Algebra
If 3(3x+5)=2x-8, what is the value of x?
What is -23/7?
Which of the following expressions is equivalent to 2(ab-3)+2?
A) 2ab-1
B) 2ab-4
C) 2ab-5
D) 2ab-8
What is choice B? 2ab-4
Makayla is planning an event in a 5,400 square foot room. If there should be at least 8 square feet per person, what is the maximum number of people that could attend this event?
A) 588
B) 675
C) 15,274D
D) 43,200
What is choice B? 675
A cube has a surface area of 54 square meters. What is the volume, in cubic meters, of the cube?
A) 18
B) 27
C) 36
D) 81
What is choice B? 27
x+y=75
The equation above relates the number of minutes, x, Maria spends running each day and the number of minutes, y, she spends biking each day. In the equation, what does the number 75 represent?
A) The number of minutes spent running each day
B) The number of minutes spent biking each day
C) The total number of minutes spent running and biking each day.
D) The number of minutes spent biking for each minute spent running.
What is choice C? The total number of minutes spent running and biking each day.
If (x,y) is the solution to the given system of equations, what is the value of x?
x - 3y = 7
3y = 9
What is 16?
The function f is defined as shown. What is the value of f(20)?
f(x)=(x+0.25x)(50-x)
A) 250
B) 500
C) 750
D) 2,000
What is choice C? 750
Water flows from a pipe at a rate of 6 gallons per minute. How many gallons of water will flow from the pipe in 8.4 minutes?
What is 50.4 gallons?
The length of one side of square M is 5 times the length of one side of square N. The area of square N is 361 square centimeters. What is the area, in square centimeters, of square M?
What is 9,025?
x^2+6x+4
Which of the following is equivalent to the expression above?
A) (x+3)^2 + 5
B) (x+3)^2 - 5
C) (x-3)^2 +5
D) (x-3)^2 - 5
What is choice B? (x+3)^2 - 5
On Monday, Jao walked a total of 11,400 steps. On Tuesday, Jao has a goal to walk at least 1,500 more steps than he did on Monday. What is the least number of steps Jao could walk on Tuesday to meet his goal?
What is 12,900?
What is the positive solution to the given equation?
x^2+6x+9=36
What is 3?
A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is created by adding 7 to each number in the original data set that is greater than the median and subtracting 7 from each number in the original data set that is less than the median. Which of the following measures does NOT have the same value in both the original and new data sets?
A) Median
B) Mean
C) Sum of the numbers
D) Standard deviation
What is choice D? Standard deviation
Triangle KLM is similar to triangle QRS, where angle K corresponds to angle Q and where angles L and R are right angles. If sin K = 105/233 and sin M = 208/233, what is the value of tan S?
What is 1,981?
A company that makes wildlife videos purchases camera equipment for $32,400. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?
A) $10,800
B) $16,200
C) $21,600
D) $29,700
What is choice C? $21,600
ax=5
In the given equation, a is a constant. For which of the following values of a will the equation have no solution?
a) 0
b) 1
c) 5
d) 10
What is choice A? 0
A) 9
B) 18
C) 27
D) 54
What is choice A? 9 meters.
A sample of 40 fourth-grade students was selected at random from a certain school. The 40 students completed a survey about the morning announcements, and 32 thought the announcements were helpful. Which of the following is the largest population to which the results of the survey can be applied?
A) The 40 students who were surveyed
B) All fourth-grade students at the school
C) All students at the school
D) All fourth-grade students in the county in which the school is located.
What is choice B? All fourth-grade students at the school.
Line L is parallel to line m. Points A and B lie on line L and points P and Q lie on line m. If angle ABP and angle QAB each have a measure of 21 degrees and angle AQB has a measure of 76 degrees, what is the measure of angle PAQ?
What is 62?
Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first ten hours he worked this week. Because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work for the rest of the week to save at least $270 for the week?
A) 38
B) 33
C) 22
D) 16
What is choice C? 22
kx-3y=4 and 4x-5y=7
In the given system of equations, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?
A) 12/5
B) 16/7
C) -16/7
D) -12/5
What is choice A? 12/5
g(x)=(5-2x)(14+2x)
The function g is defined by the given equation. For what value of x does g(x) reach its maximum?
What is -9/4?
The positive number a is 210% of the number b, and a is 30% of the number c. If c is p% of b, what is the value of p?
What is p = 700?
x^2 + (y+1)^2 =4
The graph of the given equation in the xy-plane is a circle. A new circle is drawn whose center is 1 unit up from this circle and whose radius is 1 more than this circle. Which of the following is an equation of this new circle?
A) x^2+y^2=5
B) x^2+y^2=9
C) x^2+(y+2)^2=5
D) x^2+(y+2)^2=9
What is choice B? x^2+y^2=9
ax^3+bx^2+cx+d = 0
In the equation above, a, b, c, and d are constants. If the equation has roots -1 and -3, and 5, which of the following is a factor of ax^3+bx^2+cx+d?
A) x - 1
B) x+1
C) x - 3
D) x+5
What is choice B? x+1