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Quiz 8 Review. VOCAB. 2x2 System of Equations: two equations working together; have one, infinite, or no solution Substitution: replacing a term with an equivalent value or replacing a variable with a number. VOCAB. Monomial: a polynomial with just one term
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VOCAB 2x2 System of Equations: two equations working together; have one, infinite, or no solution Substitution: replacing a term with an equivalent value or replacing a variable with a number
VOCAB Monomial: a polynomial with just one term Model: use pictures to show your work
VOCAB Polynomial (YOU MAY USE THE SHORT VERSION): more than one term (but not infinite terms); can’t divide by a variable Coefficient: number used to multiply a variable
LT 1: Graphing Systems • Steps • Make an X|Y table for each equation. • Graph each line. • Connect the points. • If the lines intersect—the point that they intersect is your solution.
Y = -x + 1 Y = x + 1
LT 1: Graphing Systems One point of intersection: ONE solution Parallel lines: NO solution Same or overlapping line: INFINITE solutions
LT 2: Substitution + Systems Solve one equation for X or Y. Substitute into the 2nd equation. Use the distributive property. Combine like terms. Solve for the variable. Substitute into the original equation. Solve for the variable. Write your answer as an ordered pair. **Skip steps as needed**
LT 2: Substitution Y = 2x + 1 Y = x – 5
LT 3: Systems One solution: ONE point of intersection, ordered pair Infinite solutions: SAME line No solution: No intersection; parallel lines
LT 3: Systems Y = x + 3 Y = 2x + 6
LT 4: Adding/Subtracting Model: (x2 + 3x + 2) + (2x2 – 2)
LT 4: Adding/Subtracting Model: (x2 + 2x + 3) – (3x2 + 2)
LT 5: Multiplying Model: (-2x + 2)3x
LT 5: Multiplying -3(2x2 + 2)