Exponents
Absolute Values
Quadratics
Complex fractions
Miscellaneous
100
If the number 0.00048 is written in the form 4.8 × 10^n, what is the value of n?
What is -4?
100
The solution set of |x - 3| >5 is?
What is {x >8 or x< -2}?
100
The roots of the equation x² - 10x + 25 = 0 are? 1)Imaginary 2)Real and irrational 3)Real, rational, and equal 4) Real, rational, and unequal
What is real, rational, and equal?
100
In simplest form, √-300 is equivalent to?
What is 10i√3?
100
The measures of two supplementary angles are in ratio of 4:5. Find the number of degrees in the measure of the smaller angle.
What is 80º?
200
If a = 3 and b = −2, what is the value of the expression a^-2/b^-3?
What is -8/9?
200
What is the solution set for the equation |3x+2|=5?
What is {1, -7/3}?
200
What is the negative value of x that satisfies the equation 2x²+5x-3=0?
What is -3?
200
Expressed in a+bi form, 5/3+i is equivalent to?
What is 3/2 - 1i/2?
200
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 43. What would her answer have been had she worked the problem correctly?
What is 15?
300
A used car was purchased in July 2000 for $11,900. If the car depreciates 13% of its value each year, what is the value of the car, to the nearest hundred dollars, in July 2003?
What is $7800?
300
What is the solution set of the inequality |3 - 2x| is greater than or equal to 4?
What is {x|x is less than of equal to -1/2 or x is greater than or equal to 7/2}
300
Solve algebraically for the positive value x, x does not equal 0, and check: 2x+5=1 7 x
What is x=1？
300
What is the midpoint of the segment in the complex plane that has the endpoints 24+10i and 6i?
What is 12+8i?
300
The lengths of the diagonals of a rhombus are 12 and 13. The area of the rhombus is?
What is 78?
400
When x = 7, the value of (x+2)^0 + (x+1)^‾⅔ is?
What is 1.25 or 1 1/4 or 5/4?
400
The inequality |1.5C – 24| ≤ 30 represents the range of monthly average temperatures, C, in degrees Celsius, for Toledo, Ohio. Solve for C.
What is -4 ≤ C ≤ 36?
400
Solve the equation: 8x³+4x²-18x-9=0 algebraically for all values of x.
What is ±3/2 and -1/2?
400
Solve the equation x² =6x -12 and express the roots in simplest a+bi form. Round a and b to the nearest hundredth.
What is 3.00±1.73i?
400
At Jefferson Summer Camp, 60% of the children play soccer, 30% of the children swim, and 40% of the soccer players swim. To the nearest whole percent, what percent of the non-swimmers play soccer?
What is 51%?
500
What is equivalent to the expression [(7²a²b^5)/(7^-1*a^4*b³)]^-1
What is a²/343b²?
500
The heights, h, of the students in the chorus at Central Middle School satisfy the inequality |h-57.5/2| is less than or equal to 3.25, when h is measured in inches. Determine the interval in which these heights lie and express your answer to the nearest tenth of a foot.
What is from 4.3 feet to 5.3 feet?
500
When a baseball is hit by a batter, the height of the ball, h(t), at time t, t> or greater than 0, is determined by the equation h(t)=-16t²+64t+4. For which interval of time is the height of the ball greater than or equal to 52 feet?
What is 1< or equal to t < or equal to 3?
500
In a electrical circuit, the voltage, E, in volts, the current, I, in amps, and the opposition to the flow of current, called impedance, Z, in ohms, are related by the equation E=IZ. A circuit has a current of (3+i) amps and an impedance of (-2+i) ohms. Determine the voltage in a+bi form.
What is V=-7+1i?
500
Every time the pedals go through a 306 º, rotation on a certain bicycle, the tires rotate three times. If the tires are 24 inches in diameter, what is the minimum number of complete rotations of the pedals needed for the bicycle to travel at least 1 mile?
What is 281 complete rotations?
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