solve the equation 𝑦 = 3 4 𝑥 − 1, algebra homework help

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QUESTION 1 Determine which of the following points lies on the graph of the equation: 1. (0,7) ( 0 , 7 ) 2. (0,6) 3. (0,5) 4. (6,5) 5. (1,5) QUESTION 2 Complete the table. Use the resulting solution points to sketch the graph of the equation. 1. 2. 3. 4. 5. QUESTION 3 Graphically estimate the x- and y- intercepts of the graph: y = x3 - 9x 1. x-intercept: (±3,0),(0,0) y-intercept: (0,0) 2. x-intercept: (3,0),(0,0) y-intercept: (0,0) 3. x-intercept: (-3,0),(0,0) y-intercept: (0,0) 4. x-intercept: (0,±3),(0,0) y-intercept: (0,0) 5. x-intercept (0,3),(0,0) y-intercept (0,0) QUESTION 4 Find the x- and y-intercepts of the graph of the equation y=49-7x 1. x-intercept: (7,0) yintercept: (0,-7) 2. x-intercept: (49,0) yintercept: (0,7) 3. x-intercept: (7,0) y-intercept: (0,-49) 4. x-intercept: (49,0) yintercept: (0,49) 5. x-intercept: (7,0) yintercept: (0,49) QUESTION 5 Determine whether the value of x=7 is a solution of the equation: 1. yes 2. no QUESTION 6 Solve the equation 8-5x=6 1. 2. 3. 4. 5. QUESTION 7 Solve the equation and check your solution. -24x=30 1. 9 2. -11 3. -8 4. 7 5. -10 QUESTION 8 Solve the equation and check your solution. 5y + 1 = 6y - 5 + 8y 1. 2/3 2. 3/2 3. 6/5 4. 5/6 5. -2/3 QUESTION 9 Solve the equation and check your solution. 67x - 24 = 3x + 8(8x-3) 1. 3 2. 67 3. 3 4. 67 5. All real numbers QUESTION 10 Solve the equation and check your solution. 1. 10 2. 6 3. 7 4. 9 5. 8 QUESTION 11 Solve the equation and check your solution. (If not possible, explain why.) 1. 2 2. 5 3. 6 4. 4 5. 10 QUESTION 12 Solve the equation and check your solution. (If not possible, explain why) 1. -18 2. 7 3. 11 4. No solution. The variable is divided out. 5. 20 QUESTION 13 Write the quadratic equation in general form. 4x2 = 8 - 9x 1. 4x2 + 9x + 8=0 2. 4x2 + 9x = -8 3. 4x2 - 9x 8=0 4. -4x2 + 9x 8=0 5. 4x2 + 9x 8=0 QUESTION 14 Solve the quadratic equation by factoring. x2 - 6x + 5 =0 1. -1, 5 2. -1,-5 3. 1,-5 4. 1,5 5. 6,5 QUESTION 15 Solve the quadratic equation by factoring. x2 + 8x + 16 = 0 1. 4 2. -1/4 3. -4 4. ±4 5. 1/4 QUESTION 16 Solve the equation by extracting square roots. (x+6)2 =5 1. 6 + √5 2. -6 ± √5 3. -6 -√5 4. 6 ± √5 5. -6 + √5 QUESTION 17 Use the Quadratic Formula to solve x + 20x + 98 = 0 2 1. x = -8, x = -12 2. 10 x = -√2 - 10, x = √2 – 3. 10 x = -√3 - 10, x = √3 – 4. x = 10, x = -10 5. 9 x = -√2 - 9, x = √2 - QUESTION 18 Write the complex number in standard form. √ -9 1. 3i 2. -3i 3. 9i 4. 4i 5. -9i QUESTION 19 Find real numbers a and b such that the equation is true. a + bi = 14 + 2i 1. a=16, b=4 2. a=18, b=6 3. a=14, b=2 4. a=15, b=14 5. a=17, b=5 QUESTION 20 Find all solutions to the following equation. 1. 17 /4 x=- 2. x=9 3. no solution 4. 17 5. x=x=-8
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Explanations and Answers of the
Equations.

1

Table of Contents
Question 1 ...................................................................................................................................... 3
Question 2 ...................................................................................................................................... 3
Question 3 ...................................................................................................................................... 3
Question 4 ...................................................................................................................................... 4
Question 5 ...................................................................................................................................... 4
Question 6 ...................................................................................................................................... 5
Question 7 ...................................................................................................................................... 5
Question 8 ...................................................................................................................................... 5
Question 9 ...................................................................................................................................... 5
Question 10 .................................................................................................................................... 5
Question 11 .................................................................................................................................... 6
Question 12 .................................................................................................................................... 6
Question 13 .................................................................................................................................... 6
Question 14 .................................................................................................................................... 6
Question 15 .................................................................................................................................... 7
Question 16 .................................................................................................................................... 7
Question 17 .................................................................................................................................... 7
Question 18 .................................................................................................................................... 8
Question 19 .................................................................................................................................... 8
Question 20 .................................................................................................................................... 8

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Question 1
Putting each of the given options on the given equation,
1

(0,7)

2

(0,6)

3

(0,5)

4

(6,5)

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