Level D Review Packet - MMT This packet briefly reviews the topics covered on the Level D Math Skills Assessment. If you need additional study resources and/or assistance with any of the topics below, please visit the Math Center (See our hours here: http://www.sjfc.edu/campus-services/mathcenter/) Note: A calculator is not allowed on the Level D Math Skills Assessment. R.6 Solving Linear Inequalities ) Solve: 4 + ) Solve: - 4 5 + ) Solve: ( 4) - > + 4) Solve: ( ) > 7-4 R8.7 Rational Eponents ) Write with positive eponents. Simplify if ) possible: 5 4 ) 8 4) 8 ) ) Solve for : 4.4: Use Like Bases to Solve Eponential Equations 8 ) Solve for : 8 5 5 ) ) Solve for : 6 64 4) Solve for : 7 8
.6: Solving Radical Equations ) Find the solution set of 8 8 9. ) Find the solution set of 5. ) Find the solution set of 8 4. 4) Find the solution set of 0 4. R.8: Solving Absolute Value Equations ) Find the solution set of 6 = 6. ) Find the solution set of 4 =. ) Find the solution set of 7 4 =. 4) Find the solution set of =..: Solving a formula for a Variable ) Solve in terms of y: ay b c ) Solve in terms of y: b cyz ay ay a ) Solve in terms of y: bd a 4) Solve in terms of y: b c bc y
Multiplying Polynomials ) Multiply: ( + 4)( ) ) Multiply: (4 y)( y) ) Multiply: ( + 6) 4) Multiply: ( - ) ) Factor completely: Factoring 4 40. ) Factor completely:. ) Factor completely: y 7. 4) Factor completely: 9 y 8y 9y. R6.6: Solving Quadratic Equations by factoring ) Solve: 8 6 0. ) Solve: 64k 9 0. ) Solve: 7 0. 4) Solve: 8 0.
) What is the solution to the system of equations 8. Solving Systems of Linear Equations ) What is the solution to the system of equations y = 8 + y = + y = + y = 5 ) What is the solution to the system of equations + y = 7 - + y = 4) What is the solution to the system of equations y = - + y = 5 5) What is the solution to the system of equations y = + y = -4 6) What is the solution to the system of equations + y = y = 6 7) What is the solution to the system of equations - + y = 8 y = -0 8) What is the solution to the system of equations + y = - + y = - 4
) Find the quotient when 6 + is divided by -6. R5.6 Dividing Polynomials ) Find the quotient when 4a 8a+a is divided by 4a. ) Simplify completely: a a a a 5 5 4 4 5 9a b 7a b 6a b. 4) Simplify completely: ab 5. 5) Simplify completely: 85 6) Simplify completely: 4 6 7) Simplify completely: 7 0 8) Simplify completely: 4 6 7 5
R7.4 Adding and Subtracting Algebraic Fractions ) Epress as a single fraction in lowest terms: ) Epress as a single fraction in lowest terms: 4 5 5 ) Epress as a single fraction in lowest terms: 4) Epress as a single fraction in lowest terms: 7 4 4 5) Epress as a single fraction in lowest terms: 6) Epress as a single fraction in lowest terms: 6 7) Epress as a single fraction in lowest terms: 5 6 5 8) Epress as a single fraction in lowest terms: 5 4 4 6
R0. Simplify Eponential Equations ) Simplify the epression using positive eponents 45z 5z ) y 4y 5 4 ) 65t 6 5t 4 4) y y 7 4 ) Write the following epression in simplest form: 5 5 5 0 R7. Divide rational epressions ) Write the following epression in simplest form: 0 5 5 5 ) Write the following epression in simplest form: p 8p 64 p 4 p p 4) Write the following epression in simplest form: 8 a a 7a 8 a 9a 5a 7
) Solve for all values of : R7.6 Solving Equations Involving Fractions 4 6 ) Solve for all values of : 4 6 ) Solve for all values of : 6 9 4) Solve for all values of y: 5 ( y ) y y 9 ) Simplify: 5 9a 7 8a R0.6 Simplifying Comple Fractions y ) Simplify: y ) Simplify: 4) Simplify: y y y 8
.7 Finding Inverses Algebraically ) What is the inverse of the function f ( ) 6? 4 ) What is the inverse of the function f ( )? ) What is the inverse of the function f ( ) 4 7? 4) What is the inverse of the function f ( )?. &.6: Identify the Domain and Range of a Function ) Find the domain of the composite function f g 5 f ( ) g( ) 4 ) Find the domain of the composite function f g f ( ) g( ) ) Use the graph to determine the domain and range of the function: 4) Use the graph to determine the domain and range of the function: 9
.6 Write Functions as Composition ) Given: f ( ) 5 and g ( ) 6 ) Given: f ( ) and g ( ) 4 Find: g ( f ()) Find: ( g f )() ) Given: f ( ) 6 and g ( ) 4 Find: ( f g)(4) 4) Given: f( ) and 6 Find: ( g f )() g ( ) R4.8 Graph Piecewise Functions... 4. 0
. Evaluate the epression without using a calculator: log6 6 4. Evaluate Logarithms. log 8. log5 4. ln 5 e.use the properties of logarithms to condense the following logarithmic epression. Write the epression as a single logarithm with a coefficient of. ln( ) ln 4. Condense Logarithms 4log ( ) log 6 log.. log( t ) log t log5 t 4. log 6( ) log 6 log 6( 5) 5. ln() 6ln 6. log ( 4) log
4.4: Use the definition of a Logarithm to solve Log Equations ) Solve for : log() + log( ) = ) Solve for : log( + ) + log( + 5) = ) Solve for : log( - ) - log( - 4) = 4) Solve for : log5() log5( ) = 5. Use the signs of the trigonometric functions ) Find the eact value of the indicated trigonometric function of 8 sec in quadrant II. Find sin 7 ) Find the eact value of the indicated trigonometric function of tan in quadrant II. Find csc 7 ) Find the eact value of the indicated trigonometric function of csc in quadrant III. Find tan 7 4) Find the eact value of the indicated trigonometric function of 5 cot in quadrant III. Find cos
4. Find the values of trigonometric functions ) Find the eact value: sin 5 ) Find the eact value: cos50 ) Find the eact value: tan5 4) Find the eact value: sin00 5) Find the eact value: tan0 6) Find the eact value: cos0 6.5 Solve trigonometric equations quadratic in form l) Solve the equation sin sin for values on the interval [0, ) ) Solve the equation on the interval [0, ) sin 8sin 5 for values ) Solve the equation on the interval [0, ) cos cos for values 4)Solve the equation interval [0, ) cos 0 for values on the
Study Plan Topics MyMathTest o R.6 Solving Linear Inequalities o R.8 Absolute Value Equations o R4.8 Piecewise-Defined Functions: Graphing o R5.5 Integer Eponents and the Quotient Rule o R5.6 Dividing a Polynomial by a Monomial o R6.6 Solving Quadratic Equations by Factoring o R7. Multiplying and Dividing Rational Epressions o R7.4 Adding and Subtracting Rational Epressions o R7.6 Solving Equations with Rational Epressions o R8.7 Rational Eponents o R0. Eponents and Scientific Notation o R0.6 Rational Epressions o. Models and Applications o.6 Other Types of Equations o. Basics of Functions and Their Graphs o.6 Combinations of Functions; Composite Functions o.7 Inverse Functions o 4. Logarithmic Functions o 4. Properties of Logarithms o 4.4 Eponential and Logarithmic Equations o 5. Trigonometric Functions of Any Angle o 6.5 Trigonometric Equations o 8. Systems of Linear Equations in Two Variables o 4. Definitions of the Trigonometric Functions 4