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mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
\((1,-5)\)For each ordered pair above, decide:I. Is the ordered pair a solution to the equation?II. Is the point on the line in the given graph?\(y=x-4\) 00 8 7 10 6 5 4 3 2 1 -8-7-6-5-4-3-2-10 -2- N 1 2 3 4 5 6 7 8 -3 4. 5 10 6 -7 -8
\((0,2)\)For each ordered pair below, decide:I. Is the ordered pair a solution to the equation?II. Is the point on the line in the given graph?\(y=\frac{1}{3} x+2\) 8 7 6 5 4 3 N 1 -8-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 1 -2 -3 -4 -5 -6 -7 -8-
\((3,3)\)For each ordered pair below, decide:I. Is the ordered pair a solution to the equation?II. Is the point on the line in the given graph?\(y=\frac{1}{3} x+2\) 8 7 6 5 4 3 N 1 -8-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 1 -2 -3 -4 -5 -6 -7 -8-
\((-3,2)\)For each ordered pair below, decide:I. Is the ordered pair a solution to the equation?II. Is the point on the line in the given graph?\(y=\frac{1}{3} x+2\) 8 7 6 5 4 3 N 1 -8-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 1 -2 -3 -4 -5 -6 -7 -8-
\((-6,0)\)For each ordered pair below, decide:I. Is the ordered pair a solution to the equation?II. Is the point on the line in the given graph?\(y=\frac{1}{3} x+2\) 8 7 6 5 4 3 N 1 -8-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 1 -2 -3 -4 -5 -6 -7 -8-
\(y=3 x-1\)Graph by plotting points.
\(y=-x-3\)Graph by plotting points.
\(y=2 x\)Graph by plotting points.
\(y=\frac{1}{2} x+2\)Graph by plotting points.
\(y=\frac{4}{3} x-5\)Graph by plotting points.
\(y=\frac{2}{5} x+1\)Graph by plotting points.
\(y=\frac{3}{2} x+2\)Graph by plotting points.
\(y>x-3\)A: \((0,0)\)B: \((2,1)\)C: \((-1,-5)\)D: \((-6,-3)\)E: \((1,0)\)Determine whether each ordered pair is a solution to the inequality.
\(y
\(y
\(3 x-4 y>4\)A: \((5,1)\)B: \((-2,6)\)C: \((3,2)\)D: \((10,-5)\)E: \((0,0)\)Determine whether each ordered pair is a solution to the inequality.
\(2 x+3 y>2\)A: \((1,1)\)B: \((4,-3)\)C: \((0,0)\)D: \((-8,12)\)E: \((3,0)\)Determine whether each ordered pair is a solution to the inequality.
Write the inequality shown by the graph with the boundary line \(y=3 x-4\). 10 5+ x -10 -5 0 5 10 -5A -10
Write the inequality shown by the graph with the boundary line \(y=2 x-4\). 10 5 -10 -5 0 x 5 10 10
Write the inequality shown by the graph with the boundary line \(y=\frac{1}{2} x+1\). 10 5 y -10 -5 5 -10 10
Write the inequality shown by the graph with the boundary line \(y=-\frac{1}{3} x-2\). 10 5 -x -10 -5 0 5 10 -5- -10
Write the inequality shown by the shaded region in the graph with the boundary line \(x+y=5\). 10 10 5 -10 -5 0 5 10 -5- -10
Write the inequality shown by the shaded region in the graph with the boundary line \(x+y=3\). 10 5 X -10 -5 0 5 10 -5 -10
Write the inequality shown by the shaded region in the graph with the boundary line \(3 x-y=6\). 10 5 X -10 -5 0 5 10 -5
Write the inequality shown by the shaded region in the graph with the boundary line \(2 x-y=4\). 10 5- X -10 -5 0 5 10 10
\(y
\(y \leq-\frac{1}{2} x+4\)Graph the linear inequality.
\(y \geq-\frac{1}{3} x-2\)Graph the linear inequality.
\(x-y \leq 3\)Graph the linear inequality.
\(x-y \geq-2\)Graph the linear inequality.
\(4 x+y>-4\)Graph the linear inequality.
\(x+5 y
\(3 x+2 y \geq-6\)Graph the linear inequality.
\(4 x+2 y \geq-8\)Graph the linear inequality.
\(y>4 x\)Graph the linear inequality.
\(y \leq-3 x\)Graph the linear inequality.
\(-(t-19)=28\)Solve the linear equations using a general strategy.
\(51+5(4-q)=56\)Solve the linear equations using a general strategy.
\(-6+6(5-k)=15\)Solve the linear equations using a general strategy.
\(3(10-2 x)+54=0\)Solve the linear equations using a general strategy.
\(-2(11-7 x)+54=4\)Solve the linear equations using a general strategy.
\(-12+8(x-5)=-4+3(5 x-2)\)Solve the linear equations using properties of equations.
\(4(p-4)-(p+7)=5(p-3)\)Solve the linear equations using properties of equations.
\(3(a-2)-(a+6)=4(a-1)\)Solve the linear equations using properties of equations.
\(4[5-8(4 c-3)]=12(1-13 c)-8\)Solve the linear equations using properties of equations.
\(5[9-2(6 d-1)]=11(4-10 d)-139\)Solve the linear equations using properties of equations.
It costs \(\$ 0.55\) to mail one first class letter. Construct a linear equation and solve to find how much it costs to mail 13 letters.Construct a linear equation to solve an application.
Normal yearly snowfall at the local ski resort is 12 inches more than twice the amount it received last season. The normal yearly snowfall is 62 inches. Construct a linear equation and solve to find what the snowfall was last season.Construct a linear equation to solve an application.
Guillermo bought textbooks and notebooks at the bookstore. The number of textbooks was three more than twice the number of notebooks. He bought seven textbooks. Construct a linear equation and solve to find how many notebooks he bought.Construct a linear equation to solve an application.
Gerry worked Sudoku puzzles and crossword puzzles this week. The number of Sudoku puzzles he completed is eight more than twice the number of crossword puzzles. He completed 22 Sudoku puzzles. Construct a linear equation and solve to find how many crossword puzzles he did.Construct a linear
Laurie has \(\$ 46,000\) invested in stocks. The amount invested in stocks is \(\$ 8,000\) less than three times the amount invested in bonds. Construct a linear equation and solve to find how much Laurie invested in bonds.Construct a linear equation to solve an application.
\(1,000 x+2,500=16,500\).Construct an application from a linear equation.
\(0.36 t\) for \(t=333\).Construct an application from a linear equation.
\(150 n+120=570\).Construct an application from a linear equation.
\(4 c+2 c\) for \(c=5\).Construct an application from a linear equation.
\(2 s+10=24\).Construct an application from a linear equation.
\(23 z+19=3(5 z-9)+8 z+46\)State whether each equation has exactly one solution, no solution, or infinitely many solutions.
\(18(5 j-11)=47 j+17\)State whether each equation has exactly one solution, no solution, or infinitely many solutions.
\(22(3 m+4)=17(4 m-6)\)State whether each equation has exactly one solution, no solution, or infinitely many solutions.
\(7 v+42=11(3 v+8)-2(13 v-1)\)State whether each equation has exactly one solution, no solution, or infinitely many solutions.
\(45(3 y-2)=9(15 y-6)\)State whether each equation has exactly one solution, no solution, or infinitely many solutions.
\(9(14 d+9)+4 d=13(10 d+6)+3\)State whether each equation has exactly one solution, no solution, or infinitely many solutions.
Solve the formula \(C=\pi d\) for \(d\).Solve the given formula for the specified variable.
Solve the formula \(V=L W H\) for \(L\).Solve the given formula for the specified variable.
Solve the formula \(A=(1 / 2) b h\) for \(b\).Solve the given formula for the specified variable.
Solve the formula \(A=(1 / 2) d_{1} d_{2}\) for \(d_{1}\).Solve the given formula for the specified variable.
Solve the formula \(A=(1 / 2) h\left(b_{1}+b_{2}\right)\) for \(b_{1}\).Solve the given formula for the specified variable.
Solve the formula \(h=54 t+(1 / 2) a\) for \(a\).Solve the given formula for the specified variable.
Solve \(180=a+b+c\) for \(a\).Solve the given formula for the specified variable.
Solve the formula \(A=(1 / 2) p l+B\) for \(p\).Solve the given formula for the specified variable.
Solve the formula: \(P=2 L+2 W\) for \(L\).Solve the given formula for the specified variable.
\(x>3\)Graph the inequality on a number line and write the interval notation.
\(x \leq-0.5\)Graph the inequality on a number line and write the interval notation.
\(x \geq \frac{1}{3}\)Graph the inequality on a number line and write the interval notation.
\(x
\(-2
\(-5 \leq x
\(0 \leq x \leq 3.5\)Graph the inequality on a number line and write the interval notation.
\(-4
\(-5
\(-3.75 \leq x \leq 0\)Graph the inequality on a number line and write the interval notation.
\(6 y
\(40
\(7 s
\(\frac{9}{4} g \leq 36\)Solve the inequality, graph the solution on the number line, and write the solution in interval notation.
\(-8 v \leq 96\)Solve the inequality, graph the solution on the number line, and write the solution in interval notation.
\(\frac{b}{-10} \geq 30\)Solve the inequality, graph the solution on the number line, and write the solution in interval notation.
\(-7 d>105\)Solve the inequality, graph the solution on the number line, and write the solution in interval notation.
\(-18
\(5 u \leq 8 u-21\)Solve the inequality, graph the solution on the number line, and write the solution in interval notation.
\(9 p>14 p-18\)Solve the inequality, graph the solution on the number line, and write the solution in interval notation.
\(9 y+5(y+3)
\(4 k-(k-2) \geq 7 k-26\)Solve the inequality, graph the solution on the number line, and write the solution in interval notation.
The elevator in Yehire's apartment building has a sign that says the maximum weight is 2,100 pounds. If the average weight of one person is 150 pounds, how many people can safely ride the elevator?Construct a linear inequality to solve the application.
Arleen got a \(\$ 20\) gift card for the coffee shop. Her favorite iced drink costs \(\$ 3.79\). What is the maximum number of drinks she can buy with the gift card?Construct a linear inequality to solve the application.
Ryan charges his neighbors \(\$ 17.50\) to wash their car. How many cars must he wash next summer if his goal is to earn at least \(\$ 1,500\) ?Construct a linear inequality to solve the application.
Kimuyen needs to earn \(\$ 4,150\) per month in order to pay all her expenses. Her sales job pays her \(\$ 3,475\) per month plus 4 percent of her total sales. What is the minimum Kimuyen's total sales must be in order for her to pay all her expenses?Construct a linear inequality to solve the
Nataly is considering two job offers. The first job would pay her \(\$ 83,000\) per year. The second would pay her \(\$ 66,500\) plus 15 percent of her total sales. What would her total sales need to be for her salary on the second offer to be higher than the first?Construct a linear inequality to
Kiyoshi's phone plan costs \(\$ 17.50\) per month plus \(\$ 0.15\) per text message. What is the maximum number of text messages Kiyoshi can use so the phone bill is no more than \(\$ 56.60\) ?Construct a linear inequality to solve the application.
Kellen wants to rent a banquet room in a restaurant for her cousin's baby shower. The restaurant charges \(\$ 350\) for the banquet room plus \(\$ 32.50\) per person for lunch. How many people can Kellen have at the shower if she wants the maximum cost to be \(\$ 1,500\) ?Construct a linear
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