Polynomials and Exponents
What is the degree of the polynomial 2x + x3 + 5 x 2?
(1) 1
(2) 2
(3) 3
(4) 4
(3)
What is the solution to -3(x-6)>2x-2?
(1) x>4
(2) x<4
(3) x>-16
(4) x<-16
(1)
Skyler mows lawns in the summer. The function f(x) is used to model the amount of money earned, where x is the number of lawns completely mowed. A reasonable domain for this function would be
(1) real numbers
(2) rational numbers
(3) irrational numbers
(4) natural numbers
(4)
A line has a slope of 4 and passes through the point (2,7). What is the equation of the line in slope-intercept form?
y = 4x -1
Solve the system:
x + y = 10
x - y = 4
Find the values of x and y.
(7,3)
The expression (3x2+4x-8)+2(11-5x) is equivalent to
(1) 3x^2 - x + 5
(2) 3x^2 - x + 14
(3) 3x^2 - 6x + 14
(4) 3x^2 + 14x + 14
(2)
During summer vacation, Ben decides to sell hot dogs and pretzels on a food cart in Manhattan. It costs Ben $0.50 for each hot dog and $0.40 for each pretzel. He has only $100 to spend each day on hot dogs and pretzels. He wants to sell at least 200 items each day. If h is the number of hot dogs and p is the number of pretzels, which inequality would be part of a system of inequalities used to determine the total number of hot dogs and pretzels Ben can sell?
(1) h + p ≤ 200
(2) h + p ≥ 200
(3) 0.50h + 0.40p ≥ 200
(4) 0.50h + 0.40p ≤ 200
(2)
Given the function f(x) = 6x - 11 find the value of x when f(x) = 43
x = 9
A linear function passes through the points (3,11) and (7,23). Find the equation of the linear function in slope-intercept form.
y = 3x + 2
Solve the system:
2x + y =13
3x - y =12
Find the values of x and y.
(5,3)
When the expression 2x(x-4)-3(x+5) is written in simplest form, the result is
(1) 2x^2 - 11x - 15
(2) 2x^2 - 11x + 5
(3) 2x^2 - 3x - 19
(4) 2x^2 - 3x + 1
(1)
Solve for x:
4(2x - 3) + 5 = 3x + 18
x = 5
When given the function f(x) = 5x -12 find the value of x when f(x) = 28
x = 8
A linear function passes through the points (-2,7) and (4,-11). Find the equation of the line in slope-intercept form.
y = -3x + 1
Solve the system:
3x + 2y = 16
x - y = 2
Find the values of x and y.
(4,2)
Simplify and write your answer in standard form:
(3x2 + 5x - 2) + (2x2 - 7x + 6)
5x2 - 2x + 4
Solve the inequality for x:
6(2x - 5) - 3(x + 4) ≤ 4x + 9
x ≤ 51/5
Given the function f(x) = 2x2 - 5x + 3 find f(4).
The answer is 15
A line has a slope of -3 and passes through the point (5,-7). Find the equation of the line in slope intercept form.
y = -3x + 8
Solve the system:
5x + 2y = 24
3x - y =10
Find the x and y values.
(4,2)
What is the degree of the polynomial:
7x4 - 3x2 + 9x6 - 5x3 + 12
(1) 4
(2) 5
(3) 6
(4) 9
(3)
Solve the equation for x:
7(3x - 4) - 5(2x + 9) = 4(2x - 7) + 3x - 11
The equation has no solution
When given f(x) = 2(x - 3)2 + 5 find the value of x if f(x) = 5
x = 3
A linear function has a y-intercept of -7 and passes through the point (6,17). The function then shifted 4 units to the left and 5 units downward. What is the new equation of the new function in slope-intercept form.
y = 4x + 4
solve the system:
7x + 4y = 30
5x - 3y = 16
Find the x and y values.
(2,4)