Name: 
 

Algebra II - Semester 1 -practice



The following state indicators are tested: A1.2.1, A1.2.2, A1.2.4, A1.4.4., A2.1.2, A2.1.3, A2.2.2, A2.3.3, and A2.3.4.

Multiple Choice

Identify the letter of the choice that best completes the statement or answers the question.
 
 
Which number is a solution of the inequality?
 

 1 

mc001-1.jpg
A
2
B
mc001-2.jpg
C
mc001-3.jpg
D
mc001-4.jpg
 

 2 

Which graph represents the following system of equations?
y = –x + 2
y = 3x – 2
A
mc002-1.jpg
C
mc002-3.jpg
B
mc002-2.jpg
D
mc002-4.jpg
 

 3 

Which is the graph of mc003-1.jpg?
A
mc003-2.jpg
C
mc003-4.jpg
B
mc003-3.jpg
D
mc003-5.jpg
 

Short Answer
 

 4 

Solve the formula for area of a trapezoid mc004-1.jpg for h.
 
 
Factor the expression.
 

 5 

mc005-1.jpg
 

 6 

mc006-1.jpg
 

 7 

mc007-1.jpg
 

 8 

mc008-1.jpg
 
 
Solve the system using elimination.
 

 9 

6x + 3y = –12
6x + 2y = –4
 

 10 

The length of a rectangle is 6 centimeters less than twice its width. The perimeter of the rectangle is 36 cm. What are the dimensions of the rectangle?
 

 11 

Find the point-slope form of the equation of the line passing through the points (1, 0) and (–7, 6).
 

 12 

Let mc012-1.jpg and mc012-2.jpg. Find mc012-3.jpg and its domain.
 
 
Solve the inequality. Graph the solution set.
 

 13 

5(2b – 4) < –31 + 10b
 

 14 

–3 + 5k £ –18
 

 15 

Solve the equation for a.
mc015-1.jpg
 
 
Write in standard form an equation of the line passing through the given point with the given slope.
 

 16 

slope = –12; (–5, –4)
 
 
Find the slope of the line.
 

 17 

x = a
 

 18 

mc018-1.jpg
 

 19 

Graph the equation mc019-1.jpg by finding the intercepts.
 

 20 

For mc020-1.jpg, mc020-2.jpg.
 
 
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
 

 21 

mc021-1.jpg
 

 22 

Solve by factoring.
mc022-1.jpg = 0
 

 23 

Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the formula mc023-1.jpg, where x is the number of units produced per week, in thousands.
a.How many units should the company produce per week to earn the maximum profit?
b.Find the maximum weekly profit.
 

 24 

John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $10.50. After using a $6.00 gift certificate, they spend a total of $11.50. Write an equation to model this situation, and find the cost of one large drink.
 

 25 

Let mc025-1.jpg and mc025-2.jpg. Find mc025-3.jpg.
 
 
Solve the equation by finding square roots.
 

 26 

mc026-1.jpg
 

 27 

Let mc027-1.jpg and mc027-2.jpg. Find mc027-3.jpg and its domain.
 

 28 

Use vertex form to write the equation of the parabola.
mc028-1.jpg
 

 29 

Let mc029-1.jpg and mc029-2.jpg. Find f(g(x)) and g(f(x)).
 
 
Solve the equation.
 

 30 

mc030-1.jpg
 

 31 

mc031-1.jpg
 

 32 

mc032-1.jpgx – 9 = –3
 
 
Find an equation for the line:
 

 33 

through (–7, –7) and parallel to y = mc033-1.jpgx + 2.
 

 34 

Graph the equation mc034-1.jpg.
 

 35 

Sirus wrote a check for $67. He subtracted that amount from his account balance and found that the balance was $329 after writing the check. Write and solve an equation to find his balance before writing the check.
 
 
Identify the vertex and the axis of symmetry of the parabola. Identify points corresponding to P and Q.
 

 36 

mc036-1.jpg
 
 
Solve the inequality. Then graph your solution.
 

 37 

–4g < –12
 
 
Find the slope of the line through the pair of points.
 

 38 

mc038-1.jpg
 

 39 

Suppose mc039-1.jpg and mc039-2.jpg.
Find the value of mc039-3.jpg.
 
 
Solve the system of equations using substitution.
 

 40 

y = 3x + 2
y = 2x + 6
 



 
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