KYOTE College Algebra Practice Exam1

1 KYOTE College Algebra Practice Exam of the following equations has the same solution as 5x+ 8 =x 9?A) 4x= 1B) 4x= 17C) 6x= 17D) 6x= 17E) 4x= ( 2x4)3( 2x2)2A) 8x11B) 8x16C) 32x16D) 32x16E) (x) = 7 x, then which of the following sets is the domain of this function?A)x 7B)x6= 7C)x 0D)x6= 0E)x of the factors of 3x2+ 8x 35 isA) 3x 7B) 3x+ 7C)x 35D) 3x+ 5E)x solution of 3x2+ 7x 6 = 0 isA) 23B)32C) 3D) 6E) 1 27= 3 )2623B) 1223C)2326D)3023E) and simplify. (3x 6y)2A) 9x2 36x y 36y2B) 9x2+ 36y2C) 9x2 36x y+ 36y2D) 9x2 18x y+ 36y2E) 9x2 line parallel to 2x+y= 5 and passing through (5,4) has equationA)y= 2x 6B)y= 2x+ 14C)y= 2x 3D)y= 2x+ 13E)y= 2x x 30x2 12x+ 36A)x+ 6x 6B)x+ 5x 6C)x 30x 6D)x+ 30x 6E)x 5x vertices of a triangle consist of the three points where the parabolay= 7 x2intersects thecoordinate axes as shown.

2 What is the area of this triangle?A) 14 7B)7 72C) 98D) 7 7E) ( 3x 5)2(2x3) 2A) 6x16B)94x16C)94x12D) 94x16E) of the following is an equation of the line whose graph is shown below?A)y= 2 +25xB)y=25xC)y= 5 +52xD)y= 5 +25xE)y= 2 +52xYX5 both 9x+ 2y= 8 and 7x+ 2y= 4, theny=?.A) 9B) 2C) 18D) 5E) 7x < x+ 7 and express the solution in interval ) ( 76, )B) ( 78, )C) ( , 78)D) ( 87, )E) ( , 67) the hypotenuse of a right triangle has length 9 feet and oneof the other sides has length 2 feet,what is the length of the remaining side, in feet?A) 7B) 11C) 7D) 85E) + )47R+ 9B)74R+634C)47R+367D)74R 9E)74R+ + 9x+ 20+6x+ 4A)8x+ 6x2+ 10x+ 24B)8x+ 6x2+ 9x+ 20C)14xx2+ 9x+ 20D)14x+ 30x2+ 9x+ 20E)14x+ 6x2+ 9x+ positive numbers, then 24x10y 6A) 2x8 6y4B) 2x5 6y3C) 2x5y3 6D)2x5 6y3E)2x8 (x) = 2x+ 9, andf(a) = 7, thena=?

3 A) 9B) 23C) 1D) 7E) 12(x)2/3whenx= ) 64B) 48C) 48D) 256E) rectangular field is enclosed by 320 feet of fencing. If the length of the field is 6 feet more than itswidth, what is its length, in feet?A) 80B) 83C) 77D) 157E) (x (1 4x))xwhenx= )265B) 21C) 19D) 265E) surface areaSof a cylinder isS= 2 r2+ 2 r hwhereris the base radius andhis the ish, in inches, whenSis 175 square inches andris 6 inches?A)175 864 212 B)175 + 864 212 C)175 + 72 12 D)2512 E)175 72 12 truck leaves an intersection going 42 miles per hour. Half an hour later, a car going 62 miles perhour follows the truck.

4 Ifxis the time, in hours, required for the car to catch the truck,then which ofthe following equations can be used to solve forx?A) 42x+ 21 = 62xB) 42x+12= 62xC) 42x+ 62 = 62xD) 42x+ 42 = 62xE) 42x+ 30 = 5x2+ 1 fromx2 x ) x3+ 6x2 x 3B)x3 4x2+x+ 5C)x3 6x2+x+ 5D) x3+ 6x2 x 5E) x3 4x2 x 55 Key: KYOTE12 CART11) E2) C3) A4) A5) E6) D7) C8) B9) B10) D11) B12) A13) D14) B15) E16) E17) D18) D19) C20) B21) B22) A23) E24) A25) DStandards :20, :7, :2, :1, :21, :8, :3,192 Description of Standards1. : Evaluate algebraic expressions at specified values of their variables using signednumbers, rational exponents, order of operations and : Add, subtract and multiply : Simplify algebraic expressions involving integer : Simplify algebraic expressions involving square roots and cube : Factor a polynomial in one or more variables by factoring out its greatestcommon factor.

5 Factor a trinomial. Factor the difference of : Add, subtract, multiply and divide simplerational : Simplify a rational : Solve a linear : Solve a multivariable equation for one of its : Solve a linear inequality in one : Solve a quadratic : Solve an equation involving a radical, a rational or an absolute value : Solve a system of two linear equations in two : Solve problems that can be modeled using alinear or quadratic equation : Solve geometry problems using the Pythagorean theorem and the properties ofsimilar : Understand and apply the relationship between the properties of a graph of a lineand its : Find the intercepts and the graph of a parabola given its equation.

6 Find anequation of a parabola given its : Evaluate a function at a number in its domain. Find the domain of a rationalfunction or the square root of a linear