Algebra Questions

A jogging track has a length of 1496 yards yd How long is this in miles mi First fill in the blank on the left side of the equation using one of the ratios Then write your answer on the right side of the equation Ratios 1 ft 12 in 1496 yd 12 in 1 ft 1 mi 5280 ft 0 5280 ft 1 mi 1760 yd 1 mi 1 mi 1760 yd ft 00 X yd in S mi

3 Using the table of values find the following 9 4 X f x a f 3 c f 8 0 1 e If f x 9 what is x g If f x 0 what is x 8 4 P A 3 2 9 3 2 b f 20 d f 1 f If f x 4 what is x h If f x 5 what is x 5 8 20 0

olve the equation For an equation with real solutions support the answer graphically x 8x 9 ewrite the equation in factored form E x 9 x 1 0 Factor completely he solution set is Type an integer or a simplified fraction Type an exact answer using radicals and i as needed Use a c eparate answers as needed

For the equation 5w 23 w 12 0 determine the appropriate substitution and write the equation in the form au bu c 0 The appropriate substitution is u The equation with substitution is Tyne an equation in terms of u

Describe how the graph of the function can be obtained from one of the basic graphs g x x 5 7 Start with the graph of h x x Shift it units Then reflect it across the and shift it units

Find a polynomial f x of degree 3 with real coefficients and the following zeros 4 2 i f x

Simplify 6w 8w 2 21 16w 0

Given that f x x 6 match the function g with a transformation of f g x x 4 6 What is the transformation O A g x f x 4 OC g x f x 4 O E g x 4f x O B g x f 4x O D g x f x 4 OF g x f x 4

By transforming each point on f x determine the resulting set of ordered pairs that define g x f x 4 Submit your answer is the form a b Do Not use any spaces in your answers Point 2 5 transforms to Point 0 4 transforms to Point 1 3 transforms to

The heights of a ball after t seconds when thrown straight up with an initial speed of 70 feet per second from an height of 5 feet can be modeled by the equation s 16t 70t 5 a When will the height of the ball be 40 feet b When will the height of the ball be 70 feet c Will the ball ever reach a height of 130 feet a The height of the ball will be 40 feet after approximately seconds Use a comma to separate answers as needed Round to the nearest tenth as needed b The height of the ball will be 70 feet after approximately seconds Use a comma to separate answers as needed Round to the nearest tenth as needed c Will the ball ever reach a height of 130 feet Choose the correct answer below O A Yes because both solutions of the equation when s 130 are irrational O B No because one of the solutions of the equation when s 130 is negative O C No because both solutions of the equation when s 130 are rational

Zero is the smallest integer True False

sting for Symmetry Graphically In Exercises 23 and 24 test the graph for symmetry with respect to the given axis or the origin 23 Origin 0 0 14 412 2 2 244 2 2 4 4 24 y Axis 4 2 1 2 2 6 1 0 4 6 2 2 3 6

Use a vertical format to find the product x 3x 6 4x 8

Ive the following equation using the quadratic formula 2 5x 3x 2

To help with her retirement savings Jina has decided to invest Assuming an interest rate of 3 47 compounded quarterly how much would she have to to have 147 200 after 20 years Do not round any intermediate computations and round your final answer to the nearest dollar If necessary refer to the list of financial formulas sm

Tony is going to invest to help with a down payment on a home How much would he have to invest to have 36 800 after 10 years assuming an interest rate of 1 61 compounded monthly Do not round any intermediate computations and round your final answer to the nearest dollar If necessary refer to the list of financial formulas

Solve 8 sin n 7x x 3 for the four smallest positive solution

Thus 1 1 2 s 3yo s ds 1 8ds 81 1 y 1 2 s y s ds 2 f s 2 ds 2 2t 2 x 1 L3 1 8r 1 21 2 Next x 1 1 2x s 3y s ds 1 8 11 8 1 Y 1 2 f s y s ds 2 2 1 3 1 2 21 3 2 2 1 8 2 25 2 3 ds dr 3 2 21 2 6 2

A C b 2 21 30 O C sin 21 30 OD sin 21 30 cos 21 30 a C 6 What is the length of c in the right angle triangle shown O A sin 21 30 O B 2cos 21 30

Write the interval notation for this compound inequality Explain why parenthesis brackets etc Lesson 1 05 x 4 or x 8

For the function below a find the vertex b find the axis of symmetry c determine whether there is a maximum or a minimum value and find that value and d graph the function 2 f x x 4x 5 a The vertex is 2 1 Type an ordered pair using integers or fractions b The axis of symmetry is x 2 Type an equation Use integers or fractions for any numbers in the equation c Does f x have a maximum or a minimum value The parabola has a minimum value The parabola has a maximum value The minimum maximum value is Type an integer or a fraction 10 8 6 4 Ay 10 8 6 4 2 2 4 6 8

2 Anton 10 B i Mostres a 10 10 x x 8x 13 KOCAELO swyckel CERNISERI KAGAME DRE NT PETER BARE MA SAAN MAINE BAGES SEMENTAREDIMIES HERBERA COMPRUERENT THESTATE 11 11 3x x 1

f x 5 4 3 2 N 1 4 3 2 1 0 1 2 1 2 ge of the piecewise function above 3 4 X

8 Describing end behavior Sketch the graph of each function 8 y x 4x 8 24 T

7 4 1

2x 8 x 2 f x x 3 2 x 3 x 3 Evaluate f 3 in the piecewise function above Evaluate f 2 in the piecewise function above Evaluate f 1 in the piecewise function above Dovers x 3

Given the following function a find the vertex b determine whether there is a maximum or a minimum value and find the value c find the range and d find the intervals on which the function is increasing and the intervals on which the function is decreasing f x 4x 4x 3 a The vertex is Type an ordered pair using integers or fractions

Use the graph of the quadratic function f x a x h k to find the vertex axis of symmetry and the minimum or maximum value of the function The vertex is Type an ordered pair B 10 Ay V 6 10 10 G

Consider the quadratic function below and a find the vertex b find the axis of symmetry c determine whether there is a maximum or a minimum value and find that value and d graph the function f x x 14x 48 a The vertex occurs at Type an ordered pair using integers or fractions 10 8 6 2 8 6 4 2 2 4 64 8

9 Graph the system of inequalities Show at least two points for each inequality Lesson 1 08 E and and and y 2 5x y x 4 1 y s 3 x 10 8 6 4 2 10 8 CO 6 4 2 24 6 8 2 nch 4 6 8 10

1 8 5 4x 6w 2 9 th 8b 3 7f 6 5b 2 8 20 X 4 w 9 b q k 4 4 3x 7 6 5c 5 8 6 55 92 7 7 66 h 3 f 7 C 7 X 9 2 9 S 3 h 7 b 7 r s b 6

10 8 6 4 2 10 8 6 4 2 8 2 0 2 8 8 5 1

4 Plot the inequality on the number line Explain why you chose those endpoints and its locations Lesson 1 05 1 x 0 9 or x 1 1 0 2

6 Solve for x Lesson 1 06 1 6x 10 8 orx 6 12

By completing this practice test you will earn 10 points All of your practice tests for the semester total to 10 of your grade in this class You MUST do the following to earn the points Show all work answers and explanations that we go over in class Handwrite everything no typing Submit as one document Word or PDF 1 What is the solution to the system of linear equations Lesson 1 02 6x y 14 2x y 2

To solve inequalities involving subtraction use the Addition Property of Inequality homi Solve the inequality Check to justify your answer Then write the solution set S using words 1 n 4 10 n 4 4 10 4 n 6 Check 6 4 10 10 10 S numbers less than or equal to 6 4 3 h 31 2 9 b 45 5 13 k 8 Combine terms to solve Check to justify your answer Then write the solution set S using words 7 8 2 t 8 8 6 5 g 1 6 t 8 6 6 t 8 6 t 2 S numbers greater than 2 10 4 p 2 1 11 22 t 3 1 3 x 4 11 6 24 f 6 9 5 j 2 4 12 1 b 10 2

Use the table below to write the traditional Chinese numer Hindu Arabic numeral Hindu Arabic Numerals 1 2 3 5 5 Traditional Chines Numerals 10 B 14 K to 40

Graph the equation Select integers for x 3 x 3 y x 2 146 1

1 The point 15 8 is on the graph of y f x Find the corresponding point on the graph of y g x where g x f x The corresponding point on the graph of y g x is Simplify your answer Type an ordered pair

Graph the linear function using the slope and y intercept y x 3 10

The point 16 12 is on the graph of y f x Find the corresponding point on the graph of y g x where g x f x The corresponding point on the graph of y g x is Simplify your answer Type an ordered pair

Solve the equation Be sure to check your proposed soluti substituting it for the variable in the given equation 5 3x 2 2 2x 2 3x 26 O 4 O 2 O 7 O 4 by

olve the problem A club has 42 male members and 35 female members If the club is t have a contest where there are all male and all female teams competing what is the most members a team can have All teams must be of equal size and everyone must be on a team O 210 07 O 42 35

Find the greatest common divisor of the num 268 and 670 O 670 O 268 O 134 1340

Use the table below to write the Mayan numeral as a Hindu Arabic numeral 5 10 15 6 11 16 O 19 O 10 7 O 14 12 17 3 8 13 18 g 14 19

Use divisions to convert the base ten numeral to given base 359 to base two O 101011111two O 101100101two O 101100111two 1011two

Add in the indicated base 30 five 343 five O 1440 five O 1240 five O 124 five

est Jse divisions to convert the base ten numer given base 2 874 to base seven O 11 224seven O 11 244seven O 11 422 seven 11 442 seven

Questio Subtract in the indicated base 22four 13 four O 11 four 3 four O 13 four 12 four

Find the least common multiple of the numbers 45 and 54 O 405 O 270 O 2430 O 486