Structure of Expressions
What factored expression is equivalent to x4 - 12x2 + 36?
What is (x2 - 6)(x2 - 6)?
What is the product of (2x+3) and (4x2 - 5x +6)?
What is 8x3 - 2x2 - 3x + 18?
The length of a rectangular mural is 5 feet more than half its width. The area of the mural is 252 square feet. Write an equation that could be used to find the number of feet in this mural?
What is w(1/2w + 5) = 252?
How do we know if the parabola will be concave up or concave down?
What is we look at the leading coefficient and if it is negative, it is going to be concave down and if it is positive, it is going to be concave up?
The inequality 7 - 2/3x < x - 8 is equivalent to?
What is x > 9?
The expression 1,300(1.015)7 is being used to calculate the amount of money in a savings account. What does 1.015 represent in the expression?
What is 1.5% growth?
What is -4x2 - 6?
Matt has 72 coins in his piggy bank. The piggy bank only contains dimes and quarters. If he has $14.70 in his bank, write an equation to determine the number of quarters he has.
What is 0.10(72-q) + 0.25q = 14.70?
What are the solutions of
f(x) = 3x3 + 21x2 + 36x?
Let f(x) = 2x -4, where the domain is 2 ≤ x ≤ 6. What is the range?
What is 0 ≤ y ≤ 8?
Factor the expression x6 - 49x4 completely
What is x4(x - 7)(x +7)?
If P= 4x2 + 3x -1 and Q= -x2 - 10x + 5, then P - Q equals?
What is 5x2 + 13x - 6?
If a ≠ 0 and the sum of x and 1/a is 0, then x = ?
What is x = -1/a?
What are the x-intercepts of the equation
3x2 + 10x = 8?
What is x= 2/3 and x = -4?
What are the zeros of the function
f(x)= x2 - 13x - 30
What is x= -15 and x=2?
Sherlyn was given $350 when she turned 2 years old. Her parents invested at a 2% interest rate compounded annually. Write an expression to show how much money she has in the account when she turned 18.
What is 350(1 + 0.02)16?
Write an equation, defined as m(x), where m(x) = (3x - 1)(3 - x) + 4x2 + 19
What is m(x) = x2 + 10x + 16?
What is solution to the system below.
{y = 2x + 6}
{4(-2x + y) = 16}
What is no solution?
Use the method of completing the square to determine the vertex of
f(x) = x2 - 14x - 15. What are the coordinates of the vertex?
What is (7,-64)?
What is 120?
Factor completely: 4y2 - 32y - 420
What is 4(y-15)(y+7)?
If C = G - 4F, what is the trinomial that represents C when F= 3x2 + 8x - 6 and G= 2x2 + 4
What is C= -10x2 - 32x + 28?
Solve for x and round to the nearest tenth:
f(x) = 4x2 + 16x + 9
What is x = -0.7 or -3.3?
The function h(t) = -9t2 + 36 represents the height, h(t), in feet, of an object from the ground at t seconds after it is dropped. A realistic domain for this function is..
What is 0 ≤ t ≤ 2?
If the point (K, -6) lies on the line whose equation is 4x + y = 14, then the value of K is?
What is 5?