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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.... read more

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... read more

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. ... read more

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.... read more

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.... read more

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... read more

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.... read more

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... read more

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.... read more

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... read more

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... read more

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 ... read more

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&... read more

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 ... read more

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