+ 3 cosθ = 3, where -2π≤θ≤ 0.
θ=-5π/3, -π/3, 0
What is the measure in degrees of an angle that is pi/4 radians?
45o
Use polynomial long division to divide (4x2 + 4x − 3) by (2x − 1), where x ≠ ½
2x + 3
A rectangle is 4 times as long as it is wide. If the length is increased by 4 inches and the width is decreased by 1 inch, the area will be 60 square inches. What were the dimensions of the original rectangle?
4 inches and 16 inches
Which intervals correctly define the domain of f(x) = 1x+4- 2
(-∞,4) and (4,∞)
(-∞,-4) and (4,∞)
(-∞,-4) and (-4,∞)
(-∞,-4) and (-2,∞)
3. (-∞,-4) and (-4,∞)
Consider the function y=3cos[½(x-π). State the amplitude, period, phase shift, and vertical shift from the parent function.
3, 4π, π, none
Mike is packing toy blocks into a crate. If each block is a cube with a side of 6 inches, and the crate is 1 foot high, 2 feet long, and 2 feet wide, how many blocks can Mike fit into the crate?
32
Solve: (3x - 2) / (8-y) + 1/15 = 0
y = 2
y = -0.5
y = 0.5
y = -2
3. y = 0.5
In a quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60° less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.
35o, 70o, 35o, 220o.
What is the solution set of this system of equations?
y - x = 3
x2 - 7y + 31 = 0
{(2,5), (5,2)}
{(2,5), (5,8)}
{(5,8), (8,5)}
{(8,5), (8,8)}
2. {(2,5), (5,8)}
Which ordered pair is in the inverse of the relation given by x^2y+5y=9?
(2,1)
(2,-1)
(1,-2)
(-1,2)
3. (1,-2)
If 40 percent of x is equal to 160 percent of y, what is the value of x/y?
4
x + y ≤ 6 and 2x + 3y > 10. Which one of the following points satisfies both inequalities?
(0,0)
(2,2)
(1,1)
(3,3)
4. (3,3)
Raul is 6 ft tall and he notices that he casts a shadow that’s 5 ft long. He then measures that the shadow cast by his school building is 30 ft long. How tall is the building in feet?
36 feet
What are the roots of the polynomial x3 + 14x2 + 23x - 110
x = 5, x = 2, x = -11
x = -5, x = 2, x = -11
x = -5, x = -2, x = 11
x = 5, x = -2, x = 11
x = -5, x = 2, x = -11
The measure of a certain angle is 25°. What is the corresponding radian measure for the angle?
5π/36
5π/18
5π/9
18/5π
36/5π
1. 5π/36
Jessica opened a bank account that earns 2 percent interest compounded annually. Her initial deposit was $100, and she uses the expression $100(x)t to find the value of the account after t years. Jessica’s friend Tyshaun found an account that earns 2.5 percent interest compounded annually. Tyshaun made an initial deposit of $100 into this account at the same time Jessica made a deposit of $100 into her account. After 10 years, how mcuh more money will Tyshaun’s initial deposit have earned that Jessica’s initial deposit?
$6.11