Solving literal equations
The formula for finding the perimeter, P, of a rectangle with length, l, and width, w, is given:
P = 2l + 2w
Which formula shows how the length of a rectangle can be determined from the perimeter and the width?
A.) l = ------- - 2w C.) l = ----- + w
P - 2w P - 2
B.) l = --------- D.) l = ---------
The ordered pairs (20, -29.5), (21, -31), and (22, -32.5) are points on the graph of a linear equation.
Which of the following graphs show all of the ordered pairs in the solution set of this linear equation?
Which factorization can be used to reveal the zeros of the function
f(n) = -12n² - 11n + 15?
A.) f(n) = -n(12n + 11) + 15
B.) f(n) = (-4n + 3)(3n + 5)
C.) f(n) = -(4n + 3)(3n + 5)
D.) f(n) = (4n + 3)(-3n + 5)
Which graph best describes the solution to this set of inequalities?
x + y ≤ 6
x + 2y ≤ 8
Justify a solution of an equation
Which points are on the graph of the equation -3x + 6y + 5 = -7 ?
Select all that apply.
Understanding function notation
The graph of the function f(x) = -1 + 0.5x is shown on the coordinate plane.
For what value of x does f(x) = 0?
Graph a function and identify intercepts
Which graph represents the equation 5y - 3x = -15?
Find the equation that is equivalent to the quadratic equation shown.
x² - 6x - 27 = 0
A.) x(x - 3) = 27
B.) (x - 6)² = 63
C.) (x - 3)² = 36
D.) (x - 3)² = 28
Add, subtract, and multiply polynomials
An expression is shown
-3a(a + b - 5) + 4(-2a + 2b) + b(a + 3b - 7)
Which expression is equivalent to the expression shown?
A.) -11a² + 3b² - 2ab + 7a + b
B.) -11a² + 3b² - 4ab + 7a = b
C.) -3a² + 3b² - 2ab + 7a + b
D.) -3a² + 3b² - 4ab + 7a + b
Algebra 1 State Test Practice Archives