IM Alg1.2.8 Practice: Which Variable to Solve for? (Part 1)

Priya is buying raisins and almonds to make trail mix.
[size=150]Priya is buying raisins and almonds to make trail mix. Almonds cost $5.20 per pound and raisins cost $2.75 per pound. Priya spent $11.70 buying almonds and raisins. The relationship between pounds of almonds [math]a[/math], pounds of raisins [math]r[/math], and the total cost is represented by the equation [math]5.20a+2.75r=11.70[/math].[br][/size][size=150][br]How many pounds of raisins did Priya buy if she bought the following amounts of almonds:[br][/size][br]2 pounds of almonds
1.06 pounds of almonds
0.64 pounds of almonds
[math]a[/math] pounds of almonds
Here is a linear equation in two variables:
[math]2x+4y-31=123[/math][br][br]Solve the equation, first for [math]x[/math] and then for [math]y[/math].
A chef bought $17.01 worth of ribs and chicken.
[size=150]Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation [math]0.9c+1.89r=17.01[/math] represents the relationship between the quantities in this situation.[br][br][/size]Show that each of the following equations is equivalent to [math]0.9c+1.89r=17.01[/math]. [br]Then, explain when it might be helpful to write the equation in these forms.[br][br][math]c=18.9-2.1r[/math]
[math]r=\text{-}\frac{10}{21}c+9[/math]
A car traveled 180 miles at a constant rate.
Complete the table to show the rate at which the car was traveling if it completed the same distance in each number of hours.
Write an equation that would make it easy to find the rate at which the car was traveling in miles per hour [math]r[/math], if it traveled for [math]t[/math] hours.[br]
Bananas cost $0.50 each, and apples cost $1.00 each.
Select [b]all [/b]the combinations of bananas and apples that Elena could buy for exactly $3.50.
A group of 280 elementary school students and 40 adults are going on a field trip.
[size=150]They are planning to use two different types of buses to get to the destination. The first type of bus holds 50 people and the second type of bus holds 56 people.[br][br][/size]Andre says that 3 of the first type of bus and 3 of the second type of bus will hold all of the students and adults going on the field trip. Is Andre correct? Explain your reasoning.
Elena says that equations A and B are not equivalent.
[list][size=150][*]Equation A: [math]13-5x=48[/math][/*][*]Equation B: [math]5x=35[/math][br][/*][/size][/list]Write a convincing explanation as to why this is true.
To grow properly, each tomato plant needs 1.5 square feet of soil and each broccoli plant needs 2.25 square feet of soil.
The graph shows the different combinations of broccoli and tomato plants in an 18 square foot plot of soil.[br][br][img]data:image/png;base64,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[/img][br]
Match each point to the statement that describes it.
Here is an equation:
[math]3x-4=5[/math][br][br]Select [b]all [/b]the equations that are equivalent to this equation.
Han is solving an equation.
[size=150]He took steps that are acceptable but ended up with equations that are clearly not true.[/size][br][br][math]\begin {align} 5x + 6 &= 7x + 5 - 2x &\quad& \text{original equation}\\ 5x + 6 &= 7x - 2x + 5 &\quad& \text{apply the commutative property}\\ 5x + 6 &= 5x + 5 &\quad& \text{combine like terms}\\ 6 &= 5&\quad& \text{subtract }5x \text{ from each side} \end {align}[/math][br][br]What can Han conclude as a result of these acceptable steps?
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Information: IM Alg1.2.8 Practice: Which Variable to Solve for? (Part 1)