NEW 2024 SATURDAY MATH CAMP SLOPE ALL STAAR TYPES

Triangle RVT and triangle RBS are similar right triangles. Which proportion represents the slope of the line containing R, S, and T?

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Triangle MNP and triangle JKL are similar right triangles. Which proportion can be used to show that the slope of Line JL is equal to the slope of Line MP?

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Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of line PR is equal to the slope of line RT?

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Triangle DEF and triangle GHI are similar right triangles. Based on this information, which statement is true?

• The relationship between the slope of the hypotenuse of triangle DEF and the slope of the hypotenuse of triangle GHI cannot be determined.

• The slope of the hypotenuse of triangle DEF is greater than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of triangle DEF is less than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI.

Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the vertices are integers. Which statement is true about the slope of line HK and the slope of line PK?

• The slope of line HK is less than the slope of line PK, because the ratio of the change in y-values of the endpoints to the change of x-values of the endpoints is less for line HK than it is for line PK.

• The slope of line HK is equal the slope of line PK, because the ratio of the change in y-values of the endpoints to the change of x-values of the endpoints is the same for line HK as it is for line PK.

• The slope of line HK is greater than the slope of line PK, because the ratio of the change in y-values of the endpoints to the change of x-values of the endpoints is greater for line HK than it is for line PK.

• The relationship between the slope of line HK and the slope of line PK cannot be determined because the triangles are congruent.

The graph of a linear function is shown on the coordinate grid. What are the slope and y intercept of the function?

slope: ​ (a)  

y-intercept:​ (​ (b)   ,​ (c)   )

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• -2
• -1

The graph of a linear function is shown on the coordinate grid. What are the slope and y intercept of the function?

slope: ​ (a)  

y-intercept:​ ​ (b)  

• -1

Josh is saving money to buy a computer. He put the initial amount he has saved into a jar. Each month he puts an additional amount of money into the jar. The table shows the linear relationship between the number of months Josh has added money to the jar, x, and the amount of money in the jar, y. Which statement is true?

• The initial amount Josh put in the jar was $225.

• The initial amount Josh put in the jar was $75.

• The amount of money Josh adds to the jar each month is $45.

• The amount of money Josh adds to the jar each month is $60.

Josh is saving money to buy a computer. He put the initial amount he has saved into a jar. Each month he puts an additional amount of money into the jar. The table shows the linear relationship between the number of months Josh has added money to the jar, x, and the amount of money in the jar, y. Which statement is true?

• The initial amount Josh put in the jar was $225.

• The initial amount Josh put in the jar was $45.

• The amount of money Josh adds to the jar each month is $30.

• The amount of money Josh adds to the jar each month is $60.

The line graphed on the coordinate grid can be used to determine the number of inches of water added to a swimming pool after different number of hours. Which statement best describes the slope of the graphed line?

• The water is being added at a rate of 0.42 inches per hour.

• The water is being added at a rate of 0.80 inches per hour.

• The water is being added at a rate of 2.40 inches per hour.

• The water is being added at a rate of 1.25 inches per hour.