Algebra I Final (LKMS-Mezines)

Solve the system. y = -5x + 8 y = -2x - 7

(5, -17)

Solve the system. y = 3x - 2 y = 2x + 3

(5, 13)

Determine the expanded form, x-intercept, y-intercept, max/min, and line of symmetry for the equation. y = x(x + 9)

Expanded Form: y = x^2 + 9x X-Intercept: (0, 0) and (-9, 0) y-Intercept: (0, 0) Min: (-4.5, -20.25) Line of Symmetry: x = -4.5

A square has sides of length x centimeters. A new rectangle is made by increasing one dimension by 3 centimeters and decreasing the other dimension by 2 centimeters. Write an expression for the area of the original square and an expression for the area of the new rectangle.

Original: x^2 New: x^2 + x - 6

Estimate the point of intersection. y = 5 y = 10x - 5

(1, 5)

Estimate the point of intersection. y = x + 2 y = -2x + 3

(1/3, 7/3)

Solve the system. y = 2x + 10 y = 3x + 12

(2, 14)

Solve the system. x + y = 10 2x + y = 12

(2, 8)

Solve the system. 4x + 2y = 10 2x - 2y = 14

(4, -3)

Estimate the point of intersection. x = 7 y = -5

(7, - 5)

Estimate the point of intersection. x = 0 y = x + 7

(7, 0)

Solve for h. 5h - 9 = -16 + 6h

h = 7

Solve for x. 4 - 3x + 5 = 6x - 7

x = 2/3

Solve for x. x/4 -4 = 3

x = 28

Solve for x. 12x - 10 + 10x = 56

x = 3

Solve. 2x^2 - 5x - 3 = 0

x = 3/2 x = 1

Solve. x^2 + 6x - 59 = 0

x = 5.2 x = -11.2

Solve. x^2 + 10x + 8 = 0

x = 9.1 x = .88

Solve for x. x + 2 = 26

x = 96

Solve the inequality. 14 < 8x - 2

x > 2

Solve the inequality. 3x + 11 > 32

x > 7

Solve the inequality. 20x - 11 is greater than or equal to 14 + 15x

x is greater than or equal to 5

Solve the inequality. 3x + 20 is greater than or equal to 32

x is less than or equal to 4

Use the distributive property to expand the quadratic expression. (x - 5)^2

x^2 - 10x + 25

Use the distributive property to expand the quadratic expression. (x + 3)(x - 9)

x^2 - 6x - 27

Rewrite the following equations in equivalent y = mx + b form. 2x + 3y + 6 = 0

y = -2/3x - 2

Rewrite the following equations in equivalent y = mx + b form. 150x + 50 y - 25 = 0

y = -3x + 1/2

Rewrite the following equations in equivalent y = mx + b form. -6x - 2y - 3 = 0

y = -3x - 3/2

Write the equation that satisfies the given conditions. Slope: -5 and passes through (-2, 4)

y = -5x - 6

Write the equation that satisfies the given conditions. Slope: 8 y-Intercept: -7

y = -8x - 7

Rewrite the following equations in equivalent y = mx + b form. -5x + 10y + 15 = 0

y = 1/2x - 3/2

Write the equation that satisfies the given conditions. Line passes through (0, -10) and (8, -8)

y = 1/4x - 10

Rewrite the following equations in equivalent y = mx + b form. 4x - 4y + 2 = 0

y = x + 1/2

Solve. k^2 - 12k + 23 = 0

x = 9.6 x = 2.4

Rewrite the following equations in equivalent y = mx + b form. -4x + y = 0

y = 4x

Solve for x. y/-20 = -3

y = 60

Use the distributive property to expand the quadratic expression. (5x + 2)(5x + 2)

25x^2 + 20x + 4

Simplify the expression. x(31 - x)

31x - x^2

Estimate the square root to the nearest tenth. Square root of 17

4.1

Simplify the expression. 42(x + 1)

42x + 42

Evaluate each expression. [5 + (2^3 - 4) x 10]/(3 x 5 + 2 x 3)

5

Find the length of the missing leg if the other leg is 3 and the hypotenuse is the square root of 45.

6

Estimate the square root to the nearest tenth. Square root of 42

6.5

Use the distributive property to expand the quadratic expression. (3x - 5)(2x + 3)

6x^2 - x - 15

Find the slope and y-intercept of the equation. y = -2x + 8

Slope: -2 Y-Intercept: 8

Find the slope and y-intercept of the equation. y = 1/3x - 9

Slope: 1/3 Y-Intercept: -9

Estimate the point of intersection. y = 3x + 6 y = 1/2x - 4

(-4, -6)

Solve the system. y = -x + 9 y = 2x + 30

(-7, 16)

Factor completely. b^2 + 16b + 64

(b + 8)(b + 8)

Factor completely. r^2 + 24r + 144

(r + 12)(r + 12)

-6 x (8-2)^2 + [(3 x 8) - 4^2]

-208

Simplify the expression. 8x - 2x(6 - x)

-4x + 2x^2

Find the length of the missing leg if the other leg is 7 ft. and the hypotenuse is 14 ft.

13.5 ft.

Find the length of the hypotenuse if the length of one leg is 9 and the length of the other leg is 15.

17.5

Estimate the square root to the nearest tenth. Square root of 5

2.2

Find the length of the hypotenuse if the length of one leg is 11 ft. and the length of the other leg is 17 ft.

20.2 ft.

Simplify the expression. 7x(3 + x)

21x + 7x^2

Determine the factored form, x-intercept, y-intercept, max/min, and line of symmetry for the equation. y = x^2 - 5x - 14

Factored Form: y = (x-7)(x+2) X-Intercept: (-2, 0) and (7, 0) y-Intercept: (0, -14) Min: (2.5, -20.25) Line of Symmetry: x = 2.5

Are the following expressions equivalent? 4x + x + 2x and 8x

No

Are the following expressions equivalent? 12 + 8x and 4(3 + 2x)

Yes

Are the following expressions equivalent? 5(x _ 2) and 5x + 10

Yes

Solve for p. -9p - 17 = 10

p = -3

Solve for p. p/-3.4 = -1.3

p = 4.42

Solve for w. 37 - 18 + 8w = 67

w = 6

Solve for x. 4x - 6 + 6x = -36

x = -3

Solve. x^2 + 7x + 15 = 5

x = -5 and x = -2

Solve. x^2 + 14x + 49 = 0

x = -7

Solve for x. 5x + 10 = 14 - 3x

x = 1/2

Solve for x. 6x + 7 - 2x = 3 + 5x - 9

x = 13