QUICK QUIZ 1. A system of equations that is consistent and independent has _______________ solutions. 3. Solve (Use Substitution) x = y – 5 4x + 3y = 1.

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QUICK QUIZ 1. A system of equations that is consistent and independent has _______________ solutions. 3. Solve (Use Substitution) x = y – 5 4x + 3y = 1 4. Solve (Use Elimination) 2x + 3y = 13 3x – 4y = Solve (By Graphing) x + y = 4 x + y = -1 Try these problems and when you are finished click to reveal the answers.

QUICK QUIZ 1. A system of equations that is consistent and independent has _______________ solution(s). 3. Solve (Use Substitution) x = y – 5 4x + 3y = 1 4. Solve (Use Elimination) 2x + 3y = 13 3x – 4y = Solve (By Graphing) x + y = 4 x + y = -1 one (-2, 3) (-1, 5) no solution

FLASH CARDS PART 1: WHAT IS THE SLOPE & Y-INTERCEPT? y = 2x + 6 slope (m) = 2 y-intercept = 6

FLASH CARDS PART 1: WHAT IS THE SLOPE & Y-INTERCEPT? y = -3x – 8 slope (m) = -3 y-intercept = -8

FLASH CARDS PART 1: WHAT IS THE SLOPE & Y-INTERCEPT? 6x – 2y = 8 slope (m) = 3 y-intercept = - 4

FLASH CARDS PART 1: WHAT IS THE SLOPE & Y-INTERCEPT? x + 6y = 5 slope (m) = - 1 / 6 y-intercept = 5 / 6

FLASH CARDS PART 1: WHAT IS THE SLOPE & Y-INTERCEPT? 5x – 2y = 6 slope (m) = 5 / 2 y-intercept = -3

FLASH CARDS PART 2: HOW MANY SOLUTIONS AND WHY? 5x + 3y = 7 2x – 4y = 2 ONE BECAUSE SLOPES ARE DIFFERENT

FLASH CARDS PART 2: HOW MANY SOLUTIONS AND WHY? y = 2x + 3 y = -2x + 3 ONE BECAUSE SLOPES ARE DIFFERENT

FLASH CARDS PART 2: HOW MANY SOLUTIONS AND WHY? y = 3x - 7 y = 3x + 7 NO SOLUTION BECAUSE SLOPES ARE THE SAME AND Y-INTERCEPTS ARE DIFFERENT.

FLASH CARDS PART 2: HOW MANY SOLUTIONS AND WHY? 2x – 3y = 2 4x – 6y = 7 NO SOLUTION BECAUSE SLOPES ARE THE SAME AND Y-INTERCEPTS ARE DIFFERENT.

FLASH CARDS PART 2: HOW MANY SOLUTIONS AND WHY? y = 4x - 1 4x + y = 1 ONE BECAUSE SLOPES ARE DIFFERENT.

FLASH CARDS PART 3 MULTIPLY WHICH EQUATION(S) BY WHAT… To eliminate the x 3x – 4y = 1 6x – 7y = 8 FIRST EQUATION BY -2

FLASH CARDS PART 3 MULTIPLY WHICH EQUATION(S) BY WHAT… To eliminate the y x – 3y = 0 5x – y = 2 SECOND EQUATION BY -3

FLASH CARDS PART 3 MULTIPLY WHICH EQUATION(S) BY WHAT… To eliminate the x 2x – y = 7 3x + 2y = 1 FIRST EQUATION BY -3 AND SECOND EQUATION BY 2

FLASH CARDS PART 3 MULTIPLY WHICH EQUATION(S) BY WHAT… To eliminate the y 2x – y = 7 3x + 2y = 1 FIRST EQUATION BY 2 END

CHAPTER 7 QUIZ: HOW MANY SOLUTIONS? SOLVE BY GRAPHING SOLVE USING SUBSTITUTION SOLVE USING ELIMINATION SOLVE USING MULTIPLICATION & ELIMINATION SOLVING SYSTEMS OF EQUATIONS The chapter 7 quiz will involve the following: