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Apply linear across unfamiliar problems: original cases with explanations after your first response.
Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.
Choose variables for the requested quantities and translate every equality or inequality before solving. A valid algebraic result must also satisfy any integer or contextual condition.
If 3(2x-5)-4(x+1)=9, what is x?
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The equations 2x+3y=19 and x-y=2 hold. What is y?
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How many integer values satisfy -7 less than 2x+1 less than or equal to 9?
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If |2x-3|=9, what is the sum of the two solutions?
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A taxi charges a fixed 4 plus 1.5 per mile. A ride costs 25 before tip. How many miles were traveled?
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For which value of k do 3x+2y=8 and 6x+ky=17 have no common solution?
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If a+b=14 and 2a-b=7, what is a-b?
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A store sells adult tickets for 12 and child tickets for 7. It sells 20 tickets for a total of 190. How many adult tickets were sold?
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How many real numbers solve |x-4|=0?
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Nonnegative integers a and b satisfy 4a+7b=56. How many ordered pairs (a,b) satisfy the equation?
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Substitute the result into the original model, especially after dividing by a negative coefficient or splitting an absolute-value equation.