Regents Prep: Math A Multiple-Choice Questions
Regents Prep Math A: Topical Multiple-Choice Question Archive
Use of Topical Archive Multiple-Choice Questions
 Teachers: Feel free to copy and paste any of the multiple-choice questions below for use in creating your own Regents-style assessments. Graphics are easily downloaded by right-clicking on the desired image and selecting either Save Picture As... (Internet Explorer) or Save Image As... (Netscape).

Patterns & Functions: Question 1 of 20
 The larger root of the equation (x+4)(x-3) = 0 is -4 -3 3 4 Correct Answer Number: 3 Explanation: To determine the roots, set each of the factors = 0. This will give (x+4)=0 and (x-3)=0. Now, solve each equation for x and you will get x = -4 and x = 3. The larger root is 3. More Information

Patterns & Functions: Question 2 of 20
 What is the slope of the line whose equation is 3x-4y-16=0? 3/4 4/3 3 -4 Correct Answer Number: 1 Explanation: Re-writing the equation in "y=" form gives y=(3/4)x-4. When an equation is in "y=" form, the slope is the number in front of the x. More Information

Patterns & Functions: Question 3 of 20
 If 12x = 4(x + 3) then x equals 1.5 3/8 5 12/11 Correct Answer Number: 1 Explanation: Distribution gives us 12x = 4x + 12. Subtracting the 4x from both sides leaves 8x = 12. Dividing both sides by 8 gives an answer of x = 12/8 = 1.5

Patterns & Functions: Question 4 of 20
 If you multiply an inequality by a negative number, when should you reverse the inequality symbol? Always Never Sometimes Only when the negative number is a fraction. Correct Answer Number: 1 Explanation: Whenever you multiply (or divide) an inequality by a negative number, you MUST reverse the direction of the inequality symbol. More Information

Patterns & Functions: Question 5 of 20
 Which of the following is the equation of a line with a slope of 0 and passing through the point (4,6)? x = 4 x = - 4 y = 6 y = - 6 Correct Answer Number: 3 Explanation: You know a point and the slope. The point-slope method of writing the equation of a line can be used. The equation is y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line. Substitution gives: y-6=0(x-4). This yields: y-6=0. And finally we get: y=6. More Information

Patterns & Functions: Question 6 of 20
 What is the slope of a line passing through the points (3,5) and (-2,6)? -1/5 -1 -5 11/5 Correct Answer Number: 1 Explanation: Slope is the change in the y coordinates over the change in the x coordinates. (5-6)/(3-(-2)) = (-1)/5 More Information

Patterns & Functions: Question 7 of 20
 What is the equation of a line passing through the points (1,2) and (-2,5)? y = x + 3 y = - x + 3 y = (7/3) x + 1 y = 3x + 3 Correct Answer Number: 2 Explanation: You must first determine the slope, which is - 1. Then use the formula for the point-slope method of writing equations of lines. y-y1=m(x-x1) Substitution gives y-2= -1(x-1). Solving for "y=" gives y = - x + 3. More Information

Patterns & Functions: Question 8 of 20
Which set of points is in the solution set for the following system of inequalitites?

# x - y > 1 y < 2x - 1

1. (-1, - 1)
2. (-2, -1)
3. (0, - 1)
4. (0, - 2)

Explanation: You can graph this system of equations and see which point is in the solution set (which will be the overlapping shaded regions). Or you can simply substitute each answer into BOTH equations to see which answer makes BOTH inequalities true.

Patterns & Functions: Question 9 of 20
 Solve for c: 5c - 4 - 2c + 1 = 8c + 2 1 2 -1 -2 Correct Answer Number: 3 Explanation: 5c - 4 - 2c + 1 = 8c + 2 3c -3 = 8c + 2 -3 = 5c + 2 -5 = 5c -1 = c More Information

Patterns & Functions: Question 10 of 20
 Solve: 2x - 5 > x - 2 x < 3 x > 3 x < -5 x > -2 Correct Answer Number: 2 Explanation: 2x - 5 > x - 2 x - 5 > -2 x > 3 (the inequality sign changes directions only when you multiply or divide) More Information

Patterns & Functions: Question 11 of 20
 Solve for y: y²-81=0 {-1,1} {9} {-9,9} {81} Correct Answer Number: 3 Explanation: Factor the difference of squares. (y-9)(y+9)=0 y-9=0 and y=9 y+9=0 and y=-9 More Information

Patterns & Functions: Question 12 of 20
 What is the slope of the line 3x + 2y = 12? 3 3/2 -3/2 2 Correct Answer Number: 3 Explanation: Rewrite in y=mx+b form: 3x + 2y = 12 y=(-3/2)x+6 slope is the value in front of x. More Information

Patterns & Functions: Question 13 of 20
 Which of the following equations of a circle has center at (1,-3) and radius of 5? x² + y² = 25 (x-1)² + (y+3)² = 25 (x-1)² + (y-3)² = 25 (x+1)² + (y - 3)² = 25 Correct Answer Number: 2 Explanation: The formula is (x-h)² + (y-k)² = r² Be careful. The center coordinates are always subtracted from x and y. When you subtract a -3 it becomes a +3. More Information

Patterns & Functions: Question 14 of 20
 What are the coordinates of the center of this circle? (x+3)² + (y-5)² = 16 (3,5) (-3,5) (-3,-5) (3,-5) Correct Answer Number: 2 Explanation: Be careful! The (x+3) really shows a center coordinate of negative 3. More Information

Patterns & Functions: Question 15 of 20
 What is the equation of the axis of symmetry of the graph y = 3x² + 12x - 2 ? x = -2 x = 2 y = -2 y = 2 Correct Answer Number: 1 Explanation: There is a formula for finding this equation without graphing the parabola. Axis of symmetry is x=-b/(2a). So we have x=(-12)/(2)(3)=-2

Patterns & Functions: Question 16 of 20
 Solve for x: 0.7x + 2(x-3)=0.2x + 3 2.5 3.5 3.6 4.5 Correct Answer Number: 3 Explanation: 0.7x + 2(x-3)=0.2x + 3 0.7x + 2x - 6 = 0.2x +3 2.7x - 6 = 0.2x + 3 2.5x - 6 = 3 2.5x = 9 x=3.6 More Information

Patterns & Functions: Question 17 of 20
 Which of the following is the equation of a line that has a slope of zero and passes through the point (2,5)? x=2 x=-2 y=5 y=-5 Correct Answer Number: 3 Explanation: y-y1=m(x-x1) gives y-5=0(x-2) y-5=0 and y=5 More Information

Patterns & Functions: Question 18 of 20
 A horizontal line has a slope of 0 1 -1 undefined Correct Answer Number: 1 Explanation: A horizontal line has "run" but no "rise". Thus rise/run becomes 0/run which is zero. More Information

Patterns & Functions: Question 19 of 20
 Solve for m: 8(m + 5) = 16 11/8 -11/8 3 -3 Correct Answer Number: 4 Explanation: 8(m + 5) = 16 gives 8m + 40 = 16 8m = -24 and m = -3 More Information

Patterns & Functions: Question 20 of 20
 Which is the correct slope of the line through (-2,3) and (4,-5)? -4/3 -3/4 4/3 -1/3 Correct Answer Number: 1 Explanation: Slope is (Change in y values)/(Change in x values). (-5-3)/(4-(-2)) = -8/6 = -4/3 More Information

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