WorksheetsMATH 2 QUADRATICS 1A STUDY GUIDE
Total questions: 19
Worksheet time: 55mins
Directions: Use this study guide to boost your mastery in Unit 1A Quadratics. There is no correct answer choice, instead, follow the steps in how to solve each problem.
Write your work in any type of paper and encircle/highlight your final answer.
The next number is your first question.
A rectangular table is placed on a rectangular mat. The width of the mat is 4 feet greater than the length, x, of the mat. The width of the table is 2 feet less than the width of the mat. The length of the table is 4 feet less than the width of the table. Which function represents the area of the mat not covered by the table?
Show your work draw the actual figure and label. Translate in mathematical equations.
Area means to multiply, once you're done then subtract the two AREAS.
A= 21h(b1+b2) Use the trapezoid to find the expression that represent the area.
Plug in the given to the Area formula of a trapezoid.
B1 and B2 can switch.
What is the product of (3x - 4y)(2x2 - 3xy + 4y2)
Use box method (2 by 3) or
distributive property
Combine like terms and arrange in standard form
Subtract (6x4 - 3x3 + 5x + 10) from (2x3 - x2 + 15x - 9).
Stack them by column according to like terms
Remember to change the sign of the subtrahend then proceed to addition property
Expand 5(x + 3)2 - 9
Expand the binomial first (x+3)(x+3) before multiplying 5 to one of (x+3)
Combine like terms and arrange in standard form
Find the volume of the rectangular box given the lenght of (x+1), width of (x+2) and height of (5x-6).
Multiply the length and the width using a 2 by 2 box method.
Then multiply the product of length and width to its height. Combine like terms and arrange in standard form
Factor 12x2 - 2xy - 4y2
Take out the GCF
Factor the rest by any method (x-game, slide & divide and magic square). Final answer should contain the GCF
Factor: 8x2 - 32.
Take out the GCF
Factor again the left over using difference of squares.
Find the perimeter of a rectangle given an area of 6x2 - 7x - 5.
Perimeter means to add, draw the rectangle and solve the length and the width by factoring using (x-game, slide and divide, magic square)
After solving length and width of rectangle add all the sides to get the perimeter.
Factor: x4 - x3 - 12x2
Take out the GCF
Left over can be factor using any method (x-game, slide & divide and magic square)
Factor: 8xy + 6x - 12y - 9
This is factoring by grouping. Group them by two terms. Take out the GCF.
Combine the left overs and copy the common binomial factor.
Factor: 4x2 - 40x + 100
Factor the trinomial using any methods (x-game, slide and divide and magic square).
Remember to double check the answer, sometimes there is a GCF.
What is the sum of the factors of (x+5)2 = 4
Expand the binomial (x+5) then combine like terms by putting the right equation to zero
Use quadratic formula to find the values of x then add them.
Find the sum of the solutions.
5x2 + 6x - 1 = 0 (use 2 decimal places)
Use quadratic formula.
Add the values of x.
Write the answer in radical form.
x2 - 8x - 4 = 0
Use Quadratic Formula, do not extract the answer in decimal form leave it as radical form.
Great tip, do not use calculator, do it manually.
A square and rectangle have the same area. The length of the rectangle is 7 inches more than twice the length of the side of the square. The width of the rectangle is 4 inches less than the side of the square. Find the width of the side of the rectangle.
Draw the actual figure square and rectangle, then label their area formulas
Make two areas be equal to each other, then combine like terms
A rectangular garden is 60 m by 80 m. Part of the garden is torn up to install a sidewalk of uniform width around the garden. The new garden is two-thirds of the old area. Approximately, how wide is the sidewalk?
Draw the actual figure and label.
Use quadratic formula.
Here is the link of the answer key. Copy the link and paste in google.
https://drive.google.com/file/d/1X5ej1l9RaOdQKgMQwsSZXRqBOdp86tyX/view?usp=sharing
