# Algebra 2: Midterm Exam (study guide)

### 50 terms by korzelius Plus

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use b^2-4ac

use b^2-4ac

use b^2-4ac

use b^2-4ac

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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Example: