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SAT Mathematics - Pre SAT Math - Algebra and Functions - Linear Equations and Inequalities - Study ref# 462
Solve: 4z + 9 = -3z - 5. Answer: 4z + 9 = -3z - 5 Or 4z + 3z = -5 - 9 Or 7z = -14 Or z = -14/7 Or z = -2....
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Linear Equations and Inequalities - Study ref# 463
Samuel’s age 13 years ago is half his age 13 years later. Find his present age. Answer: Let Samuel’s present age be = x years Samuel’s age 13 years ago = (x - 3) years Samuel’s age 13 years later = (x + 13) years According to the probl...
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Linear Equations and Inequalities - Study ref# 464
If 5x + 3 = 2x – 9, find the value of x. Answer: 5x + 3 = 2x - 9 5x - 2x = -9 - 3 3x = -12 x = -12/3 x=-4. ...
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Linear Equations and Inequalities - Study ref# 465
If – 6x2 + 5x – 7 = 7x + 2 + 3x2 – 9x2, find the value of x. Answer: - 6 x^2 + 5x - 7 = 7x + 2 + 3x^2 - 9x^2 -6x^2 + 5x - 7 = 7x + 2 - 6x^2( -6x^2 cancells out) 5x - 7x = 2 + 7 -2x = 9 x = -9/2....
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Linear Equations and Inequalities - Study ref# 466
If 7(y + 6) = 77, what is the value of y? Answer: First use the distributive property To get: 7y + 42 = 77 7y = 77 - 42 7y = 35 y = 5....
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Linear Equations and Inequalities - Study ref# 467
If 4.6x + 2 = 4.3, what is the value of x? Answer: 4.6x + 2 = 4.3 4.6x = 4.3 -2 4.6x = 2.3 x = (2.3)/(4.6) x = ½...
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Linear Equations and Inequalities - Study ref# 468
What is the greatest integer value of p for which 4p – 40 < 0? Answer: 4p - 40 < 0 4p < 40 p < 10 P must be less than 10, and an integer, so the greatest value is 9....
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Linear Equations and Inequalities - Study ref# 469
If 7x - 5y > 13, what is the equation of the line in y = mx + b format? Answer: In order to convert it to y = mx + b( where m = slope, b = y-int), isolate y. -5y > 13 -7x y< (13 -7x)/(-5) ( Notice how the sign changes from > t...
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Linear Equations and Inequalities - Study ref# 470
Solve:+5<-3 Answer: x/3 + 5 < x/5 -3 x/3 - x/5 < -3 -5 (5x - 3x)/15 < -8 2x/15 < -8x < -8 * (15/2)x < -4 * 15 x < -60....
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Linear Equations and Inequalities - Linear Equations and Inequations - Study ref# 36
Equations occupy an important part in algebra. Algebra is incomplete without equations. Hence, to overcome hurdles in algebra we must be thorough with equations. Hence we shall learn about equations now. Before we actually get to the topic, we need t...
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Quadratic Equations and Functions - Quadratic Equations and Functions - Study ref# 38
We have been dealing with linear equations till now. A linear equation has variables whose highest power is one. Linear equations with one variable have one solution. Linear equations with two variables may have a unique solution, no solution or infi...
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Rational and Radical Equations - Study ref# 489
Solve : (2x -1 ) / (x +1) = 3 Answer: If x + 1 was not present in the denominator then the given equation would have been a linear equation. To get rid of x + 1 we multiply both sides of the equation with x + 1, (2x -1 ) / (x +1) * (x ...
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Rational and Radical Equations - Study ref# 491
Solve : √(3x - 3) = 5 Answer: Here we must get rid of the square root to make it a simple linear equation. This can be done by squaring both sides of the equation. Now squaring both sides of the equation we have ( √(3x -3)2 52&...
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SAT Mathematics - Pre SAT Math - Algebra and Functions - Rational and Radical Equations - Rational and Radical Equations - Study ref# 39
We have learnt about linear equations and we can solve them using various methods. Linear equations can be in different forms. They make be like normal linear equations. There are some special forms of linear equations such asRational equations ...
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