Exam 3: Systems of Linear Equations and Inequalities

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An isosceles triangle has two angles of the same measure (see figure). If the angle represented by y measures 60° more than the angle x, find the measures of all angles of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.) An isosceles triangle has two angles of the same measure (see figure). If the angle represented by y measures 60° more than the angle x, find the measures of all angles of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)   [Figure is not necessarily drawn to scale.] [Figure is not necessarily drawn to scale.]

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Which one of the following points is a solution to the system? -8x-8y-5z=-6 7x-8y-9z=17 9x+2y+6z=-1

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Souvenir hats, T-shirts, and jackets are sold at a rock concert. Two hats, two T-shirts, and one jacket cost $141. Three hats, three T-shirts, and two jackets cost $239. One hat, three T-shirts, And 3 jackets cost $262. Find the prices of the individual items.

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Solve the system by the addition method. 7x+9y=128 3x-9y=-48

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Use a graphing calculator to graph each linear equation on the same viewing window. Use a TRACE or INTERSECT feature to find the point of intersection. y=x-11 y=x-20

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Nail polish remover is essentially a mixture of water and a chemical called acetone. How much pure acetone must be combined with a solution that is 10% acetone to make 30 oz of a 37% solution?

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Graph the solution set of the compound inequality. y2x4y - 2 x \geq 4 and 3y6x93 y \leq 6 x - 9

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The Hillsville Little Theater is currently presenting a new stage production of the animated feature Hoodwinked. At the opening, 70 tickets were sold and ticket sales totaled $672. If adult tickets cost $12 and children's tickets cost $8, how many of each type of ticket were sold?

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Graph the solution set of the inequality. 10x4y<2010 x - 4 y < 20

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There are 15 coins consisting of nickels, dimes, and quarters which are collected from a newspaper vending machine. The total value of the coins is $1.95 and there are 4 more dimes than quarters. Find the number of each type of coin.

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Consider the matrix below. (a) Determine the order of the matrix. (b) Determine if the matrix is a row matrix or a column matrix. [ 71.12]\left. \begin{array} { l l l l } - 7 & 1.1 & 2 \end{array} \right]

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Solve the system by using the substitution method. x=-0.9y+4.1 y=-0.9x+5.4

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Solve the system by the addition method. -5x-9y=28 -4x+5y=-2

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Solve the system of equations. 10x+20z =22 y-3z =-2 x-5y =2

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Solve by using the substitution method. x-2y=16 -8x-8y=16

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Solve the system by the addition method. -12x-15y=-27 -0.4x=6.8+0.5y

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Solve the system. -3x+15y =3 x =5y-1

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Solve the system by the addition method. -2.1x-3.9y=5.1 -2.3x-5.8y=11.7

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Graph the solution set of the inequality. y4x>0y - 4 x > 0

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Solve the system. y=x-4 x-7y=1

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