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. Ifxis the time, in hours, required for the car to catch the truck,then which ofthe following equations can be used to solve forx?

4 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.

6 Find the intercepts and the graph of a parabola given its equation. 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