Level C Review Packet This packet briefly reviews the topics covered on the Level A 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/). All questions and concerns about the assessment should be directed to mathcenter@sjfc.edu. Note: A calculator is not allowed on the Level C Math Skills Assessment. Solving Equations 1) Solve for : 5 8 ) Solve for : ( 6) = ( -) ) Solve for : -6 + 1 = ( +1) 4) Solve for : ( ) + 5 = 0-5) Solve for : 7-8 = ( + ) + 4 6) Solve for : 8 4 4 7) Solve for : 10 8) Solve for : 1 6 10 Solving Equations - decimal coefficients and constants 1) Solve for m: 0.04m 1.6 0. 8 ) Solve for m: 1.m.1 0. 5 ) Solve for m: 0.5m 5.5 0.4m 4) Solve for m: 0.0m1..7 1
Solving Inequalities 1) Solve: 14 + ) Solve: - 4 5 + ) Solve: ( 4) - > + 4) Solve: ( ) > 7-4 1) Evaluate. a b a ( ) if 1, b a and Evaluating Epressions a b a c ) Find the value of b a, b 4 and c 5. when ) Find the value of a bc c when a, b 4 and c 5. 4) Find the value of, y. 4 5ywhen 1 0 1) What is the value of 15a a 5a when a 5? Evaluating Epressions - negative and fractional eponents 0 1 ) What is the value of 9a 81a a when a 7? 1 ) What is the value of 1 0 a a when a 4? 4) What is the value of 1000a a a a 10? 0 when
1) Write the epression single eponent. 1 4 4 4 8 4 Eponents - properties as a ) Write the epression eponent. 5 7 8 8 8 as a single ) Write the epression eponent. 1 4 as a single 4) Write the epression eponent. 0 5 7 7 7 9 as a single 1) Solve for : 81 Solving Equations variables in the eponent ) Solve for : 8 1 5 15 ) Solve for : 4 16 4) Solve for : Solving Radical Equations 1) Find the solution set of. ) Find the solution set of 1. ) Find the solution set of 8. 4) Find the solution set of.
Solving for a Variable 1) Solve in terms of y: ay b c ) Solve in terms of y: by c a ) Solve in terms of y: ay c a 4) Solve in terms of y: b c y 1) What value for will make the epression undefined? Undefined ) What value for will make the epression undefined? ) What value for will make the epression 1 undefined? 4) What value for will make the epression undefined? Adding Polynomials 1) Epress the sum of 48and ) Epress the sum of ( 9) and 15 as a 4 5 11as a trinomial. trinomial. ) Epress the sum of 4 4 and trinomial. ( ) as a 4) Epress the sum of a trinomial. ( 1) and as 4
Subtracting Polynomials 1) Subtract 9 5 from 4 8. ) Subtract 4 7 from 6 1. ) Subtract 4from. 4) Subtract 4from 9. 1) Multiply: 4a b and a b Multiplying Polynomials ) What is the product of 8a b and a b 8? ) Multiply: y 5, 5 z y, and yz 4) What is the product of 4a and 8a? 5) Multiply: ( + 4)( ) 6) Multiply: (4 y)( y) 7) Multiply: ( + 6) 8) Multiply: ( - ) 5
1) Find the quotient when 6 +1 is divided by -6. Dividing Polynomials ) Find the quotient when 4a 8a+1a 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: 815 6) Simplify completely: 0 4 7) Simplify completely: 5 5 8) Simplify completely: 5 9 6
1) Factor completely: Factoring 4 40. ) Factor completely: 8 10. ) Factor completely: 6 45. 4) Factor completely: 8 16. Solving Quadratic Equations 1) Solve: 4 0. ) Solve: 1 10 0. ) Solve: 7 0. 4) Solve: 8 16 0. 7
1) Use the quadratic formula to solve Solving Quadratic Equations using quadratic formula 5 0. ) Use the quadratic formula to solve 5 7 1 0. ) Use the quadratic formula to solve 1 0. 4) Use the quadratic formula to solve 7 5 0. 1) Epress as a single fraction in lowest terms: Subtracting Algebraic Fractions ) Epress as a single fraction in lowest terms: 41 5 5 ) Epress as a single fraction in lowest terms: 4) Epress as a single fraction in lowest terms: 7 41 4 8
1) Write the following epression in simplest form: y 8 7 9y Multiplying Algebraic Fractions ) Write the following epression in simplest form: b c a d 7 4 a d abc 4 ) Write the following epression in simplest form: 1y 9 y 6y 4) Write the following epression in simplest form: 5 y 10 10y 5) Write the following epression in simplest form: 5 10 5 5 6) Write the following epression in simplest form: 10 15 5 15 7) Write the following epression in simplest form: p 8p 1 p 4 p p 64 8) Write the following epression in simplest form: a 81 5a 9 7 18 a a a a 9
1) Solve for all values of : Equations Involving Fractions 4 ( 4) ) Solve for all values of : 9 1 ) Solve for all values of : 6 4) Solve for all values of : 1 6 5) Solve for : 5 1. 6) Solve for : 6 7) Solve for : 8 4 8) Solve for : 5 10
1) What is the solution to the system of equations y = 8 + y = Solving Systems of Linear Equations ) What is the solution to the system of equations + 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 = 1 - + y = 5 5) What is the solution to the system of equations y = + y = -14 6) What is the solution to the system of equations + y = 1 y = 6 7) What is the solution to the system of equations - + y = 8 y = -10 8) What is the solution to the system of equations + y = - + y = -1 11