Systems of Equations Substitution Simultaneous Cramer s Rule Algebra Practice Workbook with Answers Improve Your Math Fluency Series 20 Chris McMullen

3x – 4y = 8......Page 2
Chris McMullen, Ph.D.......Page 3
Contents......Page 5
Making the Most of this Workbook......Page 6
Concepts......Page 7
Strategy in Words......Page 8
Step 3: Solve for y in this equation.......Page 9
Check Your Answers......Page 12
Concepts......Page 43
Strategy in Words......Page 44
Step 2: Plug this expression in for x in the bottom two equations.......Page 45
Step 5: Solve for z in this equation.......Page 46
Step 6: Use this value of z to solve for x and y.......Page 47
Check Your Answers......Page 49
Concepts......Page 91
Strategy in Words......Page 92
Guided Example (Same Sign)......Page 93
Step 5: Solve for x in this equation.......Page 94
Check Your Answers......Page 96
Guided Example (Opposite Sign)......Page 97
Step 5: Solve for x in this equation.......Page 98
Check Your Answers......Page 99
Concepts......Page 130
Strategy in Words......Page 132
Step 3: Subtract Step 2 from Step 1.......Page 133
Concepts......Page 215
Strategy in Words......Page 216
Step 6: Find y by dividing Dy by Dc.......Page 217
Step 2: Find the determinant Dx.......Page 218
Step 6: Calculate y.......Page 219
Check Your Answers......Page 221
Concepts......Page 252
Strategy in Words......Page 255
Guided Example......Page 256
Concepts......Page 298
Strategy in Words......Page 299
Step 8: Find z by dividing Dz by Dc.......Page 301
Step 2: Find the determinant Dx.......Page 302
Step 4: Find the determinant Dz.......Page 303
Step 8: Calculate z.......Page 304
Check Your Answers......Page 306
Guided Example (with Missing Coefficients)......Page 308
Step 4: Find the determinant Dz.......Page 309
Step 7: Calculate y.......Page 310
Step 8: Calculate z.......Page 311
Check Your Answers......Page 312
Concepts......Page 354
Step 5: Change the size at the top to 3 × 4.......Page 356
Step 10: Close the parentheses and press Enter.......Page 357
Calculator Example......Page 359
Step 10: Close the parentheses and press Enter.......Page 360
Test it Out......Page 361
About the Author......Page 363
Improve Your Math Fluency......Page 365
300+ Mathematical Pattern Puzzles......Page 370