## Algebra 2: Midterm Exam (study guide)

What is the number of real solutions?
– x² + 9x + 7 = 0
use b^2-4ac

What is the number of real solutions?
8x² – 11x = -3
use b^2-4ac

What is the number of real solutions?
x² = -7x + 7
use b^2-4ac

What is the number of real solutions?
– 4x² – 4 = 8x
use b^2-4ac

What is the expression in factored form?
2x² + 16x + 30
2(x+3)(x+5)

What is the expression in factored form?
– 4x² + 8x + 32
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What is the expression in factored form?
3x² + 26x + 35
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What is the expression in factored form?
9x² – 18x + 9
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What is the expression in factored form?
x² – 64
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What are the solutions of the quadratic equation?
x² – 9x + 18 = 0
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What are the solutions of the quadratic equation?
3x² + 25X + 42 = 0
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What are the solutions of the quadratic equation?
4x² – 18x + 20 = 0
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Solve by using tables. Give each answer to a most two decimal places.
2x² + 5x – 3 = 0
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Solve by using tables. Give each answer to a most two decimal places.
– 7x² – 2 = -10x
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What is the solution of each equation?
3x² = 21
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What is the solution of each equation?
108x² =147
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Solve the equation.
x² + 18x + 81 = 25
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Solve the equation.
x² – 8x + 16 = 16
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Solve the equation.
0.125r – 0.0625 + 0.25r = 0.25 + r
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Solve the equation.
– 5y – 9 = – ( y – 1 )
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Solve the quadratic equation by completing the square.
x² + 10x + 14 = 0
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Solve the quadratic equation by completing the square.
– 3x² + 7x = – 5
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Rewrite the equation in vertex form. Name the vertex and y- intercept.
y = 3/5x² + 30x + 382
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Use the quadratic formula to solve the equation.
– 2x² – 5x + 5 = 0
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Use the quadratic formula to solve the equation.
2x² + x – 4 = 0
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Use the quadratic formula to solve the equation.
– 4 x² + x = – 4
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Simplify the number using the imaginary unit i.
√(-144)
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Simplify the number using the imaginary unit i.
√(-360)
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Simplify the expression.
(-1 + 6i) + ( -4 + 2i)
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Simplify the expression.
(1 + 2i) – (5 + 3i)
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Simplify the expression.
(-5i) (6i)
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Simplify the expression.
(6 – 4i) (-1 + 6i)
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Simplify the expression.
-1+3i
————
4 – i
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Simplify the expression.
-5 +4i
———–
-6i
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What are the solutions?
9x² + 16 = 0
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What are the solutions?
½ x² – x + 5 = 0
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Which algebraic expression models the given word phrase?
40 fewer than a number t
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Which algebraic expression models the given word phrase?
You start with \$15.00 and save \$8.00 each week. What algebraic expression models the total amount you save?
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Write an algebraic model for the situation and evaluate it for the given information?
You are going shopping for some new sweaters, t-shirts, and pants. Sweater (s) cost \$30, t-shirts (t) cost \$19, and pants (p) cost \$18. What algebraic expression models the total cost of the clothes that you buy?
Suppose you bought 26 sweaters, 9 t-shirts, and 23 pairs of pants. How much did you spend?
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Is the relation a function?
{(15, 11), (5, 1), (4,11) ,(9,9),(5,5)}
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What is the slope of the line that passes through the given points?
(-12,12) and (2,4)
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What is the slope of the line that passes through the given points?
(7,-9) and (7,-1)
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What is an equation of the line in slope intercept form?
m = ½ and the y-intercept is (0,-2)
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see graph
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Write the equation in slope intercept form.
What are the slope and y-intercept?
-8x +3x = -10
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Write the equation in slope intercept form.
What are the slope and y-intercept?
¾x + 4/5y = 4
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What is the graph of the equation?
3x – y = 3
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What is the graph of the equation?
-5x + 5y =4
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Write an equation of the line, in point-slope form, that passes through the 2 given points.
points: (-9,4) , (13, -7)
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What is an equation of the line, in point-slope form, that passes through the given point and has the given slope?
point: (9,6) ; slope: 1/3
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