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1. solve the following: $8 + (21 + 3) - 5$ 2. a package of cookies incl…

Question

  1. solve the following:

$8 + (21 + 3) - 5$

  1. a package of cookies includes 54 chocolate chip cookies. peter is going to split these cookies with 4 of his friends. write an expression to represent situation.
  2. find the missing numbers:

a. $x$: 0, __, 4, 6, __
b. $y$: 0, 1, 2, 3, ____
c. place the numbers in the table below and graph the ordered pairs.

$x$$y$
1
42
63

Explanation:

Step1: Solve the arithmetic expression

First calculate the parentheses, then add/subtract left to right.
$8+(21+3)-5 = 8+24-5$
$=32-5$
$=27$

Step2: Write the cookie split expression

Total people: Peter + 4 friends = 5 people. Split 54 cookies equally.
$\frac{54}{4+1}$ or $\frac{54}{5}$

Step3: Find missing x-values

x follows +2 sequence: 0, 2, 4, 6, 8

Step4: Find missing y-value

y follows +1 sequence: 0,1,2,3,4

Step5: Complete the table

Match x and y sequences:

xy
21
42
63
84

(Graph note: Plot ordered pairs (0,0), (2,1), (4,2), (6,3), (8,4) on the grid, with x on horizontal axis, y on vertical axis)

Answer:

  1. $27$
  2. $\boldsymbol{\frac{54}{4+1}}$ (or $\boldsymbol{\frac{54}{5}}$)

3.
a. $2$, $8$
b. $4$
c. Completed table:

xy
21
42
63
84

(Graph: Plot the ordered pairs (0,0), (2,1), (4,2), (6,3), (8,4) on the provided coordinate grid)