foundations of algebra 7 grade

Question: Draw the graph of y=3. Answer: The graph of y = 3 is a line parallel to the x-axis. ..

2x = 3 (40 - x) 2x = 120 - 3x 5x = 120 the two parts are 24 and 16. Mr.R is seven times as old as his son. 10 years hence, he will be three times as old as his son. Find their ages. Let the son's age be x years. Mr.R's age is 7x years. After 10 years, his son's ..

Now study the equations given below: a) x + 3 + x + 4 = 2x + 7 2x + 7 = 2x + 7 (By simplification) [ \ any value given to 'x' always satisfies the equation] Similarly, b) (3a + 4) + 2 (a - 1) = 5a + 2 i.e., 5a + 2 = 5a + 2 (By simplification) [ \ any value given to 'a'..

(1) 2x 2 -1 = 0 (2) x 2 -5x+7 = 0 The solution to quadratic equations can be found using various techniques. One of them being, graph..

Study the following equations: a) 4x + 2 = 14 b) x - 7 = 5 - 2x c) 3a - 8 = a + 12 The equation 4x + 2 = 14 is true only when x = 3, Similarly, x - 7 = 5 - 2x is true only when x = 4, and 3a - 8 = a + 23 is true only when a = 10. The two expressions (LHS and RHS) are equal only ..

In a given sentence, the variables are replaced by letters and the different operations are replaced by their mathematical symbols. We now arrive at a formula. In a given sentence, the variables are replaced by letters and the different operations are replaced by their mathematical symbols. We n..

Equations of condition - Study the following equations: a) 4x + 2 = 14 b) x - 7 = 5 - 2x c) 3a - 8 = a + 12 The equation 4x + 2 = 14 is true only when x = 3, Similarly, x - 7 = 5 - 2x is true only when x = 4, and 3a - 8 = a + 23 is true only when a = 10. The two expressions (LHS..

x 2 - 7x - 8x + 56 Write -15x as -7x and -8x = x (x - 7) - 8 (x - 7) = (x - 7) (x - 8) Now, we consider a case where the third term of the trinomial is negative. Resolve into factors: x 2 + 3x - 28 Since the third term of the trinomial is -28..